Question

If DE = 8, PS = 4, and PQ = 3, then what is the scale factor of DEFG to PQRS?

Answer 1

The scale factor of DEFG to PQRS is: 3/8.

What is a Scale Factor?

• A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
• Scale factor is ratio of corresponding side of new figure to original figure.

Thus:

DE corresponds to PQ.

PQRS is the new figure.

DE = 8; PQ = 3

• Therefore:

Scale factor of DEFG to PQRS = PQ/DE

Scale factor = 3/8.

Thus, the scale factor of DEFG to PQRS is: 3/8.

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