Question

ABCD is a parallelogram and AE bisects angle A. Prove that DE=BC

Answer 1

oy i checked it out but i dont get it and i used that first but i still dont get it need explanation

Answer 2

Given AE bis. ∠A, you conclude ∠BAE = ∠DAE

∠BAE = ∠AED ; Alternte Interior/ ‖ lines

∠D + ∠DAE + ∠AED are supplementary.
∠D+ ∠DAE + ∠BAE are supplementary

Therefore ∠BAE = ∠D

So now you know every angle in △AED is congruent, therefore △AED is equiangular, and therefore equilateral
why?

Answer 3

yes

Answer 4

ABCD is a parallelogram and AE bisects angle A. Prove that DE=BC

Answer 5

why is the length the same
?

Answer 6

An equilateral triangle is a triangle with all three sides of equal length

Answer 7

as u noe that line AD is equal to line BC.

Answer 8

@beomsu.c.59131 do u understand?

Answer 9

yes