Question

which statement explains why the figures represent a translation?
a. all the points remain in the same position.
b. all the points move the same direction and number of spaces.
c. all the points flip over a line.
d. all the points move along a circular path around a point.

Explanation:

Translation in geometry means moving a figure without rotating or resizing it. Each point of the figure moves the same direction and same distance. Option A is wrong as points change position in translation. Option C describes reflection (flipping over a line). Option D describes rotation (moving along a circular path around a point). Option B correctly states the key property of translation - all points move the same direction and number of spaces.

Answer:

B. All the points move the same direction and number of spaces.