Question

http://i.imgur.com/2eyaxco.jpg

Answer 1

tell me your thoughts on it

Answer 2

I have no clue honestly, these are the only questions that blew my mind out of 35 questions.

Answer 3

ok one sec while I draw on the drawing

Answer 4

ok to start things off, do you agree with what I've wrote on this attached image?

Answer 5

Yes

Answer 6

and do you agree with this next statement? See attached

Answer 7

Yes, they're all 90 degrees

Answer 8

so that means

triangle NHM is a right triangle
triangle OHP is a right triangle

agreed?

Answer 9

Yes

Answer 10

ok so using these facts listed below

* triangle NHM is a right triangle
* triangle OHP is a right triangle
* NM = OP (given)
* MH = HP (shown in attachment 7-1.jpg)

we can conclude that triangle NHM = triangle OHP by the hypotenuse leg theorem

HL theorem for short

Answer 11

NM = OP are the pairs of hypotenuses (the H)
MH = HP are the pairs of legs (the L)

this HL theorem only works for right triangles which is why we must first determine if the triangles are right triangles or not

Answer 12

Thank you!

Answer 13

you're welcome