Question

6) Which type of transformation creates an image where the area of the shape changes? A) translations B) rotations C) reflections D) dilations

Answer 1

The transformation that changes the area of a shape is dilation (Option D)

Step by step explanation

Option A: Translation

A translation is a geometric transformation that moves every point of a figure, shape, or space by the same distance in a given direction. For this type, the image is congruent with the original shape.

Option B: Rotation

A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. For this type, the image is congruent with the original shape.

Option C: Reflection

A reflection is a transformation where each point in a shape appears at an equal distance on the opposite side of a given line - the line of reflection. For this type, the image is congruent with the original shape.

Option D: Dilations

Dilation in math is a transformation that changes the size of a figure so it becomes larger or smaller without changing shape. This type changes the area since the area is the size of a figure.