Question

Which of the following statements is true of all translations?

A. all side positions remain the same
B. all corresponding vertex positions in a figure and its translation remain the same
C. all angle measures increase
D. all corresponding sides in a figure and its translation are parallel

Answer 1

Answer: D. all corresponding sides in a figure and its translation are parallel

Explanation:

In geometry, A translation is a rigid motion that is used to trace a function that moves an object a particular distance.

i.e. position of sides and vertices changes.

Properties of translation are :

Corresponding line segments have same length.

Corresponding angles have same measure.

Corresponding line segments are parallel.

Pre-image and image are congruent.

Hence, the true statement for translation :

D. all corresponding sides in a figure and its translation are parallel