I need the answer with explanation. please. **Problem: Congruence in Triangles**Suppose \( \angle C \cong \angle B \), \( \angle D \cong \angle A \), \( AE \cong BE \), and \( CE \cong DE \). Does that prove that the triangles are congruent? Justify your answer.### Diagram Description:The diagram shows two triangles, \( \triangle CED \) and \( \triangle AEB \), that share a common vertex \( E \) and have bases \( CD \) and \( AB \) respectively, forming an "X" shape with the triangles inverted.### Answer Options:- **A.** Yes, the two triangles have congruent angles. So the sides and triangles are congruent.- **B.** No, the two triangles have congruent angles but not necessarily congruent sides with each other.- **C.** Yes, the two triangles have congruent angles and are both isosceles triangles.

Suppose ZC LB, ZD LA, AE BE and CE- DE Does that prove that the triangles are congruent? Justify answer. D. A. Yes, the two triangles have congruent angles. So the sides and triangles are congruent. B. No, the two triangles have congruent angles but not necessarily congruent sides with each other. C. Yes, the two triangles have congruent angles and are both isosceles triangles.

Suppose ZC LB, ZD LA, AE BE and CE- DE Does that prove that the triangles are congruent? Justify answer. D. A. Yes, the two triangles have congruent angles. So the sides and triangles are congruent. B. No, the two triangles have congruent angles but not necessarily congruent sides with each other. C. Yes, the two triangles have congruent angles and are both isosceles triangles.

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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