in the figure below, ABC is a triangle in which AB=AC X and Y are points on AB and - Maths -

Question

in the figure below, ABC is a triangle in which AB=AC X and Y
are points on AB and AC such that AX=AY prove that triangle ABY
congruent to triangle ACX

Ajanta Trivedi · Accepted Answer

given: in the triangle ABC, AB = AC and AX = AY

TPT: $Δ A B Y ≅ Δ A C X$

proof:

in the triangles $Δ A B Y a n d Δ A C X$

AX = AY and

AC = AB

∠A is common.

therefore by SAS congruency triangles are congruent.

hope this helps you.

cheers!!

in the figure below, ABC is a triangle in which AB=AC. X and Y are points on AB and AC such that AX=AY. prove that triangle ABY congruent to triangle ACX