8.3C & 8.10D Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

If a figure is dilated by a scale factor of k, how does the area change?

Back

The area of the figure is multiplied by k².

Front

What happens to the side lengths of a rectangle when it is dilated by a scale factor of 3?

Back

The side lengths become 3 times larger.

Front

If the linear scale factor is 2, what is the area scale factor?

Back

The area scale factor is 2² = 4.

Front

What is the relationship between the perimeter and the scale factor in a dilation?

Back

The perimeter of the figure is multiplied by the scale factor.

Front

A square has a side length of 2 ft. If it is dilated by a scale factor of 4, what is the new side length?

Back

The new side length is 2 ft × 4 = 8 ft.

Front

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

Back

The area is 4 ft × 5 ft = 20 square feet.

Front

What is the area of a rectangle after it is dilated by a scale factor of 2?

Back

The area is multiplied by 4, so if the original area is 20 square feet, the new area is 80 square feet.

Front

True or False: If both the side lengths and perimeter of a rectangle are tripled, the area is also tripled.

Back

False. The area is multiplied by 3² = 9.

Front

What is the formula to calculate the area of a rectangle?

Back

Area = base × height.