Quadrilateral $$P Q R S$$ is dilated with the origin as the center of dilation to create quadrilateral $$P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$$. The coordinates of each vertex are integers. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-06-12%20at%2011.35.11%20AM_20230612093528390481.png) Which statement is true?

The transformation dilation has been used to transform quadrilateral $$P Q R S$$ to quadrilateral $$P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$$. Dilation makes similar figures not congruent. Thereore, the correct option is "D Quadrilateral $$P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$$ is similar to quadrilateral $$P Q R S$$."

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Quadrilateral $P Q R S$ is dilated with the origin as the center of dilation to create quadrilateral $P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$ . The coordinates of each vertex are integers.

Which statement is true?

Select all that apply :

D Quadrilateral $P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$ is similar to quadrilateral $P Q R S$ .

A Each side length of quadrilateral PQRS is $\frac{1}{2}$ the corresponding side length of quadrilateral $P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$ .

B Quadrilateral $P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$ is congruent to quadrilateral $P Q R S$ .

C Each angle measure of quadrilateral $P Q R S$ is $\frac{1}{2}$ the corresponding angle measure of quadrilateral $P^{\prime} Q^{\prime} R^{\prime} S^{\prime}$ .

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