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Based on the information marked in the diagram, MNP and QRS must be congruent. True or False. ty for the help! <3

Based on the information marked in the diagram, MNP and QRS must be congruent. True-example-1
User Hisham
by
4.6k points

2 Answers

2 votes

Answer:

True (just did it on a pex)

Explanation:

User Deddu
by
5.6k points
4 votes

Answer:

True

Explanation:

The hypotenuse angle theorem, also known as the HA theorem, states that "If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent."

In triangles MNP and QRS:

  • NP=RS (hypotenuses);
  • ∠P=∠S (acute angles).

Then, triangles MNP and PRS are congruent by HA theorem.

True

User Meiscooldude
by
5.0k points
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