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Given: Rectangle PQRS with diagonals PR and QS intersecting at point T.

Prove: PR QS

Proof:

1. PQRS is a rectangle. Given
2. PQRS is a parallelogram. A rectangle is a parallelogram.
3. QR SP. Opposite sides of a parallelogram are congruent.
4. RS SR. Reflexive property of congruence
5. mPSR = 90°
mQRS = 90°

Definition of rectangle
6. mPSR = mQRS
PSR QRS
Transitive property
7. PRS QSR
8. PR QS

Corresponding parts of congruent triangles are congruent.

Question

https://media.studyisland.com/pics/38798five.png 

Given: Rectangle PQRS with diagonals PR and QS intersecting at point T.

Prove: PR  QS

Proof:

1. PQRS is a rectangle.	Given
2. PQRS is a parallelogram.    	A rectangle is a parallelogram.
3. QR  SP.   	Opposite sides of a parallelogram are congruent.
4. RS  SR. 	Reflexive property of congruence
5.	mPSR = 90°
mQRS = 90°

Definition of rectangle
6. mPSR = mQRS
 PSR  QRS
	Transitive property
7. PRS  QSR	 
8. PR  QS	

Corresponding parts of congruent triangles are congruent.

anonymous · Answer

Which of the following reasons completes the proof?
ASA
SSS
AAS
SAS