Given rectangles LMNO and PQRS, which statement explains a way to determine if the two figures are similar?

Verify corresponding pairs of angles are proportional by translation.
Verify corresponding pairs of sides are proportional by dilation.
Verify corresponding pairs of angles are congruent by dilation.
Verify corresponding pairs of sides are congruent by translation.

1 answer

To determine if two rectangles LMNO and PQRS are similar, the correct statement is:

Verify corresponding pairs of sides are proportional by dilation.

In similar figures, the corresponding angles are equal (congruent), and the ratios of the lengths of corresponding sides are equal (proportional). Since rectangles have right angles, you only need to check that the ratios of the lengths of corresponding sides are proportional.