Quadrilaterals

Each shape has four sides. Quadrilaterals “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. trapezoid square rhombus parallelogram rectangle

Today we will learn how to identify quadrilaterals by: their angles and the length of their sides.

Square A square has four sides that are each the same length. It also has four right angles (perfect corners). 1 4 3 2

Rhombus A rhombus has four sides that are each the same length. But it has two acute and two obtuse angles. obtuse acute acute obtuse

Square and Rhombus A square and a rhombus both have four sides that are the same length. So, how are they different?

Square and Rhombus A rhombus can be thought of as a slanted square. If we push on the left-hand side of this square, it might end up looking like… a rhombus.

The only difference between a square and a rhombus is their angles.

Trapezoid A trapezoid has four sides. Two sides are parallel. The opposing two sides are not parallel. Those are not parallel. Those are parallel.

Rectangle A rectangle has four sides – two long sides and two short sides. Two sides are parallel. The opposing two sides are also parallel. It also has four right angles.

Parallelogram A parallelogram has four sides – two long sides and two short sides. Two sides are parallel. The opposing two sides are also parallel. But, it has two acute and two obtuse angles.

Rectangle and Parallelogram A parallelogram can be thought of as a slanted rectangle. If we push on the left-hand side of this rectangle, it might end up looking like… a parallelogram.

The only difference between a rectangle and a parallelogram is their angles.

Use the following table to make comparisons using the quadrilaterals Use the following table to make comparisons using the quadrilaterals. For example, what do a square and a rectangle have in common?

Quadrilaterals SHAPE SIDES ANGLES PARALLEL LINES Square Rhombus Trapezoid Rectangle Parallelogram

Quadrilaterals SHAPE SIDES ANGLES PARALLEL LINES Square 4 same length 4 right angles 2 sets Rhombus 2 acute 2 obtuse Trapezoid different lengths different angles 1 set Rectangle 2 long, 2 short Parallelogram 2 acute 2 obtuse