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The diagram shows triangle MNP. Which term describes point Q?

The diagram shows triangle MNP. Which term describes point Q?-example-1
User Faph
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2 Answers

5 votes

Answer:

the answer is incenter

Explanation:

took the apex quiz got it correct !

User Rsmoorthy
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4 votes

Answer:

(B) Incenter

Explanation:

From the given figure, it can be seen that PMN is a triangle where MQ is the angle bisector of ∠NMP, PQ is the angle bisector of∠NPM and NQ is the angle bisector of ∠MNP.

Also, It is equally distant from the three line segments forming the sides of the triangle. Thus, By the definition of incenter, Q can be named as the incedntre of the given triangle PMN.

Since, the centroid, circumcenter and orthocenter does not satisfy the conditions given in the figure, thus Q can not be considered as centroid, circumcenter and orthocenter.

Hence, option B is correct.

User Qwerty Qwerts
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