Congruence and Symmetry

Front

What is Congruence?

Back

Congruence refers to figures that have the same shape and size. If two figures are congruent, they can be superimposed on each other.

Tags

CCSS.8.G.A.2

Front

What is Symmetry?

Back

Symmetry is a property where a figure can be divided into two identical halves that are mirror images of each other.

Tags

CCSS.4.G.A.3

Front

What does it mean for figures to be Similar?

Back

Similar figures have the same shape but may differ in size. Their corresponding angles are equal, and their sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is a Line of Symmetry?

Back

A line of symmetry is an imaginary line that divides a shape into two identical parts that are mirror images of each other.

Tags

CCSS.4.G.A.3

Front

If two triangles are congruent, what can be said about their corresponding sides and angles?

Back

If two triangles are congruent, their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Tags

CCSS.8.G.A.2

Front

What is the symbol for Congruence?

Back

The symbol for congruence is '≅'.

Tags

CCSS.8.G.A.2

Front

What is the difference between Congruent and Similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but different sizes.

Tags

CCSS.8.G.A.2

Front

Can a figure have more than one line of symmetry? Give an example.

Back

Yes, a figure can have multiple lines of symmetry. For example, a square has four lines of symmetry.

Tags

CCSS.4.G.A.3

Front

What is an example of a figure that is not symmetrical?

Back

An example of a figure that is not symmetrical is a scalene triangle, which has no equal sides or angles.

Tags

CCSS.4.G.A.3

Front

How can you determine if two shapes are similar?

Back

To determine if two shapes are similar, check if their corresponding angles are equal and their sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6