The proof that is shown. Select the answer that best completes the proof.

Given: ΔMNQ is isosceles with base , and and bisect each other at S.
Prove:

Square M N Q R is shown with point S in the middle. Lines are drawn from each point of the square to point S to form 4 triangles.

We know that ΔMNQ is isosceles with base . So, by the definition of isosceles triangle. The base angles of the isosceles triangle, and , are congruent by the isosceles triangle theorem. It is also given that and bisect each other at S. Segments _______ are therefore congruent by the definition of bisector. Thus, by SAS.

NS and QS
NS and RS
MS and RS
MS and QS

Respuesta :

Answer: MS & QS

Explanation: I just took the unit test on edg. I hope this helps! :)

Segments MS and QS are therefore congruent by the definition of bisector.

What is the angle about?

Given that ΔMNQ ≅ ΔQNS  

To find segment:

Note that segment are congruent by the definition of bisector.

Because segment NR and  segment NQ bisect each other at S

Then MS = QS

Therefore, the Segments MS and QS are therefore congruent by the definition of bisector.

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