As shown in the figure, in △ ABC, ab = AC, point D is the midpoint of DC, and point E is on ad. find out congruent triangles in the figure and explain why they are congruent Yeah

As shown in the figure, in △ ABC, ab = AC, point D is the midpoint of DC, and point E is on ad. find out congruent triangles in the figure and explain why they are congruent Yeah

There are three pairs of congruent triangles
The first is Abe ≌ ace
BDE≌CDE
ABD≌ACD
because
AB = AC, point D is the midpoint of DC
So ad is vertical to BC, so ad is the vertical bisector of BC
So abd ≌ ACD
Point E is on AD,
So there must be a point on the vertical bisector of be = CE whose distance to both sides is equal
So Abe ≌ ace, BDE ≌ CDE

As shown in the figure, in △ ABC, ab = AC, D is the midpoint of BC, and E is on ad. find out congruent triangles in the figure and explain why they are congruent

The congruent triangles in the graph are: △ abd ≌ △ ACD, △ Abe ≌ △ ace, △ BDE ≌ △ CDE. Reasons: ∵ D is the midpoint of BC, ≌ BD = DC, ab = AC, ad = ad ≌ △ abd ≌ △ ACD (SSS);