176k views
5 votes
Circle O and circle P are congruent. Given that AB = DE , what can you conclude from the diagram?

Circle O and circle P are congruent. Given that AB = DE , what can you conclude from-example-1
User Oneika
by
7.5k points

2 Answers

7 votes
Since the radius is the same, that means that OBA=PDE
User Tim Ernsberger
by
8.1k points
3 votes

Answer: We can conclude that,
\triangle OAB\cong \triangle PD E.

Step-by-step explanation: Since, If two circles are congruent then their radius is equal.

Therefore, we can say, OA=OB=PD=PE.

Since, in triangles OAB and PDE,

OA=PD,

OB=PE,

And, AB=DE ( given)

Therefore, by SSS postulate we can say,
\triangle OAB\cong \triangle PD E .

Note: we can also say by the diagram,
\angle AOB and
\angle PD E are congruent.



User Shawn De Wet
by
7.2k points

No related questions found