Question

Is this correct? proving congruent triangles

Answer 1

looks like asa to me

Answer 2

How did you tell that?

Answer 3

they have two angles in common and the side lies between the two angles.

Answer 4

specifically acb equals bcd, abc equals dbc, and bc equals bc

Answer 5

hmmmm, ok

Answer 6

Can you check this one too?

Answer 7

Sure go ahead and post

Answer 8

Looks good

Answer 9

er wait

Answer 10

I see they have two common sides

Answer 11

but need more information to prove congruent.

Answer 12

What do those little lines intersecting the sides mean?

Answer 13

that the two sides with those marks are the same length (are congruent)

Answer 14

As Evoker said, you have two sides you know about: the "marked sides" and the line down the middle which is "equal to itself"
but we need more info: an angle or another side.

Answer 15

In that case how do I answer this? Which option can I choose?

Answer 16

Are you sure there is no more info ?
if there is no more info, we can't prove congruent.

Answer 17

There is nothing more, whatever is in the image is all there is

Answer 18

on the other hand, I don't understand the question.
we *could* use SAS , but only if we knew the angle between the two sides.

But I would choose not congruent.
(and make a note to ask your teacher about this if that is the wrong answer)

Answer 19

Alright, I guess I'll try that. And I'll surely ask her about it too. Anyway, Thanks:)

Answer 20

We know one pair of sides are congruent because we are told so.
We know the side in common is congruent to itself.
That means we know two sides of one triangle are congruent to two sides of the other triangle.
The only methods this could lead to are SAS and SSS (since the is no indication of right triangles here.).
We know nothing about the other pair of sides, so SSS is out.
We also know nothing bout the included angles, so SAS is also out.
The triangles cannot be proved congruent with the information we have.
Therefore, the answer is D.