Similar Figures & Scale Factor Review

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. 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 a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides of two similar figures.

Tags

CCSS.7.G.A.1

Front

How do you find the missing side of similar figures?

Back

To find the missing side of similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Tags

CCSS.HSG.SRT.A.2

Front

If two figures are similar and one side of the first figure is 10 cm while the corresponding side of the second figure is 5 cm, what is the scale factor?

Back

The scale factor is 1:2, meaning the second figure is half the size of the first.

Tags

CCSS.7.G.A.1

Front

How do you convert a scale drawing measurement to real-life dimensions?

Back

To convert a scale drawing measurement to real-life dimensions, multiply the measurement in the drawing by the scale factor.

Tags

CCSS.7.G.A.1

Front

If a scale drawing has a scale of 1 cm : 4 m, how wide is a parking lot that is 20 m wide in real life?

Back

The parking lot would be 5 cm wide in the drawing (20 m ÷ 4 m/cm = 5 cm).

Tags

CCSS.7.G.A.1

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, the ratio of the areas is k².

Tags

CCSS.7.G.A.1

Front

How do you determine the scale of a drawing?

Back

The scale of a drawing can be determined by comparing a measurement on the drawing to the actual measurement it represents.

Tags

CCSS.7.G.A.1

Front

If a model is built at a scale of 1:10, what does this mean?

Back

This means that 1 unit of measurement on the model represents 10 units of the same measurement in real life.

Tags

CCSS.7.G.A.1

Front

What is the formula for finding the scale factor between two similar triangles?

Back

The scale factor can be found by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.

Tags

CCSS.7.G.A.1