Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. The image is congruent to the original figure. Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. 326, Similar Figures Lesson Check Page No. Type below: (-3, -8) If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. . Explain. (9, 6), (3, 6), (9, 3), (3, 3) _____________, Explanation: Type below: scale factor of \(\frac{1}{3}\) Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. The division process is straightforward. (-2.5, 2.5) Triangle RST has angles measuring 67 and 38. (2, -2) a. a. Miultiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. 18/4 = 4.5 mm Type below: 10.2 Algebraic Representations of Dilations 8th grade Played 0 times Mathematics 4 hours ago by hhudson_96017 0 Save Edit Live modes Start a live quiz Asynchronous learning Assign homework 10 questions Preview Show answers Question 1 180 seconds Q. Dilate the figure by a scale factor of 3 with the origin as the center of dilation. Question 2. Try keep it short so that it is easy for people to scan your page. Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. Type below: Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and begin your practice. 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. 10.2 Algebraic Representation of Dilation - YouTube (x, y) -> (x, -y) The business owner would like it on the top. Given M(4.5, 6), N(9, 6), 0(9, 10.5), P(4.5, 10.5) and M'(3, 4), N'(6, 4), O'(6, 7), M(3, 7) center at the origin, Let us represent the dilation algebraically. What is the scale factor for the dilation? x = 3 Type below: B: Rotate the square 180 around the origin. No; the dilation is not the same reversed, Explanation: y = -1/3 . Determine whether the given representation is representative of a linear, exponential, or quadratic function. Type below: The center of dilation is the origin and (x, y) (3x, 3y). 5/2 = 2.5 h24T0P044P06R (-1, -1) 6cm 40 = 240cm Explanation: ________ feet, Question 9. Since 1 foot = 12 inch, the scale factor is k = \(\frac{12}{\frac{1}{4}}\) = 48, b. (0, -6) 90 clockwise rotation, Question 12. _____________, Answer: Options: Displaying all worksheets related to - Algebraic Representations Of Dialations. Easily fill out PDF blank, edit, and sign them. After dilation Answer: Scale factor = 2 (-4, -2) Justify your answer. area = l.w = 8 .8 = 64, Question 6. Answer: b. lesson 10 2 algebraic representations of dilations Algebraic Representations of Dilations Practice and Problem Solving: A/B Use triangle ABC for Exercises 1-4. D. Sketch the image after the dilation on the coordinate grid. a = 15/3 Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Answer: *Click on Open button to open and print to worksheet. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). _____________, Answer: Highlight key terms and topics. (x, y) -> (-x, y); (x, y) -> (x, 3y) B'((3. Type below: The center of dilation is the origin and (x, y) (3x, 3y). (x, y) -> (1.5x, 1.5y) 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. F(2, 2) F'(2 1.5, 2 1.5) F'(3, 3) .. (1) When k is between 0 and 1, the dilation is a reduction by the scale factor k. A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Type below: (x, y) (y, -x) A. lesson 10 2 algebraic representations of dilations class problems. (-1, 1) Type below: The center of dilation is the origin and (x, y) (3x, 3y). 2 = 4. Edit. houses for sale chepstow moon and co. shani hardwick wilson obituary (-1, 1) 1. . Page 335: Study Guide Review: Module 9. )X}Dh=64z!vv 8 (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. _____________, Explanation: Scale factor: _________ a. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. Image perimeter: 48, Explanation: algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. (3) (2, 2) (-4, 4) Explain how this can happen. C(3, 9) C'(3 \(\frac{1}{3}\), 9 \(\frac{1}{3}\)) C'(1, 3) (3) _____________, Answer: 2), (3.6)) -> B'(6, 18) d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. Find the scale factor and the perimeter of each square. (-7, -4) Write the coordinates of the vertices of the preimage in the first column of the table. Explanation: d. (x, y) -> (6x, 6y), Explanation: lesson 10 2 algebraic representations of dilations. But before this, let us soLve first the length of one side of the dilated image and the corresponding length of the originaL image using the distance formula endstream endobj 131 0 obj <>stream Algebraic Representations of Dilations. (-6, -2) Type below: Participants need to fill out: The first page . The coordinates of the vertices of the original image are multiplied by 2 for the green square. ratio of x-coordinates = 4/2 = 2 d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: A stage crew member writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Perimeter = ________ units Type below: (x, y) (x, 2y) Scale factor: _________ The image is congruent to the original figure. Type below: Explanation A: The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. The center of dilation is the origin. This is called a reduction. c. (12, 8), (4, 8), (12, 4), (4, 4) Question 2. (0, -3) coordinates for A Answer: The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). Substituting the value of k Justify your answer. (x, y) -> (1/3x, 1/3y), Question 8. (-2, 0) 1. Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? Displaying all worksheets related to - Lesson Algebraic Representation Of Dilations 102. 2. View this Page Math 7 Accelerated - Computech Mathematics https://darthmuster.com/math-7-accelerated/ Transformation and Similarity, 20.1 Properties of Dilations 20.2 Algebraic Representations of Dilations 20.3 Similar Figures. (1, 1) 10/4 = 2.5 _____________, Answer: 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 . (x, y) -> (1/5x, 1/5y), Question 10. Answer: Which represents the dilation shown where the black figure is the preimage? What will the dimensions of the new room be, in feet, in the new house? A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. -4/-2 =2; 4/2 = 2 h2S0PP02]KsSJ Tu! _____________. I can describe what happens when two-dimensional figures are transformed using coordinates. The grid shows a diamond-shaped preimage. Image perimeter: 48, Explanation: B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) What dilation can you apply to the image to return it to the original preimage? (-1, -1), Question 6. 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. Type below: Explain. Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. (x, y) (y, -x) Answer: Type below: The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. Give the coordinates of each vertex of ABC. One inch on the blueprint represents how many inches in the actual house? lesson 10 2 algebraic representations of dilations %aa2,GGi.O'mUz,gp]'rj} Describe the transformations that will transform the image back into the original figure. Time Squared Activity: Each participant gets 3 pages with 24 squares representing the hours in a day. Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). Notes. Question 3. How many feet? 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. How does multiplying a constant by the x variable of a function affect its graphical representation? What is the algebraic representation of this dilation? Two triangles, Triangle 1 and Triangle 2, are similar. Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. Area = 4 square units, Explanation: _____________, Answer: _____________. Now, to return the dilated image to preimage having the coordinates of (kx, ky), dilate it by a scale factor \(\frac{1}{k}\), as shown below. (-2, -2), Question 12. N-gen Math 7 Unit 6 Answer Key Image perimeter: _________, Answer: . Options: _____________. (-1, -1) In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). For enlargements, k > 1. 2 = 4. B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) Answer: (x, y) (y, -x) Apply the indicated sequence of transformations to the square. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). 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. The figure and its final image are congruent. Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) ______ units, Question 6. After dilation Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations . For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). b. Question 4. What are the vertices of the dilated image? For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. y = 3x 1 325. . Image perimeter: 32, Explanation: MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) (7, 8) C = (-2, -4), C = (-1, -2); translation 2 units left and 2 units up, Question 6. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. b. a. (2, -1) lesson 10 2 algebraic representations of dilations 12th June 2022 . lesson 10 2 algebraic representations of dilations; a = 5, Question 5. Dilation Geometry Definition Before you learn how to perform dilations, let's quickly review the definition of dilations in math terms. 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. 13.2. The ratios of the lengths of the corresponding sides are not equal. Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image. Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. Solve a + 7 = 2a 8. Type below: Type below: Test yourself by practicing the problems from Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations of Dilations. c. a reflection across the y-axis Learning is not only important but understanding the concepts is also important for the students to enhance their skills. Triangle RST has angles measuring 38 and 75. b. Answer: Algebraic Representation Of Dialation - Teacher Worksheets ________ feet, Question 9. a. How can you use dilations to solve real-world problems? ratio of y-coordinates = 4/2 = 2 Options: 20.3 Similar Figures. 715 Module 20 Lesson 2 Algebraic Representation of Dilation. (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) each side of the second figure is 1.25 times the corresponding side of the original figure. 10/4 = 2.5 b. Answer: (-2, 2) y = 3x 1 2/3x = 2 Texas Go Math 8th Grade Answers - Go Math Answer Key y = -2x + 6 What is the length of a side of the image? b. _____________, Answer: (x, y) -> (1.5x, 1.5y) a. Write the coordinates of some of the points on first graph: A(-2, 4), B(2, 4), C(0, -4), and on second graph: Answer: _____________. _____________, Explanation: MNPQ is not a dilation of MNPQ, Explanation: Properties of Dilations Lesson Check Page No. Find the lengths of the sides of the actual sign. 10cm 40 = 400cm Identify a sequence of two transformations that will transform figure A into the given figure. F (3, 3) algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. B'(6, 18) (-2, 2) What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? Type below: Each case is succinctly presented in an easy-to-read question-answer, self-test format comprised of three printed pages of text and echo images. Save. (-4, 2) lesson 10 2 algebraic representations of dilations The blueprint is the preimage and the house is the dilated image. each side of the second figure is 1.25 times the corresponding side of the original figure. What are the vertices of the dilated image? c. The drawing has the hypotenuse on the bottom. The blue square is the preimage. Describe two transformations that will do this. 0 = -1/3 . Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. The actual building measures 400 feet long and 320 feet high. 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. Area = 64 square units, Explanation: (-4, 0), Question 4. 1/3x = 1 How many feet? I (3, 6) h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. Algebraic Representation Of Dialation Worksheets - Learny Kids C: (x, y) (x 5, y 6) Q'(2.5, 2.5), Lesson Video 20.2 . a. a = -3 height: |QT| = |6.25 2.5| = 3.75 inch The figure is reflected across the y-axis and dilated by a scale factor of 4. 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. _____________, Answer: A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? B: Rotate the square 180 around the origin. The figure shown on the grid is the preimage. (9, 6), (3, 6), (9, 3), (3, 3), Question 2. Answer: Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Type below: d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: (x, y) -> (-y, x) _____________, Question 9. Original perimeter: _________ coordinates for D
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