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Circle O and circle P are congruent. Given that arc AB is congruent to arc DE, what can you conclude from the diagram?

Circle O and circle P are congruent. Given that arc AB is congruent to arc DE, what-example-1
User Tdaff
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1 Answer

5 votes

Answer:

Central angle is equal in both circles

And the two triangles inscribed in circle is congruent.

Explanation:

We have been given the two circles which are congruent O and P.

Ab is congruent to DE

So, the central angle of two circles will be equal circles being congruent.

And the two triangles AOB and EPD are congruent

Radius of the congruent circle is equal

Hence, OB=PD

AB=DE

And ∠BOA=∠DPE

By SAS property ΔAOB ≅ΔEPD


User Janice Zhong
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