Dilations: Effects of Perimeter and Area

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

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

Back

The perimeter of the shape is multiplied by the scale factor k.

Front

What happens to the area of a shape when it is dilated by a scale factor of k?

Back

The area of the shape is multiplied by the square of the scale factor (k^2).

Front

If a rectangle has dimensions 2 ft by 3 ft, what is its area?

Back

6 square feet.

Front

If Jane's garden is dilated by a scale factor of 3, what is the new area of her garden?

Back

54 square feet.

Front

True or False: All angles in similar figures are congruent.

Back

True.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The corresponding sides are proportional.

Front

If the scale factor is 5, how many times larger will the area of the larger square be compared to the smaller square?

Back

25 times larger.

Front

What is the perimeter of a triangle with a perimeter of 10 cm when each dimension is dilated by a scale factor of 2?

Back

20 centimeters.

Front

What is the relationship between scale factor and area in dilations?

Back

Area is affected by the square of the scale factor.