quadrilaterals. “quad” means four. why would all of these shapes be called “quadrilaterals”?...

Quadrilaterals

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Quadrilaterals

“Quad” means four. Why would all of these shapes be called “quadrilaterals”?

Each shape has four sides.

square

parallelogram

rhombus

rectangle

Quadrilaterals

trapezoid

In this slide show you will learn that we identify

quadrilaterals by:

and the length of their sides.

their angles

Page 4: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

Square• A square has four sides that are each the

same length.

• It also has four right angles (perfect corners).

2 3

Page 5: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

Rhombus• A rhombus has four sides that are each the

same length.

• But it has two acute and two obtuse angles.

acute

acuteobtuse

obtuse

Page 6: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

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.

Page 8: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

The only difference between a square and a rhombus is

their angles.

Page 9: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

Trapezoid• A trapezoid has four sides.

• Two sides are parallel.

• The opposing two sides are not parallel.

Those are parallel.

Those are not parallel.

Page 10: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

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.

Page 11: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

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.

Page 12: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

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.

Page 13: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

The only difference between a rectangle and a parallelogram

is their angles.

Use the following table to make comparisons using the

quadrilaterals.

For example, what do a square and a rectangle have in common?

QuadrilateralsSHAPE SIDES ANGLES PARALLEL

LINES

Square 4 same length

4 right angles 2 sets

Rhombus 4 same length

2 acute

2 obtuse

2 sets

Trapezoid different lengths

different angles

1 set

Rectangle 2 long, 2 short

4 right angles 2 sets

Parallelogram 2 long, 2 short

2 acute 2 obtuse

2 sets

Page 16: Quadrilaterals. “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. square parallelogram rhombus rectangle

The End

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