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

A. Verify corresponding pairs of sides are congruent by translation.
B. Verify corresponding pairs of angles are proportional by translation.
C. Verify corresponding pairs of sides are proportional by dilation.
D. Verify corresponding pairs of angles are congruent by dilation.

Respuesta :

the answer is C, all sides must be proportional to a specific factor, or the dilation

Similar shapes may or may not be congruent.

The true statement is: (c) Verify corresponding pairs of sides are proportional by dilation.

From the question, we understand that:

QRST and WXYZ are similar

The possible scenarios are:

  • QRST ans WXYZ are congruent
  • QRST ans WXYZ are not congruent

The best way to determine their similarities is to assume that they are not congruent

This means that, the trapezoids are dilated, and they must have proportional corresponding sides.

The above highlight means that:

Option (c) is true

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