Question

the figures below are similar. use proportions to find the length of m.

\\( m = ? \\)

Explanation:

Identify corresponding sides

Using the Similar Polygons knowledge point, we identify the corresponding sides of the two similar trapezoids. The left side of the larger trapezoid has length \(6\), which corresponds to the left side of the smaller trapezoid with length \(m\). The bottom base of the larger trapezoid has length \(9\), which corresponds to the bottom base of the smaller trapezoid with length \(6\).

Set up the proportion

Using the Geometric Proportions knowledge point, similar figures have corresponding side lengths that are proportional. We write the ratio of the corresponding sides:

$$ \frac{6}{m} = \frac{9}{6} $$

Solve for m

Using the Cross Multiplication and Linear Equations knowledge points

$$
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$$

Answer:

The figures below are similar. Use proportions to find the length of m.

\(m =\) <blank>4</blank>