Patricia is writing statements as shown 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 congruent to triangle QPR Angle-Angle Similarity Postulate
5. 28:40 = Corresponding sides of similar triangles are in proportion

Question

Patricia is writing statements as shown 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 congruent to triangle QPR	Angle-Angle Similarity Postulate
5.	28:40 =	Corresponding sides of similar triangles are in proportion

kayleahjb · Answer

Which of the following can she use to complete statement 5? (1 point)

 	
	x:15
	x:(x + 15)
	28:15
	28:(x + 15)

kayleahjb · Answer

@newtonson

anonymous · Answer

i can't understand the question, b'cos in reason there have point P but in question i can't see point p.

kayleahjb · Answer

https://jeffersoncommunityacademy.brainhoney.com/Resource/37320844,0/Assets/94538_55a90a19/image0024e8c7205.jpg

kayleahjb · Answer

@emmagrace231

emmagrace231 · Answer

Sorry. I don't know how to do this.

directrix · Answer

Triangle SPT is congruent to triangle QPR 

Corresponding sides of similar triangles are in proportion

PS : PQ = PT : PR

28 :40 =  x : (x + 15)

@KayleahJB