Question

angles. In the figure, B is the midpoint of AE and CD. a) Which are the equal sides in both the triangles? b) Write one pair of equal angles. b) Are the triangles equal? Why? c) Prove that AC and DE are parallel



(PLEASE ANSWER) correct. (IT'S URGENT)​

Answer 1

Answer:

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

In triangles AOC and BOD, we have

AO = BO (O, the midpoint of AB);

∠AOC=∠BOD, (vertically opposite angles);

CO=OD, (O, the midpoint of CD)

So by SAS postulate we have

△AOC≅△BOD.

Hence, AC = BD, as they are corresponding parts of congruent triangles

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Answer 2

In triangles AOC and BOD, we have

AO = BO (O, the midpoint of AB);

∠AOC=∠BOD, (vertically opposite angles);

CO=OD, (O, the midpoint of CD)

So by SAS postulate we have

∆AOC ≅ ∆BOD.

Hence, AC = BD, as they are corresponding parts of congruent triangles.