Question

please help file attached ill medal and fan about proving theorems

Answer 1

So what exactly are you suppose to do?

Answer 2

prove that one triangle is similar to the other using Pythagorean Theorem by Similarity @nikato

Answer 3

Hello.

Answer 4

Hi

Answer 5

Let's start with finding the angle <AQB

Answer 6

Can you find the slope of line AA'?

Answer 7

well its over 3 and up 3

Answer 8

So the slope is 1, right?

Answer 9

yes

Answer 10

How about for BQ?

Answer 11

wait where is Q?

Answer 12

Wait. I meant C. Sorry.

Answer 13

I think its 1?

Answer 14

Do you agree that the slope of BC is same as the slope between B and (3,0) since all 3 points are colinear?

Answer 15

yes I could agree with that

Answer 16

So, what is the slope of B and (3,0)?

Answer 17

1?

Answer 18

From B to (3,0), you have to go DOWN 3 and 3 right.

Answer 19

So, what is the slope between B and (3,0)?

Answer 20

You would get -1.

Answer 21

Then, you know that the slope of BC is -1, right?

Answer 22

oh ok sp yeah that makes sense

Answer 23

Then, we can say that BC and AA' are perpendicular since their slopes are opposite reciprocal of each other, right?

Answer 24

yes that looks correct

Answer 25

Then, what angle is <AQB?

Answer 26

45 degrees?

Answer 27

Perpendicular lines make what angle?

Answer 28

oh yeah. 90 degrees

Answer 29

Yep. Now, there was a similarity theorem called AA, right?

Answer 30

Do you know how to apply AA here?

Answer 31

woops sorry

Answer 32

it reosted

Answer 33

and u well we know there is a right angle in each triangle

Answer 34

Correct.

Answer 35

and when you add all the angles of a triangle are added up they have to equal 180 degrees so it would be correct to assume using side lengths that the other two angles are also the same right?

Answer 36

yes!

Answer 37

That is basically how you prove that all 3 triangles are similar.

Answer 38

okay thank you so much!

Answer 39

Yep!

Answer 40

:)