Scale Factor and Dilations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilations, it determines how much larger or smaller a figure becomes.

Front

What does it mean to dilate a figure?

Back

To dilate a figure means to resize it by a scale factor, either enlarging or reducing its dimensions while maintaining the same shape.

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0,0).

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a coordinate plane, typically written as (x,y).

Front

What happens when the scale factor is less than one?

Back

When the scale factor is less than one, the dilation results in a reduction of the figure's size.

Front

If a rectangle has a length of 10 units and a scale factor of 2, what is the new length?

Back

The new length is 20 units (10 units x 2).

Front

What is the relationship between similar figures and scale factors?

Back

Similar figures have the same shape but different sizes, and the ratio of their corresponding sides is the scale factor.

Front

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

Back

To find the scale factor, divide the length of a side of one figure by the length of the corresponding side of the other figure.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x,y).

Front

What does it mean for a dilation to be an enlargement?

Back

A dilation is an enlargement when the scale factor is greater than one, making the figure larger.