Question

consider the enlargement of the trapezoid.
which of the proportions is correctly set up to find the missing dimension of the enlarged trapezoid?
$$\frac { 6.5 } { x } = \frac { 3.25 } { 2 }$$
$$\frac { 3.25 } { x } = \frac { 2 } { 6.5 }$$
$$\frac { x } { 3.25 } = \frac { 2 } { 6.5 }$$
$$\frac { 3.25 } { 2 } = \frac { 6.5 } { x }$$

Explanation:

Step1: Understand the concept of proportion for similar figures

For similar trapezoids, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

The side of length \(3.25\) cm in the smaller trapezoid corresponds to the side of length \(6.5\) cm in the larger trapezoid. The side of length \(2\) cm in the smaller trapezoid corresponds to the side of length \(x\) cm in the larger trapezoid.

Step3: Set up the proportion

The proportion should be \(\frac{3.25}{6.5}=\frac{2}{x}\) (corresponding sides of similar figures).

Answer:

\(\frac{3.25}{6.5}=\frac{2}{x}\) (the third option in the given choices)