Question

ariana uses a flag in a shadow play. when the flag moves closer to the screen, the 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? as ef. 1/4 as long 1/2 as long 2 times as long

Explanation:

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

Count the number of units for \(DE\) and \(D'E'\) on the grid. \(DE = 2\) units, \(D'E'= 4\) units.

Step2: Calculate 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 number of units for \(EF\) and \(E'F'\) on the grid. \(EF = 1\) unit, \(E'F'= 2\) units.

Step4: Calculate 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 \(EF\).