Question

consider the enlargement of the triangle.
which statement is true about setting up a proportion to solve for the missing measure?
the two ratios are not equal.
corresponding parts must be in the same position.
corresponding parts must be in different positions.

Explanation:

Step1: Set up proportion

Since the triangles are similar (enlargement), corresponding parts must be in the same position. The proportion is \(\frac{6}{16}=\frac{9}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(6x = 16\times9\).

Step3: Solve for \(x\)

\(6x=144\), then \(x=\frac{144}{6}=24\).

Answer:

Corresponding parts must be in the same position. \(x = 24\) mm.