Question

State whether Triangle ABC and Triangle AED are congruent. Justify your answer.
**Picture Below**

Answer 1

@StudyGurl14

Answer 2

Yes, but ASA theorem of congruence

Answer 3

by* not but

Answer 4

So how do you jusify it....?

Answer 5

it is given that <BAC and <EAD are equal

Answer 6

I thought it was SSS

Answer 7

It is also given that side AD is congruent to AC

Answer 8

I'm not done. Will you let me finish? lol

Answer 9

Sorry haha.

Answer 10

hold on...you might be right

Answer 11

Is it both?

Answer 12

nope, you are right. It is SSS

Answer 13

Because those sides that I mentioned earlier are congruent, the third side must also be congruent

Answer 14

so...SSS

Answer 15

So I say Triangle ABC and Triangle AED are congruent by SSS. They are congruent because it is given that <BAC and <EAD are equal. It is also given that side AD is congruent to AC. Since those sides are congruent, the third side must also be congruent. @StudyGurl14

Answer 16

Ignore that part about the angle i said. hold on while i fix it...

Answer 17

Triangle ABC and Triangle AED are congruent by SSS. They are congruent because it is given that side AD is congruent to AC. It is also given that side BC is congruent to side ED. Since those sides are congruent, the third side must also be congruent.

Answer 18

its a bit faint but aren't the 2 sides AB and AE both given = to 7?

Answer 19

Oh yea, that too ^

Answer 20

Add this: Since side AB and side AE are both equal to 7, they are also equal to each other by the transitive property of equality

Answer 21

so all 3 sides are equal - congruent by SSS

Answer 22

Revised:
Triangle ABC and Triangle AED are congruent by SSS. They are congruent because it is given that side AD is congruent to AC. It is also given that side BC is congruent to side ED. Thridly, it is given that sides AB and AE are both length 7. This means that sides AB and AE are congruent by the transitive property of equality. Since those sides are congruent, triangles ABC and AED are congruent by SSS.

Answer 23

there is no need to consider the equal angles - just the 3 sides

Answer 24

Hey @ayyookyndall medal me, I'll medal @cwrw238 , and @cwrw238 can you medal @ayyookyndall ? Since we all did a good job...