Similar Figures & Scale Drawings

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 their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper, using a specific ratio or scale.

Tags

CCSS.7.G.A.1

Front

How do you find the scale factor?

Back

The scale factor is found by comparing the dimensions of the model to the actual object. It is calculated by dividing a length in the model by the corresponding length in the actual object.

Tags

CCSS.7.G.A.1

Front

If a garden is 45 ft wide and 70 ft long, what is the scale if the width on a blueprint is 9 in?

Back

The scale is 1 in = 5 ft.

Tags

CCSS.7.G.A.1

Front

What is the formula for finding the actual distance using a scale?

Back

Actual Distance = Distance on Map × Scale Factor.

Tags

CCSS.7.G.A.1

Front

How do you convert feet to inches?

Back

To convert feet to inches, multiply the number of feet by 12, since 1 foot equals 12 inches.

Tags

CCSS.4.MD.A.1

Front

What is the relationship between the sides of similar figures?

Back

The corresponding sides of similar figures are proportional, meaning the ratio of one side to the corresponding side in another figure is constant.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If a model is built at a scale of 5 in:25 ft, how do you find the actual size from the model size?

Back

Multiply the model size by the scale factor (5 in corresponds to 25 ft, so 1 in corresponds to 5 ft).

Tags

CCSS.7.G.A.1

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means they do not have the same shape, their corresponding angles are not equal, or their sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you set up a proportion for similar figures?

Back

To set up a proportion, write the ratios of corresponding sides of the two figures as equal to each other.

Tags

CCSS.HSG.SRT.A.2