Dilations Flashcard Review

Front

What is a dilation in geometry?

Back

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

Tags

CCSS.8.G.A.3

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure is enlarged.

Tags

CCSS.8.G.A.3

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure is reduced.

Tags

CCSS.8.G.A.3

Front

If a triangle has a height of 4 inches and is dilated to a height of 8 inches, what is the scale factor?

Back

The scale factor is 2.

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a point after dilation?

Back

Multiply each coordinate of the point by the scale factor.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point O (0,4) after a dilation with a scale factor of 7?

Back

(0,28) because 4 * 7 = 28.

Tags

CCSS.8.G.A.3

Front

If a triangle is 3 inches wide and is dilated to a width of 6 inches, what is the scale factor?

Back

The scale factor is 2.

Tags

CCSS.8.G.A.3

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

If a triangle's area is 12 square inches and it is dilated by a scale factor of 2, what is the new area?

Back

The new area is 48 square inches because area scales by the square of the scale factor (2^2 = 4). 12 * 4 = 48.

Tags

CCSS.7.G.A.1

Front

What is the relationship between the scale factor and the dimensions of a figure?

Back

The dimensions of a figure are multiplied by the scale factor during dilation.

Tags

CCSS.7.G.A.1