Day 79: 6.MG.4 Congruent Figures

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, meaning they have the same shape and size. It is often written in the form of ΔABC ≅ ΔDEF.

Front

How do you write a congruence statement for triangles?

Back

To write a congruence statement for triangles, list the corresponding vertices in the same order. For example, if triangle ABC is congruent to triangle DEF, it is written as ΔABC ≅ ΔDEF.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they can be transformed into each other through rotations, reflections, or translations without changing their size or shape.

Front

What is a line of symmetry?

Back

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

Front

How many lines of symmetry does a square have?

Back

A square has 4 lines of symmetry.

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is the relationship between congruent triangles and their corresponding sides and angles?

Back

In congruent triangles, corresponding sides are equal in length, and corresponding angles are equal in measure.

Front

What is the significance of the symbol '≅'?

Back

The symbol '≅' denotes that two figures are congruent.

Front

Can a shape have more than one line of symmetry?

Back

Yes, a shape can have multiple lines of symmetry. For example, a circle has an infinite number of lines of symmetry.

Front

What is an example of a shape with no lines of symmetry?

Back

An example of a shape with no lines of symmetry is a scalene triangle.