Dilations and Scale Factors

Front

What is the definition of dilations in mathematical terms?

Back

To make larger or smaller.

Tags

CCSS.8.G.A.3

Front

In a dilation, what mathematical operation is used with the scale factor?

Back

Multiplication.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if A (2, 10) dilates to A' (3, 15)?

Back

3/2.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if the point (8, 12) dilates to (2, 3)?

Back

1/4.

Tags

CCSS.8.G.A.3

Front

What is the scale factor from the small shape to the big shape if it is 2?

Back

2.

Tags

CCSS.7.G.A.1

Front

If a shape is dilated by a scale factor of 3, how does its area change?

Back

The area increases by a factor of 3^2 = 9.

Tags

CCSS.7.G.A.1

Front

What happens to the dimensions of a shape when it is dilated by a scale factor less than 1?

Back

The shape shrinks.

Tags

CCSS.8.G.A.3

Front

If a triangle with vertices (1, 2), (3, 4), and (5, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

(2, 4), (6, 8), (10, 12).

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a rectangle with dimensions 4x2 is dilated to dimensions 8x4?

Back

2.

Tags

CCSS.8.G.A.3

Front

If a point (x, y) is dilated by a scale factor of k, what are the new coordinates?

Back

(kx, ky).

Tags

CCSS.8.G.A.3