Question

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

Explanation:

Step1: Recall the definition of translation

Translation is a transformation where all points of a figure move the same direction and the same number of spaces.

Step2: Analyze each option

• Option A: Flipping over a line is a reflection, not a translation.
• Option B: All points move the same direction and number of spaces, which is the definition of translation.
• Option C: Moving along a circular path around a point is a rotation, not a translation.
• Option D: If all points remain in the same position, there is no transformation.

Answer:

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