Congruent Figures and Lines of Symmetry

The video tutorial introduces key geometry concepts, focusing on congruence and symmetry. It explains congruence in polygons, emphasizing that congruent shapes have identical sizes and angles. The tutorial differentiates between congruent and similar shapes, using examples of squares and triangles. It then introduces the concept of lines of symmetry, explaining how they divide shapes into mirror images. The video explores symmetry in various shapes, including rectangles, squares, triangles, and circles, highlighting the infinite lines of symmetry in circles. The tutorial aims to enhance geometry vocabulary and understanding of these fundamental concepts.

What does it mean for two polygons to be congruent?

• They have the same shape but different sizes.

• They have the same size and shape.

• They have the same angles but different side lengths.

• They have different shapes but the same size.

Which of the following statements is true about similar shapes?

• They have different sizes and shapes.

• They have the same size but different shapes.

• They have the same shape but not necessarily the same size.

• They have the same size and shape.

If two triangles have the same angles and side lengths, what can we say about them?

• They are neither similar nor congruent.

• They are identical.

• They are congruent.

• They are similar.

What is a line of symmetry?

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

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

• A line that only divides circles.

• A line that divides a shape into four parts.

Which shape has an infinite number of lines of symmetry?

• Triangle

• Square

• Rectangle

• Circle

How many lines of symmetry does a square have?

• Two

• One

• Three

• Four

What is true about the lines of symmetry in an equilateral triangle?

• It has one line of symmetry.

• It has no lines of symmetry.

• It has three lines of symmetry.

• It has two lines of symmetry.