Similar Figures and Scale Factors TOTD

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Tags

CCSS.7.G.A.1

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction in size of the figure.

Tags

CCSS.8.G.A.3

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Tags

CCSS.8.G.A.3

Front

If a model of a flagpole has a scale of 1 in. = 4 ft, how do you find the actual height of the flagpole if the model is 12 inches?

Back

Multiply the model height by the scale factor: 12 inches * 4 ft/inch = 48 feet.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if the dimensions of a triangle are doubled?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between scale factors and area?

Back

If the scale factor is k, the area of the new figure is k^2 times the area of the original figure.

Tags

CCSS.7.G.A.1

Front

What is the relationship between scale factors and volume?

Back

If the scale factor is k, the volume of the new figure is k^3 times the volume of the original figure.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Divide the length of a side of one figure by the corresponding side of the other figure.

Tags

CCSS.7.G.A.1

Front

What is an example of a real-world application of scale factors?

Back

Scale factors are used in models, maps, and blueprints to represent larger objects or areas in a smaller, manageable size.

Tags

CCSS.7.G.A.1