Question

which figure is a dilation of figure a with the center of dilation at point e? figure b figure c figure d

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that enlarges or reduces a figure by a scale factor with respect to a center point. Corresponding points of the original figure and its dilation lie on straight lines passing through the center of dilation.

Step2: Check each figure

• For figure \(B\): The shape is not a scaled - up version of figure \(A\) with respect to center \(E\).
• For figure \(C\): The shape is not a scaled - up version of figure \(A\) with respect to center \(E\).
• For figure \(D\): The shape is a scaled - up version of figure \(A\) and the lines connecting corresponding points of figure \(A\) and figure \(D\) pass through the center of dilation \(E\).

Answer:

figure \(D\)