Question

Given trapezoids QRST and WXYZ, which statement explains a way to determine if the two figures are similar?

Answer 1

for two figures to be proportional, their corresponding pair of sides must retain a proportion, regardless of rotation or translation of the figure.

so if we simply verify that all corresponding pairs of sides are proportional under transformation, if they are, then the figures are similar.

Answer 2

Answer:

The correct option is C. Verify corresponding pairs of sides are proportional by dilation

Step-by-step explanation:

The scale factor is the ratio between the dimensions in two similar figures. The term "similar figures" refers to figures that have the same shape but different sizes.

So, a dilation is a transformation created by a scale factor.

That is, a dilation that is smaller or larger than the original figure can be created.

To obtain a measure of the large figure and have the value of the small figure, this value is multiplied by the scale factor.

To obtain a measure of the small figure and the value of the large figure, this value is divided by the scale factor.

In other words, the scale factor is the radius that determines the proportional relationship between the sides of similar figures. In order for the pairs of sides to be proportional to each other, they must have the same scale factor. That is, similar figures have congruent angles (Dilation keeps the measure of the corresponding angles are equal) and sides with the same scale factor.

For example, a scale factor of two means that each side of the larger figure is exactly twice as large as the corresponding side in the smaller figure.

Given the above, the correct option is C. Verify corresponding pairs of sides are proportional by dilation