Question

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shadow changes.
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 1/4 as long as ef.
1/2 as long
2 times as long

Explanation:

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

Count the units for \(DE\). \(DE = 2\) units. Count the units for \(D'E'\). \(D'E'= 4\) units.

Step2: Find the ratio of \(D'E'\) to \(DE\)

The ratio is \(\frac{D'E'}{DE}=\frac{4}{2} = 2\).

Step3: Count the length of \(EF\) and \(E'F'\)

Count the units for \(EF\). \(EF = 1\) unit. Count the units for \(E'F'\). \(E'F'= 2\) units.

Step4: Find the ratio of \(E'F'\) to \(EF\)

The ratio is \(\frac{E'F'}{EF}=\frac{2}{1}=2\)

Answer:

\(D'E'\) is \(2\) times as long as \(DE\). \(E'F'\) is \(2\) times as long as \(EF\).