Question

What figure is a dilation of Figure A by a factor of 1/2 ?

Answer 1

A dilation of figure A by a factor of 1/2 is the last figure with sides 1in, 2 in, 0.5 in and 2.5 inch. Since dilation means becoming larger, smaller or wider from one figure, this is also same with similar figures where the ratios of corresponding sides should be the same. In this problem, the ratio is 0.5 or 1/2. Therefore figure A is similar to the last figure.

Answer 2

Answer: The answer is (D) the last figure.

Step-by-step explanation:  We are given a figure A with sides of measurement a = 2 in, b = 5 in, c = 1 in and d = 4 in.. The figure A is dilated by a factor of $\dfrac{1}{2}$. We need to select the correct figure after dilation out of the given four options.

Since the figure A is dilated by a scale factor of $\dfrac{1}{2}$, so the new figure will have the following measurement of sides:

$a'=\dfrac{1}{2}\times 2=1~\textup{in.},\\\\\\b'=\dfrac{1}{2}\times 5=2.5~\textup{in.},\\\\\\c'=\dfrac{1}{2}\times 1=0.5,~\textup{in.}\\\\\\d'=\dfrac{1}{2}\times 4=2~\textup{in.}.$

Therefore, the correct figure is the last one (D). The correct figure is attached herewith.