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

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

taylor1048 · Answer

attachment

mathstudent55 · Answer

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mathstudent55 · Answer

Let's look at the given info and mark it in the figure.
First, we have PO = QO
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mathstudent55 · Answer

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

mathstudent55 · Answer

Now we use the next piece of given info.
Angles 1 and 2 are congruent.
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mathstudent55 · Answer

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

taylor1048 · Answer

They are congruent

mathstudent55 · Answer

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