which figure is a dilation of figure a with the center of dilation at point e? figure b figure c figure d
which figure is a dilation of figure a with the center of dilation at point e? figure b figure c figure d
Answer
Explanation:
Step1: Recall the properties 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 the alignment with center (E)
For figure (B), the points of figure (A) and figure (B) do not lie on straight lines passing through (E). For figure (C), the points of figure (A) and figure (C) do not lie on straight lines passing through (E). For figure (D), the points of figure (A) and figure (D) lie on straight lines passing through (E) (by visual inspection of the grid - based figure, we can see that if we connect each vertex of figure (A) to the corresponding vertex of figure (D), the lines pass through point (E)).
Answer:
figure (D)