ShmoopTube

00:03

Here’s an unshmoopy question you’ll find on an exam somewhere in life.

00:07

If triangle ABC shown below is congruent to triangle XYZ, then ΔXYZ must be which of the following?

00:14

And here are the potential answers...

00:19

Ok, what is this question asking?

00:22

Really… just that we know what “congruent” means.

00:30

Good thing we stayed awake in class the day they went over all the vocab.

00:34

For two triangles to be congruent, all corresponding sides and angles must be the same.

00:41

A is ruled out because… no offense, but it’s a big fat fatty.

00:46

The angle at the top is bigger, and the angles at the bottom are smaller.

00:51

The triangle in B is oriented differently… but check it out.

00:54

All angles and side lengths appear to be equal, even if some sneaky person DID rotate the thing.

01:01

What about C?

01:02

Looks like we’ve got a right angle here…

01:04

…while ABC is more… equilateral. So let’s cross that one off, too.

01:09

Finally, D… not even close. Here we have an angle even greater than 90 degrees.

01:14

Must be from Florida.

01:17

Choice B. That's it. Choice B is the one... “Best answer.”

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