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nisloxe orlA agate woy nicloxs bas 3) Find one pair of congruent triangles in the figure below and explain why they are congruent. A NOTE: Congruency marks show that AB = AE and /BAC=LEAD D B.

nisloxe orlA agate woy nicloxs bas 3) Find one pair of congruent triangles in the figure below and explain why they are congruent. A NOTE: Congruency marks show that AB = AE and /BAC=LEAD D B.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question:** 3) Find one pair of congruent triangles in the figure below and explain why they are congruent. **Diagram Explanation:** The diagram shows a triangle with vertex A at the top, with two congruent triangles formed by segments from B to E. The sides AB and AE are shown to be congruent, as indicated by matching tick marks on the lines. **Congruency Note:** The note indicates that: - \( AB \cong AE \) - \( \angle BAC \cong \angle EAD \) These are shown by the congruency marks on the lines and angles. **Conclusion:** The triangles \( \triangle ABC \) and \( \triangle EAD \) are congruent by the Side-Angle-Side (SAS) postulate, since they have two sides equal (AB = AE and the common side AC = AD) and the included angle (\(\angle BAC = \angle EAD\)) is congruent.
Transcribed Image Text:**Question:** 3) Find one pair of congruent triangles in the figure below and explain why they are congruent. **Diagram Explanation:** The diagram shows a triangle with vertex A at the top, with two congruent triangles formed by segments from B to E. The sides AB and AE are shown to be congruent, as indicated by matching tick marks on the lines. **Congruency Note:** The note indicates that: - \( AB \cong AE \) - \( \angle BAC \cong \angle EAD \) These are shown by the congruency marks on the lines and angles. **Conclusion:** The triangles \( \triangle ABC \) and \( \triangle EAD \) are congruent by the Side-Angle-Side (SAS) postulate, since they have two sides equal (AB = AE and the common side AC = AD) and the included angle (\(\angle BAC = \angle EAD\)) is congruent.
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