Two scalene triangles with congruent bases.

So they can not be congruent.

So, they need to be congruent

Alternate interior angles must be congruent

CAE must be congruent to BDE

And they're going to be congruent.

must be congruent to angle BDE and this is the corresponding angles of congruent triangles

Complements of congruent angles are congruent.

Supplements of congruent angles are congruent.

Complements of congruent angles are congruent.

Two isosceles triangles with congruent vertex angles.

Triangle GMH must be congruent to IMF.

And obviously if this is congruent to that and that is congruent to that then these two would have to be congruent to each other

And so we know that if they are congruent then their corresponding sides have to be congruent

SO, all congruent triangles, if something if two triangles are congruent they are definitely going to be similar.

you can see ABC is going to be congruent to DCB, angle DCB and you can say by you can say corresponding angles congruent of congruent triangles

Triangle FMG must be congruent to triangle HMG.

Those two angles are going to be congruent.

They say which pair of triangles can be established to be congruent to prove that angle DAB is congruent to angle BCD?

We only know this side is congruent, this side is congruent, and this angle is congruent.

So, ABC is going to be congruent to DCB

So, these two angles are going to be congruent

Now, we know that corresponding angles must be congruent

So 2 and 3 would also be congruent angles.

That would be enough to show that this angle is congruent to that angle, because they would be the corresponding angles of a congruent triangle.

Well, if two triangles are congruent then all of the corresponding features of the two triangles are going to be congruent

and we know that by corresponding angles congruent of congruent triangles

But RP is definitely going to be congruent to TA.

This angle is going to be congruent to that angle

This congruent triangles would be kind of flipping each other.

If adjacent angles are congruent, which statement must be true?

The third angle has to be congruent to each other.

So that angle and that angle would be corresponding angles, so they would be congruent, and then that angle and that angle would be corresponding angles so they'd also be congruent.

Well that's congruent.

They're all congruent

Are they congruent?

If AB is congruent to DE then we definitely have congruent triangles.

If we have a right triangle and we have one of the sides (which ihappens to be congruent) and our hypotenuese is congruent.

In particular, we know that angle AEB is going to be congruent to angle CEB because they are corresponding angles of congruent triangles

Their final outcomes are seldom congruent with their prime movers intentions.

So it's going to be congruent to triangle, I said ADC.

So GMH, that's that one right there, must be congruent to

You'll see that opposite angles are always going to be congruent.

Side angle side, these 2 triangles are going to be congruent

We have a side in between that's going to be congruent