Dilations and Scale Factor

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.

Tags

CCSS.8.G.A.3

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Tags

CCSS.8.G.A.3

Front

How do you determine if a dilation is an enlargement or reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point during a dilation?

Back

The coordinates of a point (x, y) are multiplied by the scale factor k, resulting in (kx, ky).

Tags

CCSS.8.G.A.3

Front

If the scale factor is 5, what type of dilation occurs?

Back

An enlargement occurs.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 1/3, what type of dilation occurs?

Back

A reduction occurs.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a triangle with vertices at (1, 2), (3, 4), (5, 6) is dilated to (5, 10), (15, 20), (25, 30)?

Back

The scale factor is 5.

Tags

CCSS.8.G.A.3

Front

How do you find the scale factor between two similar figures?

Back

Divide the length of a side of the image by the corresponding side of the original figure.

Tags

CCSS.7.G.A.1

Front

What is the effect of a dilation on angles?

Back

Dilation does not change the measures of angles; they remain congruent.

Tags

CCSS.8.G.A.3

Front

If a rectangle is dilated by a scale factor of 4, how does its area change?

Back

The area increases by a factor of 4^2 = 16.

Tags

CCSS.7.G.A.1