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In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP. P R Based on the assumption that quadrilateral PQRS is a rectangle, determine whether each statement below is true or false. Select True or False for each Statement True False Triangles PQR and RSP are congruent because they satisfy the side-side-side (SSS) triangle congruence criterion. Triangles PQR and RSP are congruent because they satisfy the side-angle-side (SAS) triangle congruence criterion. Triangles PQR and RSP are congruent because there is a rotation that carries one triangle onto the other. Triangles PQR and RSP are congruent because there is a translation that carries one triangle onto the other.

In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP. P R Based on the assumption that quadrilateral PQRS is a rectangle, determine whether each statement below is true or false. Select True or False for each Statement True False Triangles PQR and RSP are congruent because they satisfy the side-side-side (SSS) triangle congruence criterion. Triangles PQR and RSP are congruent because they satisfy the side-angle-side (SAS) triangle congruence criterion. Triangles PQR and RSP are congruent because there is a rotation that carries one triangle onto the other. Triangles PQR and RSP are congruent because there is a translation that carries one triangle onto the other.

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.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP. P Based on the assumption that quadrilateral PQRS is a rectangle, determine whether each statement below is true or false. Select True or False for each statement. Statement True False Triangles PQR and RSP are congruent because they satisfy the side-side-side (SSS) triangle congruence criterion. Triangles PQR and RSP are congruent because they satisfy the side-angle-side (SAS) triangle congruence criterion. Triangles PQR and RSP are congruent because there is a rotation that carries one triangle onto the other. Triangles PQR and RSP are congruent because there is a translation that carries one triangle onto the other.
Transcribed Image Text:In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP. P Based on the assumption that quadrilateral PQRS is a rectangle, determine whether each statement below is true or false. Select True or False for each statement. Statement True False Triangles PQR and RSP are congruent because they satisfy the side-side-side (SSS) triangle congruence criterion. Triangles PQR and RSP are congruent because they satisfy the side-angle-side (SAS) triangle congruence criterion. Triangles PQR and RSP are congruent because there is a rotation that carries one triangle onto the other. Triangles PQR and RSP are congruent because there is a translation that carries one triangle onto the other.
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