Reason 3: The two triangles have two pairs of congruent angles and a pair of congruent sides (angle-angle-side congruence).
Reason 4: Corresponding parts of congruent triangles are congruent (CPCTC).
Short Answer
Your teacher will grade your responses to questions 6–9 to ensure that you receive proper credit for your answers.
Supply the missing reasons to complete the proof.
Given: angleQ congruent to angleT and Line segment Q Rcongruent to segment T R
Prove: Segment P R is congruent to Segment S R
An incomplete 2 column proof is shown with a figure.
The 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.
Proof:
Statement 1: angle Q is congruent to angle T and segment Q R is congruent to segment T R
Reason 1: Given
Statement 2: angle P R Q is congruent to angle S R T
Reason 2: vertical angles are congruent
Statement 3: Triangle P R Q is congruent to triangle S R T
Reason 3: Question Mark
Statement 4: Segment P R is congruent to Segment S R
Reason 4: Question Mark
(2 points)
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