Question

A conjecture and the flowchart proof used to prove the conjecture are shown.

Answer 1

The required proof of parallelogram is given below,

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. The opposing or confronting sides and the opposing angles in a parallelogram are of equal length.

For a parallelogram, opposite sides are always equal and parallel.
So for the given parallelogram, we get AD = BC and AD and BC are parallel.

AD and BC is parallel and DC is common side, therefore, $\angle 1 = \angle 3$ ......(1)

Given $\angle 3 = \angle 2$  .......(2)

Therefore, from condition (1) and (2), we get

$\angle 1 = \angle 2$

If $\angle 1 = \angle 2$ then DC bisects the angle $\angle ADE$. [Proved]

To learn more about parallelogram from the given link

brainly.com/question/970600

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