Question

prove that traingle ACB and traingle DCE are congruent​

Answer 1

Answer:

yes ∆ACB and ∆DCE are congruent

Step-by-step explanation:

proof:-

AB=DE (Given)

angle B=angle E (Given)

C is common or midpoint (Given)

therefore ∆ACB is congruent to ∆DCE by ASA

(Angle,Side,Angle)

Answer 2

Step-by-step explanation:

GIVEN: angle B = angle E

to prove:- ∆ACB congruent ∆ DCE

proof:-

in ∆ACB and ∆ DCE

angle B= angle D (vertically..... angles)

but angle B= angle E (given)

so, angle D= angle E

similarly angle A= angle B

now , in ∆ACB and ∆ DCE

angle A = angle B ( proved above)

angle D = angle E (" " " " ")

angle c = angle c ( vertically opposite angles)

hence,

by AAA

∆ACB congruent ∆ DCE