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**Unit 7: Independent Practice** **1.** A triangle with vertices \( T(0, 0) \), \( U(0, 3) \), and \( V(4, 0) \) is dilated, and the vertices of the new triangle are \( T'(0, 0) \), \( U'(0, 1.5) \), and \( V'(2, 0) \). Which best represents the scale factor applied to the original triangle? ⓐ \((1x, 1y)\) ⓑ \((0x, 0y)\) ⓒ \((0x, -0.5y)\) ⓓ \((0.5x, 0.5y)\) **2.** The city planning committee votes to change one of the baseball fields to be used as a softball field. The softball field is shown on the grid. *The image shows a grid with a diamond-shaped figure. The coordinates of the corners are labeled as \( L(0, 7.5) \), \( M(6, 1.5) \), \( N(0, -3.5) \), and \( O(-6, 1.5) \).* The algebraic expressions \( (\frac{2}{3}x, \frac{2}{3}y) \) are used to describe the dilation of the baseball field. Which point does NOT correctly reflect the dilation? ⓔ \( L(0, 7.5) \) ⓕ \( M(6, 1.5) \) ⓖ \( N(0, -3.5) \) ⓗ \( O(-6, 1.5) \) **3.** Parallelogram \( UVWX \) is dilated to form parallelogram \( U'V'W'X' \). *The diagram is a grid showing two parallelograms, one smaller and inside the other, sharing the same center point. Parallelogram \( U'V'W'X' \) is the smaller one inside \( UVWX \).* Which best represents the dilation of parallelogram \( UVWX \) to parallelogram \( U'V'W'X' \)? ⓐ \((\frac{1}{2}x, \frac{1}{2}y)\

**Unit 7: Independent Practice** **1.** A triangle with vertices \( T(0, 0) \), \( U(0, 3) \), and \( V(4, 0) \) is dilated, and the vertices of the new triangle are \( T'(0, 0) \), \( U'(0, 1.5) \), and \( V'(2, 0) \). Which best represents the scale factor applied to the original triangle? ⓐ \((1x, 1y)\) ⓑ \((0x, 0y)\) ⓒ \((0x, -0.5y)\) ⓓ \((0.5x, 0.5y)\) **2.** The city planning committee votes to change one of the baseball fields to be used as a softball field. The softball field is shown on the grid. *The image shows a grid with a diamond-shaped figure. The coordinates of the corners are labeled as \( L(0, 7.5) \), \( M(6, 1.5) \), \( N(0, -3.5) \), and \( O(-6, 1.5) \).* The algebraic expressions \( (\frac{2}{3}x, \frac{2}{3}y) \) are used to describe the dilation of the baseball field. Which point does NOT correctly reflect the dilation? ⓔ \( L(0, 7.5) \) ⓕ \( M(6, 1.5) \) ⓖ \( N(0, -3.5) \) ⓗ \( O(-6, 1.5) \) **3.** Parallelogram \( UVWX \) is dilated to form parallelogram \( U'V'W'X' \). *The diagram is a grid showing two parallelograms, one smaller and inside the other, sharing the same center point. Parallelogram \( U'V'W'X' \) is the smaller one inside \( UVWX \).* Which best represents the dilation of parallelogram \( UVWX \) to parallelogram \( U'V'W'X' \)? ⓐ \((\frac{1}{2}x, \frac{1}{2}y)\

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Unit 7: Independent Practice** **1.** A triangle with vertices \( T(0, 0) \), \( U(0, 3) \), and \( V(4, 0) \) is dilated, and the vertices of the new triangle are \( T'(0, 0) \), \( U'(0, 1.5) \), and \( V'(2, 0) \). Which best represents the scale factor applied to the original triangle? ⓐ \((1x, 1y)\) ⓑ \((0x, 0y)\) ⓒ \((0x, -0.5y)\) ⓓ \((0.5x, 0.5y)\) **2.** The city planning committee votes to change one of the baseball fields to be used as a softball field. The softball field is shown on the grid. *The image shows a grid with a diamond-shaped figure. The coordinates of the corners are labeled as \( L(0, 7.5) \), \( M(6, 1.5) \), \( N(0, -3.5) \), and \( O(-6, 1.5) \).* The algebraic expressions \( (\frac{2}{3}x, \frac{2}{3}y) \) are used to describe the dilation of the baseball field. Which point does NOT correctly reflect the dilation? ⓔ \( L(0, 7.5) \) ⓕ \( M(6, 1.5) \) ⓖ \( N(0, -3.5) \) ⓗ \( O(-6, 1.5) \) **3.** Parallelogram \( UVWX \) is dilated to form parallelogram \( U'V'W'X' \). *The diagram is a grid showing two parallelograms, one smaller and inside the other, sharing the same center point. Parallelogram \( U'V'W'X' \) is the smaller one inside \( UVWX \).* Which best represents the dilation of parallelogram \( UVWX \) to parallelogram \( U'V'W'X' \)? ⓐ \((\frac{1}{2}x, \frac{1}{2}y)\
Transcribed Image Text:**Unit 7: Independent Practice** **1.** A triangle with vertices \( T(0, 0) \), \( U(0, 3) \), and \( V(4, 0) \) is dilated, and the vertices of the new triangle are \( T'(0, 0) \), \( U'(0, 1.5) \), and \( V'(2, 0) \). Which best represents the scale factor applied to the original triangle? ⓐ \((1x, 1y)\) ⓑ \((0x, 0y)\) ⓒ \((0x, -0.5y)\) ⓓ \((0.5x, 0.5y)\) **2.** The city planning committee votes to change one of the baseball fields to be used as a softball field. The softball field is shown on the grid. *The image shows a grid with a diamond-shaped figure. The coordinates of the corners are labeled as \( L(0, 7.5) \), \( M(6, 1.5) \), \( N(0, -3.5) \), and \( O(-6, 1.5) \).* The algebraic expressions \( (\frac{2}{3}x, \frac{2}{3}y) \) are used to describe the dilation of the baseball field. Which point does NOT correctly reflect the dilation? ⓔ \( L(0, 7.5) \) ⓕ \( M(6, 1.5) \) ⓖ \( N(0, -3.5) \) ⓗ \( O(-6, 1.5) \) **3.** Parallelogram \( UVWX \) is dilated to form parallelogram \( U'V'W'X' \). *The diagram is a grid showing two parallelograms, one smaller and inside the other, sharing the same center point. Parallelogram \( U'V'W'X' \) is the smaller one inside \( UVWX \).* Which best represents the dilation of parallelogram \( UVWX \) to parallelogram \( U'V'W'X' \)? ⓐ \((\frac{1}{2}x, \frac{1}{2}y)\
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