Polygons and Symmetry

Symmetry of Quadrilaterals and Introduction to Regular Polygons

Polygon

is any shape

• that is closed

• and has straight lines.

Multiple Select

Select all shapes that are not Polygons.

Quadrilateral

• is a polygon

• that has four sides.

Multiple Select

Select all shapes that are quadrilaterals

Diagonal

• a line segment that goes from one vertex (corner) to another.

• 
  

• 
  

• 
  

Here are some famous quadrilaterals

• Rectangle

• Parallelogram

• Rhombus

• Square

Parallelogram

• opposite sides are congruent

• opposite sides are parallel

Rectangle

• is a parallelogram

• with four right angles (90 degrees)

Rhombus

• is a parallelogram

• with four congruent sides

Square

• is a rhombus

• with four right angles (90 degrees)

Multiple Select

A rectangle is a special type of a parallelogram.

• True

• False

Line of Symmetry

• A line that reflects a figure onto itself

Lines of symmetry

Rectangle

• 2 lines of symmetry

Lines of Symmetry

Parallelogram

• a traditional parallelogram has no lines of symmetry

Lines of Symmetry

Rhombus

• a traditional rhombus has 2 lines of symmetry.

Lines of Symmetry

Square

• has four lines of symmetry.

Multiple Choice

Which of the following shapes has the most number of lines of symmetry?

• Rhombus

• Square

• Rectangle

• Parallelogram

Rotational Symmetry

• A figure that can be carried onto itself by a rotation is said to have rotational symmetry.

Rectangle

Rotational Symmetry

• A rectangle lands onto itself twice during a full rotation.

• First at 180°

• Second at full rotation (360°)

• refer to the video on google meets.

Parallelogram

Rotational Symmetry

• A parallelogram lands onto itself twice during a full rotation.

• First at 180°

• Second at full rotation (360°)

Rhombus

Rotational Symmetry

• A rhombus lands onto itself twice during a full rotation.

• First at 180°

• Second at full rotation (360°)

Square

Rotational Symmetry

• A square lands onto itself four times during a full rotation.

• First at 90°

• Second 180°

• Third at 270°

• and at full rotation at 360°

Multiple Select

A square has rotational symmetry at ... (Select all that apply)

• 45°

• 90°

• 180°

• 270°

• 360°

Open Ended

What is a regular polygon? Refer to https://www.mathsisfun.com/geometry/regular-polygons.html

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