Question

a) yes; mnpl ~ ghjf because the corresponding angles are congruent; $\frac{5}{2}$. b) yes; mnpl ~ ghjf because the corresponding angles are congruent and $\frac{mn}{gh}=\frac{np}{hj};\frac{2}{5}$. c) yes; mnpl ~ ghjf because the corresponding angles are congruent; 4. d) no; $\frac{mn}{gh}
eq\frac{np}{hj}$

Explanation:

Step1: Recall similarity condition

For two rectangles to be similar, corresponding angles are congruent (which is true for all rectangles as all angles are 90 - degrees) and the ratios of corresponding sides must be equal.

Step2: Calculate ratio of corresponding sides

The ratio of side $MN$ to $GH$ is $\frac{MN}{GH}=\frac{2}{8}=\frac{1}{4}$, and the ratio of side $NP$ to $HJ$ is $\frac{NP}{HJ}=\frac{4}{10}=\frac{2}{5}$. Since $\frac{1}{4}
eq\frac{2}{5}$, the rectangles are not similar.

Answer:

D. no; $\frac{MN}{GH}
eq\frac{NP}{HJ}$