Answer:
figure C
Step-by-step explanation:
You want to identify the figure in the given diagram that is a dilation of Figure A.
Dilation
Corresponding vertices of a dilated figure will lie on a line through the center of dilation.
The lower left vertex of Figure A lies on the same line through E as the lower left vertex of Figure C. This is a necessary condition for Figure C to be a dilation of Figure A.
Figure C is a dilation of Figure A.
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Additional comment
The lower vertices of figures B and D do not lie on the lines from the vertices of figure A through point E. They cannot be dilations of figure A.
You will note, too, that figures B and D have different aspect ratios than figure A. Dilated figures are similar, so this is another indication that figures B and D are not dilations of A.
