Question

Medal and Fan
Write a proof.
Given: PO=QO, Angle 1 is congruent to Angle 2
Prove: Angle A is congruent to Angle B

Answer 1

Let's look at the given info and mark it in the figure.
First, we have PO = QO

Answer 2

Notice that we have two triangles, POA and QOB.
So far we have two sides of the triangles are congruent, PO = BO.

Answer 3

Now we use the next piece of given info.
Angles 1 and 2 are congruent.

Answer 4

If angles 1 and 2 are congruent, what can you conclude about angles APO and BQO?

Answer 5

They are congruent

Answer 6

Correct. We can mark them as congruent in the figure.