Similar and Congruent Figures

Front

What are similar figures?

Back

Figures that have the same shape but different sizes.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What are congruent figures?

Back

Figures that have the same size and the same shape.

Tags

CCSS.8.G.A.2

Front

If two triangles are similar, what can we say about their corresponding angles?

Back

Their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If two figures are similar, how do their corresponding side lengths relate?

Back

The ratios of their corresponding side lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does the symbol ∼ mean in geometry?

Back

It means 'is similar to'.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you set up a proportion to find a missing side length in similar figures?

Back

Set the ratio of corresponding sides equal to each other.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, which angle corresponds to ∠A?

Back

∠D.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If a rectangular garden is 45 ft wide and 70 ft long, what is the ratio of width to length?

Back

The ratio is 45:70 or simplified to 9:14.

Front

How do you determine if two figures are congruent?

Back

Check if they have the same size and shape.

Tags

CCSS.8.G.A.2