Question

Prove ABC~EDC ?

AA similarity theorem
ASA similarity theorem
AAS similarity theorem
SAS similarity theorem

Answer 1

AA similarity theorem

Explanation:

we know that

AA (Angle-Angle) Similarity states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem