Congruence and Symmetry

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other through rotations, reflections, or translations.

Tags

CCSS.8.G.A.2

Front

What is symmetry?

Back

Symmetry is a property where one half of a figure is a mirror image of the other half.

Tags

CCSS.4.G.A.3

Front

What is a line of symmetry?

Back

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

Tags

CCSS.4.G.A.3

Front

If a figure has 4 lines of symmetry, what can you say about its shape?

Back

The figure is likely a regular polygon, such as a square or a circle.

Tags

CCSS.4.G.A.3

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' means 'is congruent to' and is used to indicate that two figures have the same size and shape.

Tags

CCSS.8.G.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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the difference between congruent and similar figures?

Back

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

Tags

CCSS.8.G.A.2

Front

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding sides and angles?

Back

The corresponding sides and angles of triangle ABC and triangle DEF are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is an example of a figure that has rotational symmetry?

Back

A star shape has rotational symmetry because it looks the same after being rotated by certain angles.

Tags

CCSS.HSG.CO.A.4

Front

How can you determine if a figure has a line of symmetry?

Back

You can fold the figure along a line; if both halves match perfectly, the line is a line of symmetry.

Tags

CCSS.4.G.A.3