Look at the figure shown below: P
25
S
12
Patricia is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 35:
Statement
Reason
1. Segment ST is parallel to segment QR. Given
2. Angle QRT is congruent to angle STP. Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR. Reflexive property of angles
4. Triangle SPT is similar to triangle QPR. Angle-Angle Similarity Postulate
5.
Corresponding sides of similar triangles are in proportion