Question

Use the triangles shown to answer questions 1–3.

1. Name one pair of congruent angles. (1 point)
∠PQR and ∠VST
∠PRQ and ∠SVT
∠RQP and ∠TVS
∠QPR and ∠STV
2. Name one pair of congruent sides. (1 point)
Segments PR and SV
Segments QR and ST
Segments RP and TS
Segments PQ and VS
3. Which method shows that the two triangles are congruent? (1 point)
SSS
SAS
ASA
AAA

Answer 1

Here's how to tell if sides or angles are congruent:
If a side has a red line through it, and so does another side, the two sides are congruent. The same goes if it has two lines. Angles have curves instead.

Answer 2

thanks for tryying to hhelp but i dont get it

Answer 3

See my triangles? The sides that have the same number of lines through them are congruent.

Answer 4

ok

Answer 5

Now I just drew a curved line in two of the angles. That means the angles are congruent.

Answer 6

so how can i find the answers?

Answer 7

Look for sides that have the same number of red lines through them, just like in my example. They are congruent. Look for angles that have a curved line as shown in my example, that means they are congruent. You may also want to take a look at this:
http://www.mathwarehouse.com/geometry/congruent_triangles/side-angle-side-postulate.php

Answer 8

i thought this website help give you the answer, but ok

Answer 9

I don't want to just give you the answer, you won't learn that way.

Answer 10

iknow but i dont even get what you are saying

Answer 11

Do you know what congruent means?

Answer 12

yes

Answer 13

See these two lines? They are congruent because of the really small lines crossing them. The two small lines on each one means that they are the same length, or congruent. Do you understand that?

Answer 14

Well, there's only one small line across each one, but do you get the idea?

Answer 15

yes i understand

Answer 16

The same goes with angles. The curve I drew on each angle, means each angle has the same measure. In other words, they are congruent. Good?

Answer 17

yes

Answer 18

can you do number one with me>? and then ill try to do it on my own?

Answer 19

Okay, which angles have the red curve on them?

Answer 20

Ohhh....do you not understand the angle notation?

Answer 21

the angle rotation?

Answer 22

Angle NOtation. As in, which angle is which.

Answer 23

no i dont no that

Answer 24

Okay, see the top triangle? Look at where the red curve is. That is angle QRP. We call it that because it is in the middle of points Q and P. Point R is right at the angle. Therefore, it is angle QRP.

Answer 25

ok now i get it

Answer 26

Now try to answer the questions! I think you got it :)

Answer 27

QRP AND STV?

Answer 28

You got it half right. QRP is correct, but Point T is not "right at" the angle.

Answer 29

aww man

Answer 30

What point is "right at" the red curve?

Answer 31

im getting confused now is it VST

Answer 32

No, it would be SVT. Point V is the closest to the angle with the red curve. Therefore, it is the middle point. You could also write it as TVS. It doesn't matter as long as V is in the middle. In fact, some people would just write it as angle V.

Answer 33

Do you get it now?