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A parallelogram is dilated by a scale factor of 1/4 to produce a new parallelogram. Which of the following best describes the relationship of the area of the new parallelogram to the area of the original parallelogram?

The area of the new parallelogram is 1/2 the area of the original parallelogram.


The area of the new parallelogram is 1/4 the area of the original parallelogram.


The area of the new parallelogram is 1/16 the area of the original parallelogram.


The area of the new parallelogram is 1/8 the area of the original parallelogram.

Answer :

mhanifa

Answer:

  • C. The area of the new parallelogram is 1/16 the area of the original parallelogram.

Step-by-step explanation:

Dilation by a scale factor of 1/4 results in all dimensions reduction 4 times

Since the area is the product of two dimensions, the area of smaller parallelogram is 4*4 = 16 times smaller than the original one.

Correct answer choice is C

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