Select the correct answer from each drop-down menu. In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

StatementReason
and bisect each other. given
and definition of bisection
m∠AEB = m∠CED
SAS criterion
∠ACD ≅ ∠CABCorresponding angles of congruent triangles are congruent.
converse of Alternate Interior Angles Theorem
m∠BEC = m∠AEDVertical Angles Theorem
SAS criterion for congruence

Quadrilateral ABCD is a parallelogram. definition of a parallelogram

answer: a

step-by-step explanation:

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc