Question

Triangle ABC is translated 2 units up and 2 units right to get triangle A'B'C'. Which of the following statements is true?

Triangle A'B'C' is half the size of triangle ABC.
Triangle A'B'C' is congruent to triangle ABC.
Triangle A'B'C' is double the size of triangle ABC.
Triangle A'B'C' is four times the size of triangle ABC.

Answer 1

The correct answer is the second option

Answer 2

The answer is: triangle A'B'C' is congruent to triangle ABC.

Explanation:

If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units, 2 up and 2 right. Therefore the size and shape of the triangle wouldn't change.

The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length, so, we can conclude that the triangles are congruent.

Congruent means that they have identical form (size, shape, angles, sides)