Question

how do the points of a figure move in a translation? same distance and same direction; different distance and different direction; same distance and different direction; different distance and same direction

Explanation:

In a translation (a type of transformation in geometry), every point of a figure is moved the same distance and in the same direction. This is a fundamental property of translation. So we analyze each option:

• "Different distance and different direction" is incorrect as translation requires consistency in distance and direction.
• "Same distance and different direction" is wrong because direction must be the same in translation.
• "Different distance and same direction" is also incorrect as distance must be the same for all points.
• "Same distance and same direction" matches the definition of translation.

Answer:

A. Same distance and same direction