Similar Figures

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 ratios of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size. All corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

Are all angles in similar figures congruent?

Back

Yes, all corresponding angles in similar figures are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the ratios of corresponding sides in similar figures?

Back

In similar figures, the ratios of the lengths of corresponding sides are equal.

Front

If two shapes have the same angles but different side lengths, what can we say about them?

Back

They are similar figures.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the term for two objects that are the same shape but not the same size?

Back

Similar.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two figures are similar?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is an example of two similar figures?

Back

A small triangle and a large triangle that have the same angle measures but different side lengths.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Can two figures be similar if one is a reflection of the other?

Back

Yes, two figures can be similar even if one is a reflection of the other, as long as their corresponding angles are equal and the ratios of their corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Tags

CCSS.7.G.A.1