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In the graph, △PQR ≅ △STU. **Graph Explanation:** The graph displays two triangles on a coordinate plane. Triangle PQR is positioned in the first quadrant with vertices at the following approximate coordinates: P(-4, 2), Q(-2, 6), and R(-1, 3). Triangle STU is in the fourth quadrant, featuring vertices at S(1, -2), T(3, -6), and U(5, -3). The two triangles are congruent, meaning they have the same shape and size, but are positioned differently on the plane. **Instruction:** Choose the words that complete the statement to describe a composition of rigid motions that maps △PQR to △STU. 1. Reflect △PQR across the line [Choose...]. 2. Then translate the resulting image [Choose...] units to the right. **Options:** - In the first dropdown, potential options might include lines of reflection such as the x-axis, y-axis, or other specific lines. - In the second dropdown, the options include how many units to translate the triangle horizontally. This activity focuses on understanding congruent transformations through reflection and translation on a coordinate plane. In the graph, \( \triangle PQR \cong \triangle STU \). **Graph Description:** - The graph is a standard coordinate system with the x-axis and y-axis intersecting at the origin \((0,0)\). - Triangle \( PQR \) is plotted with the points approximately at \( P(-5, 1) \), \( Q(-2, 6) \), and \( R(0, 3) \). - Triangle \( STU \) is plotted with points approximately at \( S(2, -1) \), \( T(5, -6) \), and \( U(6, -3) \). **Instructions:** Choose the words from the box to correctly complete the composition of rigid motions that maps \( \triangle PQR \) to \( \triangle STU \). Options: 1. Reflect \( \triangle PQR \) across the line \( \text{Choose...} \). 2. Then translate the resulting image \( \text{Choose...} \) units to the right. Available Choices for Lines and Translation: - \( y = 0 \) - \( x = 0 \)

In the graph, △PQR ≅ △STU. **Graph Explanation:** The graph displays two triangles on a coordinate plane. Triangle PQR is positioned in the first quadrant with vertices at the following approximate coordinates: P(-4, 2), Q(-2, 6), and R(-1, 3). Triangle STU is in the fourth quadrant, featuring vertices at S(1, -2), T(3, -6), and U(5, -3). The two triangles are congruent, meaning they have the same shape and size, but are positioned differently on the plane. **Instruction:** Choose the words that complete the statement to describe a composition of rigid motions that maps △PQR to △STU. 1. Reflect △PQR across the line [Choose...]. 2. Then translate the resulting image [Choose...] units to the right. **Options:** - In the first dropdown, potential options might include lines of reflection such as the x-axis, y-axis, or other specific lines. - In the second dropdown, the options include how many units to translate the triangle horizontally. This activity focuses on understanding congruent transformations through reflection and translation on a coordinate plane. In the graph, \( \triangle PQR \cong \triangle STU \). **Graph Description:** - The graph is a standard coordinate system with the x-axis and y-axis intersecting at the origin \((0,0)\). - Triangle \( PQR \) is plotted with the points approximately at \( P(-5, 1) \), \( Q(-2, 6) \), and \( R(0, 3) \). - Triangle \( STU \) is plotted with points approximately at \( S(2, -1) \), \( T(5, -6) \), and \( U(6, -3) \). **Instructions:** Choose the words from the box to correctly complete the composition of rigid motions that maps \( \triangle PQR \) to \( \triangle STU \). Options: 1. Reflect \( \triangle PQR \) across the line \( \text{Choose...} \). 2. Then translate the resulting image \( \text{Choose...} \) units to the right. Available Choices for Lines and Translation: - \( y = 0 \) - \( x = 0 \)

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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In the graph, △PQR ≅ △STU. **Graph Explanation:** The graph displays two triangles on a coordinate plane. Triangle PQR is positioned in the first quadrant with vertices at the following approximate coordinates: P(-4, 2), Q(-2, 6), and R(-1, 3). Triangle STU is in the fourth quadrant, featuring vertices at S(1, -2), T(3, -6), and U(5, -3). The two triangles are congruent, meaning they have the same shape and size, but are positioned differently on the plane. **Instruction:** Choose the words that complete the statement to describe a composition of rigid motions that maps △PQR to △STU. 1. Reflect △PQR across the line [Choose...]. 2. Then translate the resulting image [Choose...] units to the right. **Options:** - In the first dropdown, potential options might include lines of reflection such as the x-axis, y-axis, or other specific lines. - In the second dropdown, the options include how many units to translate the triangle horizontally. This activity focuses on understanding congruent transformations through reflection and translation on a coordinate plane.
Transcribed Image Text:In the graph, △PQR ≅ △STU. **Graph Explanation:** The graph displays two triangles on a coordinate plane. Triangle PQR is positioned in the first quadrant with vertices at the following approximate coordinates: P(-4, 2), Q(-2, 6), and R(-1, 3). Triangle STU is in the fourth quadrant, featuring vertices at S(1, -2), T(3, -6), and U(5, -3). The two triangles are congruent, meaning they have the same shape and size, but are positioned differently on the plane. **Instruction:** Choose the words that complete the statement to describe a composition of rigid motions that maps △PQR to △STU. 1. Reflect △PQR across the line [Choose...]. 2. Then translate the resulting image [Choose...] units to the right. **Options:** - In the first dropdown, potential options might include lines of reflection such as the x-axis, y-axis, or other specific lines. - In the second dropdown, the options include how many units to translate the triangle horizontally. This activity focuses on understanding congruent transformations through reflection and translation on a coordinate plane.
In the graph, \( \triangle PQR \cong \triangle STU \). **Graph Description:** - The graph is a standard coordinate system with the x-axis and y-axis intersecting at the origin \((0,0)\). - Triangle \( PQR \) is plotted with the points approximately at \( P(-5, 1) \), \( Q(-2, 6) \), and \( R(0, 3) \). - Triangle \( STU \) is plotted with points approximately at \( S(2, -1) \), \( T(5, -6) \), and \( U(6, -3) \). **Instructions:** Choose the words from the box to correctly complete the composition of rigid motions that maps \( \triangle PQR \) to \( \triangle STU \). Options: 1. Reflect \( \triangle PQR \) across the line \( \text{Choose...} \). 2. Then translate the resulting image \( \text{Choose...} \) units to the right. Available Choices for Lines and Translation: - \( y = 0 \) - \( x = 0 \)
Transcribed Image Text:In the graph, \( \triangle PQR \cong \triangle STU \). **Graph Description:** - The graph is a standard coordinate system with the x-axis and y-axis intersecting at the origin \((0,0)\). - Triangle \( PQR \) is plotted with the points approximately at \( P(-5, 1) \), \( Q(-2, 6) \), and \( R(0, 3) \). - Triangle \( STU \) is plotted with points approximately at \( S(2, -1) \), \( T(5, -6) \), and \( U(6, -3) \). **Instructions:** Choose the words from the box to correctly complete the composition of rigid motions that maps \( \triangle PQR \) to \( \triangle STU \). Options: 1. Reflect \( \triangle PQR \) across the line \( \text{Choose...} \). 2. Then translate the resulting image \( \text{Choose...} \) units to the right. Available Choices for Lines and Translation: - \( y = 0 \) - \( x = 0 \)
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