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Parallelogram PQRS is shown on the coordinate grid. Parallelogram PQRS is dilated with the origin as the center of dilation using the rule (x, y) → (0.75x, 0.75y) to create parallelogram P'Q'R'S'.


Which statement is true?

A) Parallelogram P'Q'R'S' is larger than parallelogram PQRS, because the scale factor is greater than 1.

B) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is less than 1.

C) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is greater than 1.

D) Parallelogram P'Q'R'S' is larger than parallelogram PQRS, because the scale factor is less than 1.

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Answer:

B) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is less than 1.  

Step-by-step explanation:

Given that Parallelogram PQRS is shown on the coordinate grid. Parallelogram PQRS is dilated with the origin as the center of dilation using the rule (x, y) → (0.75x, 0.75y) to create parallelogram P'Q'R'S'.

This means that sides of PQRS would be 0.75 times the sides of the original PQRS

Or PQRS will be larger

B) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is less than 1.  

is the right answer

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