The proof that is shown.
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