Question

I will give medal, please help GEOMETRY

If triangle ABC is congruent to triangle XYZ, then which statement is true?

A: A congruent to Z
B: CA congruent to XY
C: B congruent to Y
D: AB congruent to YZ

Answer 1

@campbell_st @Directrix @Picasso890

Answer 2

triangle ABC
triangle XYZ

The correspondence of vertices is:

A to X
B to Y
and
C to Z

That comes from the orders the letters are written in the line-up of the name of the triangle.

Answer 3

So would it be B?

Answer 4

I don't think so. Let's see.

Answer 5

Congruent triangles have 3 pairs of corresponding congruent angles. They are listed above.

Look at the options to see if any fit the single letter correspondences.

Answer 6

For example, is this true:

A: A congruent to Z

Answer 7

No because the only corresponding verticals that come close to matchoing that is A to X. and that doesnt quite fit that. SO the answer would be C?

Answer 8

Correct logic. Option A is wrong.

Answer 9

What about this?

Is this true: C: B congruent to Y

Answer 10

Yes.

Answer 11

Okay. Option C is correct.

Now, we have to check the sides.

Answer 12

The corresponding sides are:

AB and XY

BC and YZ

AC and XZ

Answer 13

Is option B correct:

B: CA congruent to XY

Answer 14

Segment AC is the same segment as segment CA.

Answer 15

No.

Answer 16

Correct.

And the last option to check:

D: AB congruent to YZ

Does segment AB pair with segment YZ ?

Answer 17

No.

Answer 18

Yes. So that leaves the final answer as C: B congruent to Y.

Agree? @Lexaaa_ganja