Question

1. if trapezoid efgh is transformed by (x,y)→(⅓ x, ⅓ y), which is true about the side lengths of the image? a. they are three times the original b. they are one - third the original c. they are half the original d. they are twice the original open - ended questions: answer the following questions in complete sentences.

Explanation:

Step1: Analyze the transformation rule

The transformation $(x,y)\to(\frac{1}{3}x,\frac{1}{3}y)$ represents a dilation with a scale - factor of $\frac{1}{3}$. In a dilation, if the scale - factor is $k$, the side lengths of the image are related to the side lengths of the original figure by the formula: side length of image = $k\times$ side length of original. Here, $k = \frac{1}{3}$, so the side lengths of the image are one - third the original.

Answer:

B. They are one - third the original