Question

If triangle ABC is congruent to triangle XYZ, then which of the following is congruent to segment CA?

segment AB
segment XY
segment YZ
segment ZX

Answer 1

I think its zx

Answer 2

@steve816

Answer 3

segment ZX

Answer 4

so i am correct

Answer 5

Yes, you're correct!

Answer 6

Line up the letters like this
\[\Large \text{ABC}\\
\Large \text{XYZ}\]
Notice how AC or CA are the first & last letters of ABC
\[\Large \color{red}{\text{A}}\text{B}\color{red}{\text{C}}\\
\Large \text{XYZ}\]
So are X and Z
\[\Large \color{red}{\text{A}}\text{B}\color{red}{\text{C}}\\
\Large \color{red}{\text{X}}\text{Y}\color{red}{\text{Z}}\]
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What this all means is that AC (or CA) corresponds to XZ (or ZX)
So if the two triangles are congruent, then AC = XZ. You are correct.