Question

represented by figure defg forms figure defg.
two figures that have the same shape, but not necessarily the same size, are called similar figures.
what is the relationship between the corresponding side lengths of the figures?
de is as de.
ef is as long as ef.
1/4 as long
1/2 as long
2 times as long

Explanation:

Step1: Count the length of \(DE\) and \(D'E'\)

Assume each grid has length \(1\). \(DE\) spans \(4\) grids, so \(DE = 4\). \(D'E'\) spans \(2\) grids, so \(D'E'=2\). Then \(\frac{D'E'}{DE}=\frac{2}{4}=\frac{1}{2}\).

Step2: Count the length of \(EF\) and \(E'F'\)

\(EF\) spans \(2\) grids, so \(EF = 2\). \(E'F'\) spans \(1\) grid, so \(E'F' = 1\). Then \(\frac{E'F'}{EF}=\frac{1}{2}\).

Answer:

\(D'E'\) is \(\frac{1}{2}\) as long as \(DE\). \(E'F'\) is \(\frac{1}{2}\) as long as \(EF\).