Question

what rigid motion could align two identical shapes, one above the other, without changing their orientation?
a translation
b reflection
c rotation
d compression
which of the following is not a rigid motion?
a translation
b rotation
c dilation
d reflection
when proving two figures are congruent by translation, which aspect of the figures remains unchanged?
a their texture
b their weight
c their orientation
d their color
what type of rigid motion would you associate most with figures that are aligned but facing opposite directions?
a dilation
b reflection
c rotation
d translation

Explanation:

First Question:

Translation moves a shape without rotating or reflecting it, so it keeps orientation. Reflection flips, rotation turns, compression isn't rigid. So translation works.

Rigid motions (translation, rotation, reflection) preserve size/shape. Dilation scales (changes size), so it's not rigid.

Translation moves a figure, keeping orientation (and shape/size). Texture, weight, color aren't related to congruence via translation. Orientation stays.

Answer:

a. Translation

Second Question: