Question

Match the following reasons with the statements given.
Given:
11 years ago

Answer 1

AAS
Base ∠'s of isosceles triangle are =
Exterior sides in opposite rays
CPCTE
Given
Two ∠'s supplementary to equal ∠'s are =

Answer 2

@ByteMe
@_Michaeld22

Answer 3

Look at statement 1.
Do you find that information any where in the problem?

Answer 4

well i know that its Given

Answer 5

Ok, you have 1. Given.

Answer 6

Let's move on to 2. ∠5 = ∠6

Answer 7

Any idea of which of the choices it can be? (Given is already used.)

AAS Base ∠'s of isosceles triangle are =
Exterior sides in opposite rays
CPCTE
Two ∠'s supplementary to equal ∠'s are =

Answer 8

5.AAS

Answer 9

AAS is used to prove two triangles are congruent. This statement has not said anything about two triangles being congruent. This statement says two angles are congruent. You need a reason that says something about angles being congruent.

Answer 10

number 5. is AAS,right?

Answer 11

Correct.

Answer 12

What is the reason for 2. ?

Answer 13

Exterior sides in opposite rays?

Answer 14

This is what we have so far:

1. ∠R = ∠Q, AS = AT 1. Given
2. ∠5 = ∠6
3. ∠4, ∠5 are supplementary
and ∠6, ∠7 are supplementary
4. ∠4 = ∠7
5. Triangle RAS congruent to Triangle QAT 5. AAS
6. RS = QT

Answer 15

No,
Let me draw a figure to help you with the reason for 2.

Answer 16

Base ∠'s of isosceles triangle are =?

Answer 17

Yes. Since triangle AST is isosceles with AS = AT, the base angles are congruent.

Answer 18

This is what we have so far:

1. ∠R = ∠Q, AS = AT 1. Given
2. ∠5 = ∠6 2. Base ∠'s of isosceles triangle are =
3. ∠4, ∠5 are supplementary
and ∠6, ∠7 are supplementary
4. ∠4 = ∠7
5. Triangle RAS congruent to Triangle QAT 5. AAS
6. RS = QT

Answer 19

Now we need a reason for 3.

Answer 20

3.Two ∠'s supplementary to equal ∠'s are =,right?

Answer 21

No. That reason is used when angles are already known to be supplementary. Once you have supplementary angles, you can use that reason. Here we are trying to show that angles are supplementary.

Answer 22

so its CPCTE?

Answer 23

Here's another figure to help you:

Answer 24

No, not CPCTE. That can only be used after you have proved two triangles congruent.

Answer 25

Exterior sides in opposite rays

Answer 26

right?

Answer 27

@mathstudent55

Answer 28

Correct. That's the reason to 3.

Answer 29

4.Two ∠'s supplementary to equal ∠'s are =

Answer 30

Correct. Now 6 should be easy.

This is what we have so far:
1. ∠R = ∠Q, AS = AT 1. Given
2. ∠5 = ∠6 2. Base ∠'s of isosceles triangle are =
3. ∠4, ∠5 are supplementary 3. Exterior sides in opposite rays
and ∠6, ∠7 are supplementary
4. ∠4 = ∠7 4.Two ∠'s supplementary to equal ∠'s are =
5. Triangle RAS congruent to Triangle QAT 5. AAS
6. RS = QT 6.

Answer 31

CPCTE

Answer 32

thnx:)

Answer 33

Right.

Answer 34

Yw