Changing Dimensions Proportionally

Front

What happens to the perimeter of a shape when it is dilated by a scale factor of 2?

Back

The perimeter is doubled.

Front

If a figure is multiplied by a scale factor of 1/4, what happens to its perimeter?

Back

The perimeter will be 1/4 the original perimeter.

Front

When multiplying the dimensions of a shape by a scale factor, how does the area change?

Back

The area will multiply by the scale factor squared (to the power of 2).

Front

When multiplying the dimensions of a shape by a scale factor, how does the perimeter change?

Back

The perimeter will multiply by the same scale factor.

Front

If the dimensions of a pentagon with an area of 12 are tripled, what is the area of the new pentagon?

Back

The area of the new pentagon is 108.

Front

Define 'scale factor' in the context of geometry.

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape to create a similar shape.

Front

What is the relationship between scale factor and area when scaling a two-dimensional shape?

Back

The area of the shape is multiplied by the square of the scale factor.

Front

If a rectangle has a base of 4 ft and a height of 5 ft, what is its original perimeter?

Back

The original perimeter is 18 ft.

Front

What is the formula for calculating the perimeter of a rectangle?

Back

Perimeter = 2 * (length + width).

Front

If a shape's dimensions are halved, what happens to its perimeter?

Back

The perimeter is halved.