Respuesta :

The triangle has a translation. All corresponding angles remain congruent. Every point changed coordinates. The triangle retains the original size.

A) True

B) False

C) True

D) False

Answer: A, C

Hi!

Okay, so first, let's find the coordinates of each of the translated points.

A (-2,3)

A' (-2 + 6, 3 - 2) = (4,1)

B (3,1)

B' (3 + 6, 1 - 2) = (9,-1)

C (1,-3)

C' (1 + 6, -3 - 2) = (7,-5)

Now let's go through each statement, and see if it's correct.

A) ∠A and ∠A' have the same measures

This is true! ∠A' did not change.

B) B and B' have the same coordinates

This is false. B = (3,1) B' = (9,-1)

C) The areas of ΔABC and ΔABC' are the same

This is true! The whole triangle moved, it didn't shrink, or grow. They are the same.

D) None of the above

This is false. C) and A) are correct.

The answers are A) and C)

Hope this helps!

-Peredhel

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