can someone please help me with this proof? i have no idea how to do it and i have a test tomorrow! thank you!

Question

anonymous · Answer

attachment

nikato · Answer

Look at triangle MRX and PRX. Can u prove they r congruent?

anonymous · Answer

sss

nikato · Answer

Correct. And now what r u say about <1 and 2

anonymous · Answer

thats what i didnt know would it be cpctc?

nikato · Answer

Yes. And now can u prove triangle MRS=PRS

anonymous · Answer

oh its cpctc?

nikato · Answer

No, u were right. CPCTC

anonymous · Answer

so triangle MRS and PRS because of SAS

nikato · Answer

Correct. And now, what about angle MSR and PSR

anonymous · Answer

ohhhh hyp leg?

nikato · Answer

No. I was looking for those 2 angles would be congruent by CPCTC

anonymous · Answer

oh right

nikato · Answer

And so if these two angles are supplementary and congruent, then they r what kind of angles

anonymous · Answer

right angles but how do you write the statement for supplementary angles? i never understood that

nikato · Answer

Well, u can use linear pairs

nikato · Answer

U can say those two angles are linear pairs and then say they r supplementary. The reasons for both is the definition of each of them

anonymous · Answer

sorry my computer died

anonymous · Answer

ok and whats the last step then?

nikato · Answer

What ur proving and by definition of perpendicular

anonymous · Answer

oh okay

anonymous · Answer

thanks so much

nikato · Answer

By def. of perpendicular, becuz when MP and RS intersect, they form right angles, which also means those two lines are perpendicular to each other

anonymous · Answer

thank you!

nikato · Answer

Ur welcome