Question

Prove that the opposite angles of a parallelogram are congruent

Answer 1

@radar

Answer 2

@ganeshie8

Answer 3

Do you have any known characteristics of a parallelogram?

Answer 4

In particular, do you know that the opposite sides are congruent?

Answer 5

Yeah

Answer 6

There are no know anything lol

Answer 7

OK, we can do it in three steps. Construct a diagonal. Note that triangles formed are congruent by SSS. Note that corresponding angles are congruent, i.e., the angles opposite one another are congruent.

Answer 8

Those are it? lol

Answer 9

If all we know is that the opposite sides are parallel, extend those segments into parallel lines. Use the rules for the intersection of parallel lines to show the angles congruent.

Answer 10

Do math every day.

Answer 11

haha