Congruent Figures and Symmetry

The video tutorial explains the concept of congruence in polygons, focusing on how shapes can be congruent if they have the same size and shape. It discusses examples with rectangles, squares, and triangles, highlighting the differences between congruent and similar shapes. The tutorial also covers lines of symmetry, explaining how they divide shapes into identical parts and how squares can have multiple lines of symmetry.

What does it mean for two polygons to be congruent?

• They have the same shape but different sizes.

• They have the same angles but different side lengths.

• They have the same size and shape.

• They have different shapes but the same size.

Which of the following statements is true about congruent triangles?

• They must have the same area.

• They must have the same perimeter.

• They must have equal side lengths and angle measures.

• They must be oriented in the same direction.

What is a line of symmetry?

• A line that changes the shape of a polygon.

• A line that only exists in circles.

• A line that divides a shape into two different parts.

• A line that divides a shape into two identical parts.

How many lines of symmetry does a square have?

• Three

• Four

• Five

• Two

If a square is folded diagonally, what can be said about its symmetry?

• It loses its symmetry.

• It has no lines of symmetry.

• It gains an additional line of symmetry.

• It has only vertical lines of symmetry.