Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the criterion for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the ratios of their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What are corresponding angles?

Back

Angles that are in the same position in two different figures.

Tags

CCSS.8.G.A.5

Front

What are corresponding sides?

Back

Sides that are in the same relative position in two similar figures.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles have one angle equal and the sides including that angle are proportional, are they similar?

Back

Yes, they are similar by the Angle-Side-Angle (ASA) similarity criterion.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they are the same shape and size.

Tags

CCSS.8.G.A.2

Front

Can two figures be similar but not congruent?

Back

Yes, similar figures can have the same shape but different sizes.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the angles of similar figures?

Back

All corresponding angles of similar figures are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two triangles are similar using side lengths?

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2