Congruency vs. Similarity

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same 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 congruency in geometry?

Back

Two shapes are congruent if they are identical in shape and size. This means all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

Are all circles similar?

Back

Yes, all circles are similar because they have the same shape (circular) and their corresponding angles are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is a scale factor (SF) in the context of similar shapes?

Back

The scale factor (SF) is the ratio of the lengths of corresponding sides of two similar shapes.

Tags

CCSS.7.G.A.1

Front

If the scale factor of two similar triangles is 2, what does this imply about their corresponding sides?

Back

It implies that each side of the larger triangle is twice the length of the corresponding side of the smaller triangle.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are the sides of two shapes that are in the same relative position to each other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between similar and congruent shapes?

Back

All congruent shapes are similar, but not all similar shapes are congruent. Congruent shapes have the same size, while similar shapes do not.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which is a key criterion for establishing similarity.

Tags

CCSS.HSG.SRT.A.2

Front

If two shapes have the same corresponding measurements, what can be concluded?

Back

If two shapes have the same corresponding measurements, they are both similar and congruent.

Tags

CCSS.8.G.A.2