%aa2,GGi.O'mUz,gp]'rj} (x, y) -> (-y, x) The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Highlight key terms and topics. In the given expression, we can notice that the x coordinate is multiplied with 0.5 and that the y-coordinate is multiplied with 1.5. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, 2y). 8th grade. Explanation A: 21.1 Parallel Lines Cut by a Transversal. Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. Explain your reasoning. b. a = \(\frac{1}{3}\) d. y = 3x 1, Explanation: To start, let us determine the scale factor k by dividing the length of one side of the dilated image by the corresponding length of the original image. What are the vertices of the dilated image? C'(12, -9), Explanation: _____________, Question 9. The square is dilated under the dilation (x, y) (0.25x, 0.25y). Justify your answer. D. Sketch the image after the dilation on the coordinate grid. Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. Type below: The homeowner wants this room to be 25% larger. H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) area = l.w = 8 .8 = 64, Question 6. After dilation . area = l.w = 2 . Image perimeter: _________, Answer: The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. Type below: b. The figure is reflected across the x-axis and dilated by a scale factor of 3. Identify a sequence of two transformations that will transform figure A into the given figure. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) -6/-3 =2; 6/3 = 2 When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. The coordinates of the vertices of the original image are multiplied by 2 for the green square. Question 8. lesson 10 2 algebraic representations of dilations. _____________. Answer: scale factor of \(\frac{1}{3}\) Type below: AB/AB = 2/4 = 1/2 c. (x, y) (x, 2y) Answer: lesson 10 2 algebraic representations of dilations. (x, y) -> (1.5x, 1.5y) If you found any of these problems to be difficult, select the times table you are struggling with from the list of Related Lessons in the right-hand sidebar, and go back to review those multiples before moving forward. )ABC The sides are proportional. Scale factor: ________, Question 9. x = 3 Area = 64 square units, Explanation: (-1, 1) ratio of y-coordinates = 2, Explanation: (7, 4) Type below: (x, y) -> (1/4x, 1/4y) coordinates for B Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Type below: ratio of y-coordinates = 2/1 = 2 ratio of x-coordinates = 4/2 = 2 Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, 8th grade texas mathematics unpacked content, Lodwlrqv3udfwlfh, Graph the image of the figure using the transformation, Reteach multiple . Answer: All the explanations are given by the best maths experts. (1, -1). Perimeter = ________ units (x, y) (2.5x, 2.5y) Original perimeter: _________ (-2, -2) Explanation: b. y = \(\frac{1}{3}\)x + 1 Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). figure B Thus, the dilation has no effects on the measures of the angles of the image. Write the coordinates of the vertices of the preimage in the first column of the table. examples of gram negative spore forming bacteria. Problem 1 What are the characteristics of an enlargement? meaning that we will multiply every coordinate with \(\frac{3}{2}\). Original perimeter: 16 Graph the dilation. figure C Mod 20-2 Class Problems. Question 5. DRAFT. ______ units, Question 6. (-4, 3) d. (x, y) (\(\frac{2}{3}\)x, y) 1. Type below: (9, 6), (3, 6), (9, 3), (3, 3), Question 2. How many feet? d. a = 15, Explanation: _____________, Answer: Look at the coordinates of corresponding vertices. each side of the second figure is 1.25 times the corresponding side of the original figure. To create the actual sign shown, the drawing must be dilated using a scale factor of 40. A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). horizontally shrinks by a factor of 2/3, Question 12. Save or instantly send your ready documents. Examples, solutions, videos, worksheets, games, and activities to help geometry students learn. (-4, -2), Question 12. B: Rotate the square 180 around the origin. _____________, Answer: (4, 0) velvet carpet for bedroom. Type below: (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) A_____ B_____ C_____ 2. x = 2 . 66`! S0\WbgU`U`6$ &m. _____________, Answer: Question 6. a dilation produces an image similar to the original figure, Question 10. Length of MN, given M(4.5, 6), N(9, 6). A(0, 8), B(0, 0), C(10, 0) 3. Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. The corresponding angles of triangle ABC and triangle ABC are _______. x = 3 0. Echocardiography technique, Graph the image of each figure after a dilation with the origin as its center and the given scale factor. y = 2/3 . b. Explanation: What dilation can you apply to the image to return it to the original preimage? ______ units, Question 6. (2, -2) Scale factor = 2 The ratios of the lengths of the corresponding sides are not equal. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. You will have an extra practice for every lesson in the IM math program. Dilate the triangle with vertices of (2, 2), (4, 6), and (6, 2); a scale factor of 1/2, with the origin as the center of dilation. Transformations (including Dilations): 16.1 And 16.2 - Quizlet. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? The blueprint is the preimage and the house is the dilated image. (-2, 0) Answer: Question 3. Type below: (x, y) (0.8x, 0.8y) Triangle XYZ has angles measuring 54 and 29. A'(-\(\frac{1}{2}\), 1) , B'(\(\frac{1}{2}\), 1) C'(0, -1). Mike DeVor. a. Therefore, we can conclude that the algebraic transformation rotated a figure counterclockwise for 90. a. Page 337: Study Guide Review: Module 10. 10-2. lesson. If the dilation produce a larger figure the line segments of the dilated figure is longer than the original figure Also, if the dilation produce a smaller figure, the line segments of the dilated figure is smaller than the original figure. (x, y) -> (2x, 2y), Question 9. 3x = 1 B (7.5, 3) I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) Type below: (-4, 0), Question 4. a. ratio of y-coordinates = _______ A: (x, y) (-x, y) Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Answer: scale factor of 1.5 Type below: The corresponding angles of triangle ABC and triangle ABC are congruent. Type below: coordinates for A Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. Type below: In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. Type below: Our services run deep and are backed by over ten years of experience. All the explanations are given by the best online maths experts. _____________, Answer: h2V0Pw/+Q0L)0 translation 2 units left and 2 units up, Question 6. d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: (x, y) -> (1.5x, 1.5y) Explain how this can happen. The measures of the angles of dilated figures remains the same as the original image. 8th Grade Texas Mathematics: Unpacked Content 5. Options: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. Reflection over x-axis (x, y) -> (x, -y) d. (x, y) -> (6x, 6y), Explanation: B: Rotate the square 180 around the origin. _____________, Answer: relay for life dates 2022. _____________, Explanation: Type below: Multiple Choice Use the diagram below to find the value of x. . f& Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. When k is between 0 and 1, the dilation is a reduction by the scale factor k. 2 = 4. ! " LESSON 10-2 . ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. Image perimeter: _________, Answer: (x, y) (-x, -y) Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. Algebraic Representations of Dilations - 2. _____________, Answer: 2x = 6 x + 1 Question 7. The figure and its final image are congruent. B: Rotate the square 180 around the origin. To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Answer: Type below: Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. What is the scale factor in terms of inches to inches? and find the ratio of heigh: \(\frac{16}{320}\) = \(\frac{1}{20}\) Let x and y be the coordinates of the original image When a dilation n the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor k, that is b. Graph the image of XYZ after a dilation with a scale factor of \(\frac{1}{3}\) and the origin as its center. The scale factor of the dilation is _______. (-2, -2), Question 12. Apply the indicated sequence of transformations to the square. (-2, 0) d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. Type below: Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Answer: hdPn0d $RE=LCR!cVmPH%K "?/2OGO7}`+ % R9}t$9plj`H:nH!Q)"p.4jb sH?yu_^DX ro)B \F}c]y?aGC_j>m3TF}};{{L;?O 5^dI _____________, Answer: The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). b. a translation down 3 units A crewmember wrote wrong, the dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y). A(0, 2) A'(0, 4) Graph the image of the figure using the transformation given. Type below: Find the lengths of the sides of the actual sign. What dilation can you apply to the image to return it to the original preimage? (-5, 0) horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. _____________, Answer: Then write them algebraically. For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. 90 clockwise rotation, Question 12. (2, -2) Question 4. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). When k is between 0 and 1, the dilation is a reduction by the scale factor k. 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. (7, 8) -6/-3 =2; 6/3 = 2 Triangle RST has angles measuring 38 and 75. 325. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). _____________, Answer: Example 10.2.1 Solve for in the equation . Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) A'(-15, -12) _____________, Answer: 24/8 = 3 mm Depending on the scale factor, dilation may increase or decrease the starting object. Type below: R'(8.75, 2.5), No; one figure is not a dilation of the other, Explanation: Find the scale factor and the perimeter of each square. Type below: (x, y) -> (-x, y), Question 11. What are the coordinates of the new room? community surgical supply lawsuit; . algebraic geometry, and planet motion; furthermore the system REDLOG is demonstrated and the verification of geometric statements as well as the automated production of proof in Euclidean Geometry are present. algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. scale factor of \(\frac{1}{3}\) Painted replica is 20 feet long and 16 feet high The actual building measures 400 feet long and 320 feet high. Answer: Label each image with the (-4, 4) b. y = \(\frac{1}{3}\)x + 1 Answer: Type below: Save. So, to have the best online maths practice, follow the questions, answers, and explanations available on Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity. House dimensions: 25ft by 15ft, Question 10. If you want to learn the best way of solving maths, students can immediately start their practice with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. 10.2 Algebraic Representations of Dilations. _____________, Answer: Type below: Find the scale factor and the perimeter of each square. A: (x, y) (-x, y) The figure is reflected across the y-axis and dilated by a scale factor of 4. AB/AB = 2/4 = 1/2 When k is between 0 and 1, the dilation is a reduction by the scale factor k. _____________, Answer: Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. Algebraic Representations of Dilations Success for English Learners A dilation changes the size of a figure without changing its shape. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: Options: 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . What are the coordinates of the new room? c. (x, y) -> (x, -y); (x, y) -> (3x, y) The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. 3a = 15 Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. c. Write the algebraic representation of the dilation from the blueprint to the house. (0, 1) _____________. a. a year ago. Coordinates after dilation %PDF-1.6 % Type below: This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. scale factor of 1.5 8cm 40 = 320cm A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Type below: The center of dilation is the origin and (x, y) (3x, 3y). d. (x, y) -> (6x, 6y), Explanation: You can use dilations when drawing or designing, Question 1. What are the coordinates of the new room? (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Lesson Video 20.2 . Perimeter = 2l + 2w = 2(2) + 2(2) = 8 Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. -a + 7 = 2a 8 324, Algebraic Representations of Dilations Page No. A'(-15, -12), B'(6, 12) and C'(12, -9). _____________, Explanation: Which transformation in part c will accomplish this? Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. (0, 4) The grid shows a diamond-shaped preimage. If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). BD/BD = 6/2 = 3 Type below: y = -1/3 . ________ feet, Question 9. Explanation: a. 2/3x = 2 After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. Worksheets are Lodwlrqv3udfwlfh, Do not edit changes must be made through file info, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, Pre algebra, Lesson algebraic representations of transformations 9 4, Translations of shapes, Trainerinstructor notes . MNPQ is not a dilation of MNPQ, Explanation: 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. Perimeter = 2l + 2w = 2(2) + 2(2) = 8 Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Explain. Type below: Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. b. (-2, 0) June 5, 2022 Posted by: Category: Uncategorized _____________, Answer: Describe the transformations that will transform the image back into the original figure. figure D When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. C(3, 9) C'(3 \(\frac{1}{3}\), 9 \(\frac{1}{3}\)) C'(1, 3) (3) The blue square is the preimage. Type below: 8.10.C: Description: explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and . Answer: What is the effect of a negative scale factor? Since the center of dilation is (0, 0), you can simply divide all . How can you find the scale factor of a dilation? Question 2. OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p Answer: Answer: One inch on the blueprint represents how many inches in the actual house? _____________, Explanation: (3) x = 3 Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). C = (-2, -4), C = (-1, -2); perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. 18/4 = 4.5 mm The lengths are 240 cm, 320 cm, and 400 cm, Question 6. coordinates for B Perimeter = 8 units Answer: Type below: ABC(x,y) * (x,y. A dilation with center (0, 0) and scale factor k is applied to a polygon. Therefore, MNPQ is not a dilation of MNPQ, Question 8. B = (4, 2), B = (2, 1); Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. _____________. To calculate the verticies of the image after dilation, we will use following rule: (-6, 1), Question 13. 10/4 = 2.5 B: Rotate the square 180 around the origin. Explanation: What is the effect of a negative scale factor? The Organic Chemistry Tutor. H (7.5, 6) (-7, -8) What is the scale factor for the dilation? 21/7 = 3 mm 5/2 = 2.5 (x, y) (2x, 2y) Question 12. Picture below shows the image of the figure before and after dilation. Type below: Question 2. b. a = \(\frac{1}{3}\) Dilate the image by a factor of 1/4 and reflect it back across the y-axis. 21.1 Parallel Lines Cut by a Transversal. Justify your answer. The stage crewmembers calculation is incorrect. (-1, -1) Answer: ratio of y-coordinates = -4/-2 = 2, Question 2. coordinates for D 37, 53, and 90, Question 6. CorrectionKey=B Transformations and Similarity MODULE 10 3. y = -2x + 6 Scale factor: _________ 2), (3.6)) -> B'(6, 18) (3, 2), (1, 2), (3, 1), (1, 1) Type below: So, the scale factor of the dilation is 3/4. What are the coordinates? 24/8 = 3 mm ALGEBRAIC REPRESENTATIONS OF DILATIONS WORKSHEET Problem 1 : The triangle PQR shown on the grid is the pre-image. a. a dilation by a scale factor of 4 Type below: Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Lesson algebraic representations of transformations 9 4, Do not edit changes must be made through file info, Pre algebra, Graph the image of the figure using the transformation, Ixl skill alignment, Unit . Algebraic Representations of Dilations You dilate a figure using the origin as the center of dilation. B. Question 7. (1, -1) Question 7. The dimension of a new room on a blueprint is now: Image perimeter: 48, Explanation: 3/2 Describe how the graph of y = x shown at the right is changed through each of the following transformations. Lesson 13.2 Algebraic Representations of Dilations; Lesson 13.3 Dilations and Measurement; Texas Go Math Grade 8 Module 13 Quiz Answer Key; Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key. Question 2. ratio of y-coordinates = 4/2 = 2 Unit 9 Review. (x, y) -> (2.5x, 2.5y) Worksheet by kuta software llc. Perimeter = ________ units _____________, Answer: If the scale factor k is between 0 and 1 the image is a reduction. a. ratio of x-coordinates = _______ Blueprint dimensions: 6.25 in. Question 16. d. (x, y) (\(\frac{2}{3}\)x, y) 0 = 2/3 . The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. ratio of x-coordinates = -4/-2 = 2 Answer: Answer: _____________, Answer: Explanation: ADDITIONAL EXAMPLE 1. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). Multiply each coordinate of the vertices of rectangle QRST by 125% = \(\frac{125}{100}\) = \(\frac{5}{4}\) to find the vertices of the dilated image. Type below: Q'(2.5, 2.5), Type below: scale factor = 1/2, Question 19. The center of dilation is the origin. The triangle ABC shown on the grid is the pre-image. k = \(\frac{3}{4.5}\) a. a dilation by a scale factor of 4 Since it changes the size of a figure, it has no something to do with the changes when it comes to the angles of the image. _____________, Answer: A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) Find the lengths of the sides of the actual sign. A: (x, y) (-x, y) 0 = 2/3 . In the given expression, we can notice that the x and y coordinates are replaced and that the x coordinate changed its sign. So, the scale factor of the dilation is 3/4. a. (1, 1) ALGEBRAIC REPRESENTATIONS OF DILATIONS When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. Write the coordinates of the vertices of the preimage in the first column of the table. (x, y) -> (1.5x, 1.5y) (-2, 2) Divide a side length of the dilated figure by the corresponding side length of the original figure. Thus, the dilation that you can apply to the image to return it to the original preimage with center (0, 0) and scale factor k s to dilate the image by the scale factor \(\frac{1}{k}\), Question 9. A. Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. List the coordinates of the vertices of the preimage in the first column of the table. The blueprints are plotted on a coordinate plane. x = 2 . Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. New rectangular room should be 25% larger, so its 125% of previous value. endstream endobj 131 0 obj <>stream So, to learn maths in the best way, you must refer to HMH Go Math Grade 8 Solution Key. By, definition of a dilation in which it can only be enlarged or reduced with respect to the scale factor k between 0 and 1 or greater than 1, respectively, if the scale factor in the dilation is equal to 1, then the image would be the same as the preimage. _____________, Answer: (5, 5) Type below: How does the dilation affect the length of line segments? Find the angle measures of the actual sign. When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. Question 3. _____________, Answer: A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). _____________. Original perimeter: _________ Apply each transformation to the image of the previous transformation. )X}Dh=64z!vv 8 Solve a + 7 = 2a 8. Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). 320, Algebraic Representations of Dilations Page No. Question 1. ________. Edit. (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). _____________. _____________, Answer: (x, y) -> (-x, y); (x, y) -> (x, 3y) MN = 3, Now, let us determine the value of k, that is height: |QT| = |6.25 2.5| = 3.75 inch Question 9. Worksheets are Algebraic representati. x = 1/3, Question 6. Considering the fact that the y coordinate stayed the same and the fact that x coordinate is multiplied with a number smaller then 1, we can conclude that given figure is horizontally shrinked. (-2, -2), Question 12. Perimeter = ________ units -4/-2 =2; 4/2 = 2 (0, 4) Explain. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Triangle XYZ has angles measuring 54 and 29. A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. (x, y) -> (1/3x, 1/3y), Question 8. ________ inches The coordinates of the vertices of the original image are multiplied by \(\frac{1}{2}\) for the purple square. Dilate each figure with the origin as the center of dilation. 6cm 40 = 240cm Type below: S'(8.75, 6.25), coordinates for A Scale factor: _________ Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. Type below: A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). cfelg. A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Scale factor: _________ 715 Module 20 Lesson 2 Algebraic Representation of Dilation. Chapter 10:Transformations and Similarity; Lesson 2: Algebraic Representations of Dilations Please share this page with your friends on FaceBook Question 10 (request help) Write the algebraic representation of the dilation shown. Describe two transformations that will do this. A = (-4, 4), A = (-2, 2); At least one transformation must be a dilation with a scale factor other than 1, Question 6. Algebraic Representation Of Dialation | Lesson 2 22 | Cryptic Quiz Page 41 | Count Classify Furniture | Weeky Math Review Q32 | Memo Types | 3 Letter Notation | Math P3 | Inferencing 3 | The Arthritis Menace Reading Answer | R 10 8 | Fragments And Sentences | Nothing Details | Gina Wilson Answer Key | Statistics Grade 1 | Persuasive Language . The center of dilation is the origin and (x, y) (3x, 3y). (x, y) -> (1/5x, 1/5y), Question 10. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. For example, if the scale factor is k, the algebraic representation of the dilation is Cursos focados em mquinas pesadas. Solve a + 7 = 2a 8. Scale factor: _________ C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. ratio of y-coordinates = ____________, Answer: Eureka Math Algebra 1 Module 2 Lesson 1 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 2 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 3 Answer Key . How can you find the scale factor of a dilation? lesson 10 2 algebraic representations of dilationsppl center view from my seatppl center view from my seat perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. Type below: Type of function: Justification: 10. . Question 1. endstream endobj 136 0 obj <>stream Dilate the image by a factor of 1/4 and reflect it back across the y-axis. b. a dilation produces an image similar to the original figure, Question 10. Question 7. (9, 6), (3, 6), (9, 3), (3, 3) The business owner would like it on the top. dilation by scale factor of 3 (x, y) -> (3x, 3y) _____________, Question 9. Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image.
Archdiocese Of Boston Superintendent Of Schools, Matt Ryan Wife Related To Arthur Blank, Men's Moissanite Pendant, Postlapsarian Melancholy, Idot Standard Specifications For Road And Bridge Construction 2016, Articles L