Question

Match the numbered statement below with its reason to prove that the sides of the flagare parallelGiven OP RS P || ASProve OR || SP1. OPRS[Choose2. OP || RS[Choose)3, ZOPRU ZSRP[Choose)4. PRRPChoose5. A OPR ASRPChoose6. ZORPZSPRChoose7. OR|| EPChoose

Answer 1

we have that

Prove OR || SP

answer is option 6

If angle QRP= angle SPR

then

OR || SP -----> by alternate interior angles theorem

Option 1 -------> Given

Option 2 ----> Given

option 3 ----> alternate interior angles theorem

option 4 ----> reflexive property of congruence

option 5 ----> SAS congruence theorem

option 7 ----> converse of interior angle theorem