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Choose the postulate that makes the triangles congruent. If they are not congruent, indicate.

Choose the postulate that makes the triangles congruent. If they are not congruent, indicate.

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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### Triangle Congruence Postulates #### Problem Statement: Choose the postulate that makes the triangles congruent. If they are not congruent, indicate. #### Diagram Analysis: There is a diagram of two triangles within a larger quadrilateral. The triangles are marked with red congruence marks: - Two sides in each triangle are marked with a single red line. - One side in each triangle is marked with double red lines. - The remaining side in each triangle is marked with triple red lines. These markings indicate that three pairs of sides are congruent between the two triangles. #### Answer Choices: - O SSS (Side-Side-Side) - O ASA (Angle-Side-Angle) - O SAS (Side-Angle-Side) - O not congruent ### Detailed Explanation: By observing the triangles, the given congruence marks align with the SSS (Side-Side-Side) postulate. According to the SSS postulate, if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Therefore, the correct answer is: - ☑️ SSS (Side-Side-Side)
Transcribed Image Text:### Triangle Congruence Postulates #### Problem Statement: Choose the postulate that makes the triangles congruent. If they are not congruent, indicate. #### Diagram Analysis: There is a diagram of two triangles within a larger quadrilateral. The triangles are marked with red congruence marks: - Two sides in each triangle are marked with a single red line. - One side in each triangle is marked with double red lines. - The remaining side in each triangle is marked with triple red lines. These markings indicate that three pairs of sides are congruent between the two triangles. #### Answer Choices: - O SSS (Side-Side-Side) - O ASA (Angle-Side-Angle) - O SAS (Side-Angle-Side) - O not congruent ### Detailed Explanation: By observing the triangles, the given congruence marks align with the SSS (Side-Side-Side) postulate. According to the SSS postulate, if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Therefore, the correct answer is: - ☑️ SSS (Side-Side-Side)
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