Question

Finish Proof = EC, AB = DC
Prove: Angle A = Angel D

1. Given
2.

Working A

Answer 1

working annalytically I cam up with two more steps

NOTE: These are not the actual numbers in the proof.

9. (I think) Triangle ABE is congruent to triangle DCE by SAS
10. Angle A = Angle D because of CPCTE

I am having trouble with the other steps in the proof :(

Answer 2

What exactly is the given? What does "= EC" mean? are you missing something there?

Answer 3

EC is the line drawn. In the picture you should see it

Answer 4

The middle triangel inbe

Answer 5

tween the other two triangles

Answer 6

Sorry just looked at it it is supposed to be

Given: EB = EC, AB = DC
Prove: Angle A = Angle D

Answer 7

Ok, you were missing EB above. This is better.

Answer 8

Because EB = EC, <EBC is congr to <ECB

Answer 9

<EBA is supp to <EBC, and <ECD is supp to <ECB

Answer 10

Since we already stated that <EBC is congr to <ECB, <EBA is congr to <ECD

Answer 11

Now through SAS, triangles EBA and ECD are congr
and by CPCTC angls A and D are congr

Answer 12

Statements:
1) EB = EC, AB = DC
2) <EBC is congruent to <ECB, and <EBA is congruent to < ECD
3) <EBA is the supplement to <EBC, and <ECD is the supplement to <ECB
4) Triangles EBA and ECD are congruent
5) <A and <D are congruent

Reasons:
1) Given
2) ??
3) Def of supplementary angles
4) SAS
5) CPCTE

Answer 13

Reason 2. In a triangle the angles opposite congr sides are congruent.
You need another step between 3 and 4.

Answer 14

In step 2, take out ", and <EBA is congruent to < ECD"

Answer 15

Statements:
1) EB = EC, AB = DC
2) <EBC is congruent to <ECB
3) <EBA is the supplement to <EBC, and <ECD is the supplement to <ECB
4)
5) Triangles EBA and ECD are congruent
6) <A and <D are congruent

Reasons:
1) Given
2) In a triangle, angles opposite congruent sides are congruent
3) Def of supplementary angles
4)
5) SAS
6) CPCTC

Answer 16

Statement 4 is <EBA is congruent to < ECD
Reason 4 is If two angles are supplementary to two congruent angles, they are congruent.

Answer 17

1) EB = EC, AB = DC
2) <EBC is congruent to <ECB
3) <EBA is the supplement to <EBC, and <ECD is the supplement to <ECB
4) <EBA is congruent to < ECD
5) Triangles EBA and ECD are congruent
6) <A and <D are congruent

Reasons:
1) Given
2) . In a triangle the angles opposite congr sides are congruent
3) Def of supplementary angles
4)
5) SAS
6) CPCTE

Answer 18

Why do you write CPCTE with E at end? What does CPCTE stand for?

Answer 19

CPCTE stand for Corresponding parts of congruent triangles are equal

Answer 20

I write CPCTC bacause it's "corresponding parts of congruent triangles are congruent"

Answer 21

It means the same thing in my class it was the way I was taught in class

Answer 22

ok, then it's fine

Answer 23

Did you get that reason 4? That's all that's missing in the last version of the proof you wrote.

Answer 24

yep I hit post before reading that. Thks for the help :)

Answer 25

wlcm