Congruent vs. Similar Figures

Front

What are congruent figures?

Back

Figures that have the same shape and size.

Tags

CCSS.8.G.A.2

Front

What are similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two figures are similar?

Back

If 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 the symbol for congruence?

Back

≅ (the symbol indicates that two figures are congruent).

Tags

CCSS.8.G.A.2

Front

What is the symbol for similarity?

Back

∼ (the symbol indicates that two figures are similar).

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A is congruent to triangle B, what can we say about their sides and angles?

Back

All corresponding sides and angles are equal.

Tags

CCSS.HSG.CO.B.7

Front

Can two figures be similar but not congruent?

Back

Yes, if they have the same shape but different sizes.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is an example of congruent figures?

Back

Two squares with side lengths of 4 cm.

Tags

CCSS.8.G.A.2

Front

What is an example of similar figures?

Back

A triangle with sides 3 cm, 4 cm, 5 cm and another triangle with sides 6 cm, 8 cm, 10 cm.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6