Congruency & Lines of Symmetry

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning they can be perfectly overlapped.

Front

What is a line of symmetry?

Back

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

Front

How can you determine if two shapes are congruent?

Back

You can determine if two shapes are congruent by checking if they can be superimposed on each other without any gaps or overlaps.

Front

What is the maximum number of lines of symmetry a regular polygon can have?

Back

A regular polygon can have as many lines of symmetry as it has sides.

Front

If a shape has 1 line of symmetry, what does that mean?

Back

It means that if you fold the shape along that line, both halves will match perfectly.

Front

Can a shape have no lines of symmetry? Give an example.

Back

Yes, a shape can have no lines of symmetry. An example is a scalene triangle.

Front

What is the relationship between congruency and transformations?

Back

Congruent shapes can be obtained from one another through transformations such as translation, rotation, or reflection.

Front

How many lines of symmetry does a square have?

Back

A square has 4 lines of symmetry.

Front

What is an example of two congruent shapes?

Back

Two identical triangles with the same dimensions are examples of congruent shapes.

Front

If two shapes are not congruent, what can you say about their sizes?

Back

If two shapes are not congruent, they must differ in size, shape, or both.