Question

A translation is shown on the grid below.

On a coordinate plane, triangle A B C has points (negative 4, 2), (negative 4, negative 2), (negative 1, negative 2). Triangle A prime B prime C prime has points (1, 5), (1, 1), (4, 1).

Which are true statements about the translation? Select 3 options.
The sides of the image and pre-image are congruent.
The image is turned 90°.
The angles in the image are different from the angles in the pre-image.
The image is a slide of the pre-image.
The image has a different shape than the pre-image.
Each point has moved in a different direction.
Each point has moved the same number of units.

Answer 1

True statements:
- The sides of the image and pre-image are congruent.
- The image is a slide of the pre-image.
- Each point has moved the same number of units.

Reason: every vertex moves by the same translation vector (−4,2) → (1,5) = (+5,+3), (−4,−2) → (1,1) = (+5,+3), (−1,−2) → (4,1) = (+5,+3). Translations preserve lengths and angles (so shape and orientation stay the same), and all points move the same distance and direction.