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. In dilation, corresponding points of the original figure and its image lie on straight lines passing through the center of dilation.

Step2: Check each figure

• For figure \(B\): The points of figure \(B\) and figure \(A\) do not lie on straight lines passing through point \(E\).
• For figure \(C\): The points of figure \(C\) and figure \(A\) do not lie on straight lines passing through point \(E\).
• For figure \(D\): The points of figure \(D\) and figure \(A\) lie on straight lines passing through point \(E\), which satisfies the property of dilation.

Answer:

figure \(D\)