Question

Which statement accurately describes the two congruent triangles? Triangles B A E and B C D where point B is an apex of both triangles. Line segments A B and B C are the same length, line segments C D and A E are the same length, and line segments B E and B D are the same length. Angles A E B and B D C have the same measurement, angles D C B and B A E have the same measurement, and angles A B E and C B D have the same measurement. Question 1 options: triangle A B E is congruent to triangle B C D triangle E A B is congruent to triangle D B C triangle A B E is congruent to triangle C B D triangle A E B is congruent to triangle C B D

Answer 1

Triangle ABE is congruent to triangle CBD.

Explanation:

Given two congruent triangles BAE and BCD where B is an apex of both triangles.

Given AB=BC, CD=AE, BE=BD

& also ∠AEB=∠BDC, ∠DCB=∠BAE, ∠ABE=∠CBD

By CPCT i.e. Corresponding parts of corresponding triangles

Correspondimg sides and angles area in the same position or spot in two different triangles.

Hence, Triangle ABE is congruent to triangle CBD.