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36. Write the triangle congruence criterion illustrated by each pair of triangles. а. b. C. 丰 丰 d. 丰

36. Write the triangle congruence criterion illustrated by each pair of triangles. а. b. C. 丰 丰 d. 丰

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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**Exercise 36: Write the Triangle Congruence Criterion Illustrated by Each Pair of Triangles** **a.** - **Diagrams:** Two triangles with two sides and the included angle marked as congruent. - **Explanation:** This illustrates the Side-Angle-Side (SAS) Criterion for triangle congruence, where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle. **b.** - **Diagrams:** Two triangles with two angles and the included side marked as congruent. - **Explanation:** This illustrates the Angle-Side-Angle (ASA) Criterion for triangle congruence, where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle. **c.** - **Diagrams:** Two triangles with all three sides marked as congruent. - **Explanation:** This illustrates the Side-Side-Side (SSS) Criterion for triangle congruence, where all three sides of one triangle are congruent to all three sides of another triangle. **d.** - **Diagrams:** Two triangles with two angles and a non-included side marked as congruent. - **Explanation:** This illustrates the Angle-Angle-Side (AAS) Criterion for triangle congruence, where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.
Transcribed Image Text:**Exercise 36: Write the Triangle Congruence Criterion Illustrated by Each Pair of Triangles** **a.** - **Diagrams:** Two triangles with two sides and the included angle marked as congruent. - **Explanation:** This illustrates the Side-Angle-Side (SAS) Criterion for triangle congruence, where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle. **b.** - **Diagrams:** Two triangles with two angles and the included side marked as congruent. - **Explanation:** This illustrates the Angle-Side-Angle (ASA) Criterion for triangle congruence, where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle. **c.** - **Diagrams:** Two triangles with all three sides marked as congruent. - **Explanation:** This illustrates the Side-Side-Side (SSS) Criterion for triangle congruence, where all three sides of one triangle are congruent to all three sides of another triangle. **d.** - **Diagrams:** Two triangles with two angles and a non-included side marked as congruent. - **Explanation:** This illustrates the Angle-Angle-Side (AAS) Criterion for triangle congruence, where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.
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