Your teacher will grade your responses to questions 6–9 to ensure that you receive proper credit for your answers.

Question

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)

Answer 1

Reason 3: Side-Angle-Side (SAS) congruence.

Reason 4: Corresponding sides of congruent triangles are congruent (CSC).