Question

Given that PHRB ~ EKGT, what is m < G?

A.

48°








B.

55°








C.

121°








D.

136°

can someone explain how to do this please?

Answer 1

Hello! :) Well, we know that the figures are congruent (that's the ~ symbol) so that means they are the same shape. The trick is trying to figure out how you can rotate the bottom shape to "match" the upper shape. Is that the part that's tripping you up?

Answer 2

I think so. I looked at it, and thought it was B, but im not quite sure

Answer 3

You are very close! Let me draw a picture to help you out.

Answer 4

Thank you :)

Answer 5

Actually before I do that, I'll give you a little secret... usually when math textbooks write PHRB ~ EKGT they mean that P matches with E, H matches with K, R matches with G, and B matches with T. They write the symbol in a way that tells you how to match the shape. They are trying to help (a big surprise!) :)

Answer 6

We see that by spinning the bottom shape around to the left, the shapes appear to match!

Answer 7

Wow, never knew that! Thanks! & A is right, right? haha

Answer 8

You are 100% correct!

Answer 9

nicely done

Answer 10

Thanks for helping, means a lot :)

Answer 11

not a problem, good luck with your studies!