Question

Which of the following statements accurately describes the impact of a scale factor?

A) A scale factor only influences segment length.
B) A scale factor affects both area and perimeter of a figure.
C) A scale factor solely influences the angles within a shape.
D) A scale factor has no impact on geometric measurements.

Answer 1

A scale factor affects both area and perimeter of a figure.

Step-by-step explanation:

The correct answer is B) A scale factor affects both area and perimeter of a figure.

A scale factor is a constant ratio that compares the dimensions of a figure in a scale drawing to the dimensions of the actual figure. When a scale factor is applied to a figure, the lengths of its sides, as well as its area and perimeter, will change accordingly.

For example, if the scale factor is 2, every measurement of the figure in the scale drawing will be twice as long as the corresponding measurement in the actual figure. This means that the area of the figure in the scale drawing will be four times the area of the actual figure (since area is measured in square units and is affected by both length and width), and the perimeter will be twice as long as well.