Similar vs Congruent

Front

What is the definition of 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 the definition of congruent figures?

Back

Congruent figures are shapes that are identical in shape and size. Their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

Are all squares similar?

Back

True. All squares are similar because they have the same shape and their corresponding angles are equal.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the relationship between two triangles if their corresponding angles are equal?

Back

The triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean if two figures are not congruent?

Back

It means that the figures do not have the same shape and size; they may differ in either or both.

Tags

CCSS.8.G.A.2

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar (Angle-Angle Criterion for similarity).

Tags

CCSS.HSG.SRT.A.2

Front

What is the Angle-Angle (AA) criterion for similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

Can two figures be similar but not congruent?

Back

Yes, two figures can be similar if they have the same shape but different sizes, thus they are not congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is an example of similar figures?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6