Question

PLEASE HELP

What are the missing reasons in the proof?
A. Substitution; converse of diagonals theorem
B. Sum of interior angles; converse of diagonals theorem
C. Sum of interior angles; converse of opposite angles theorem
D. Substitution; converse of opposite angles theorem

Answer 1

Are these converses true? The answer is yes. Each of these converses can be a way to show that a quadrilateral is a parallelogram. However, the Consecutive Angles Converse can be a bit tricky, considering you would have to show that each angle is supplementary to its neighbor

(∠A

and

∠B, ∠B

and

∠C, ∠C

and

∠D

, and

∠A

and

∠D)

. We will not use this converse.