Question

If a translation maps ∠H onto ∠J, which of the following statements is true?

Answer 1

If a translation maps H onto J, then ∠I ≅ ∠K is true

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

The figure

Also, we have

A translation maps ∠H onto ∠J

By definition:

A translation is a transformation that slides each point in a figure the same distance in the same direction.

This means that

Angle I is mapped to angle K, their measurements will be equivalent.

hence, ∠I ≅ ∠K

Answer 2

Explanation:

If a translation maps ∠H onto ∠J, then the two angles are congruent.

A translation is a transformation that moves all points in a figure the same distance in the same direction. This transformation preserves angles, so if ∠H is mapped onto ∠J by a translation, then the two angles have the same measure and are therefore congruent.

In other words, a translation preserves both angle measure and angle congruence.