Question

are the two figures similar? if so, describe a sequence of transformations that maps one figure onto the other figure. if not, explain why they are not similar. choose the correct answer and justification. similar; dilate quadrilateral chew using a scale factor of \\(\frac{11}{16}\\) and center of dilation at the origin, and then reflect it over the x - axis, and translate 2 units to the left. similar; dilate quadrilateral chew using a scale factor of \\(\frac{11}{16}\\) and center of dilation at (1, 2), and then reflect it over the y - axis, and translate 4 units down. not similar; in quadrilateral chew, side \\(\overline{he}\\) has a length of 3.2 units. the corresponding side in quadrilateral toys has a length of only 2.2 units. not similar; the ratios of the side lengths are not equal for all of the sides.

Explanation:

Step1: Check side length ratios

First, identify the horizontal sides: $CH$ and $TO$ are both 3 grid units long, so their ratio is $\frac{TO}{CH}=\frac{3}{3}=1$. The slanted sides: $\frac{2.2}{3.2}=\frac{11}{16}$.

Step2: Compare all ratios

For similarity, all corresponding side length ratios must be equal. Here, the ratio of horizontal sides is 1, but the ratio of slanted sides is $\frac{11}{16}$, which are not equal.

Step3: Evaluate options

The first two options claim similarity, which is false. The third option only compares one pair of sides, which is not sufficient to disprove similarity. The fourth option correctly states the reason for non-similarity.

Answer:

not similar; The ratios of the side lengths are not equal for all of the sides.