Question

read the paragraphs that describe the figures. use words from the word - bank to fill in the blanks. some words may be used more than once. keep in mind: if you are not sure which word goes in an answer blank, keep reading! sometimes reading the full sentence (or the next sentence) can help you choose the right word. figures abcd and aefg are because they have the same shape. the have the same measures. the ratios of the lengths of the are all equivalent. figures abcd and ahk are not similar because they do not have the same. the transformation that maps figure abcd onto figure aefg is called a it is not a transformation because the figures are not the same size. the is $\frac{3}{2}$. the is point a.

Explanation:

1. Similar figures have the same shape, corresponding angles are equal and ratios of corresponding - side lengths are equivalent.
2. A dilation is a non - rigid transformation that changes the size of a figure. The center of dilation is a fixed point. The scale factor is the ratio of the lengths of corresponding sides.

Answer:

1. Figures \(ABCD\) and \(AEFG\) are similar because they have the same shape. The corresponding angles have the same measures. The ratios of the lengths of the corresponding sides are all equivalent. Figures \(ABCD\) and \(AHJK\) are not similar because they do not have the same shape.
2. The transformation that maps figure \(ABCD\) onto figure \(AEFG\) is called a dilation. It is not a rigid transformation because the figures are not the same size. The scale factor is \(\frac{3}{2}\). The center of dilation is point \(A\).