The isosceles triangle theorem says "If two sides of a triangle are congruent, then the angles opposite those sides are congruent."
If you are using this figure to prove the isosceles triangle theorem, which of
the following would be the best strategy?
S

Draw QS so that S is the midpoint of PR, then prove ΔPQS is congruent to ΔRQS using SSS.

Step-by-step explanation:

Explanation,

(For Proper Question And Diagram Please Find In attachment)

Draw QS, so that S is the midpoint of PR .

Solution,

Now, We know that PS = SR ( S is Midpoint of PR)QS = QS (Common Side) and PQ=QR (given Isosceles Triangle)then triangles are congruent and thus ∠QPS equals to ∠QRS.Thus, the triangle PQR is then the isosceles Triangle.

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