Question

1 select all the pairs of figures that are scaled copies of each other. (note: all measurements are rounded to the nearest whole number.) a. b.

Explanation:

Step1: Check angle - measures

In set A, both trapezoids have angles \(120^{\circ}\) and \(60^{\circ}\), so the corresponding angles are equal.

Step2: Calculate the scale - factor

For the trapezoids in set A, the ratio of the non - parallel sides is \(\frac{6}{9}=\frac{2}{3}\), the ratio of the parallel sides: \(\frac{3}{3} = 1\) and \(\frac{9}{12}=\frac{3}{4}\). Since the ratios of corresponding sides are equal (\(\frac{6}{9}=\frac{9 - 3}{12 - 3}=\frac{2}{3}\)), they are scaled copies.

Step3: Analyze set B

In set B, the angles of the two parallelograms are different (\(110^{\circ},70^{\circ}\) for one and \(115^{\circ},65^{\circ}\) for the other). Since corresponding angles are not equal, they are not scaled copies.

Answer:

A. The two trapezoids are scaled - copies of each other.