Reason 3: By Angle-Side-Angle (ASA) congruence, since angle Q is congruent to angle T, segment Q R is congruent to segment T R, and angle P R Q is congruent to angle S R T.
Reason 4: By definition of congruent triangles, corresponding sides of congruent triangles are congruent. Therefore, segment P R is congruent to segment S R.
Therefore, the proof is complete.
Given: Q T and %0D%0AProve: %0D%0A%0D%0A%0D%0AThe figure shows Triangles Q P R and S T R with common vertex of R formed by the intersection of segments Q T and P S.%0D%0A%0D%0AProof:%0D%0AStatement 1: angle Q is congruent to angle T and segment Q R is congruent to segment T R%0D%0AReason 1: Given%0D%0AStatement 2: angle P R Q is congruent to angle S R T%0D%0AReason 2: vertical angles are congruent%0D%0AStatement 3: Triangle P R Q is congruent to triangle S R T%0D%0AReason 3: Question Mark%0D%0AStatement 4: Segment P R is congruent to Segment S R%0D%0AReason 4: Question Mark%0D%0A%0D%0A(2 points)
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