Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45.

Statement Reason
1. Segment ST is parallel to segment RQ Given
2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle RPQ Reflexive property of angles.
4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate
5. ? Corresponding sides of similar triangles are in proportion.

Question

Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45. 


Statement	Reason
1.	Segment ST is parallel to segment RQ	Given
2.	Angle QRS is congruent to angle TSP	Corresponding angles formed by parallel lines and their transversal are congruent.
3.	Angle SPT is congruent to angle RPQ	Reflexive property of angles.
4.	Triangle SPT is similar to triangle RPQ	Angle-Angle Similarity Postulate
5.	?	Corresponding sides of similar triangles are in proportion.

anonymous · Answer

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