4th Grade Geometry

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Square

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4

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Square

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Sides

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Square

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Sides

4

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4

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Square

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Additional Attributes:

Sides

4

Vertices

4

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Additional Attributes:

• All sides are equal

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Square

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Additional Attributes:

• All sides are equal
• All interior angles are 90 degrees

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Square
Sides

4

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Additional Attributes:

• All sides are equal
• All interior angles are 90 degrees
• Opposite sides are parallel

Square

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Sides

4

Vertices

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Additional Attributes:

• All sides are equal
• All interior angles are 90 degrees
• Opposite sides are parallel
• Four lines of symmetry

Square

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Sides

4

Vertices

4

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Additional Attributes:

• All sides are equal
• All interior angles are 90 degrees
• Opposite sides are parallel
• Two lines of symmetry
• A square is a quadrilateral

Square

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Sides

4

Vertices

4

2

1

3

4

Rectangle

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Rectangle

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Rectangle

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Rectangle

Additional Attributes:

Sides

4

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4

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Rectangle

Additional Attributes:

• Opposite sides are equal

Sides

4

Vertices

4

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Rectangle

Additional Attributes:

• Opposite sides are equal
• All interior angles are 90 degrees

Sides

4

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4

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Rectangle

Additional Attributes:

• Opposite sides are equal
• All interior angles are 90 degrees
• Opposite sides are parallel

Sides

4

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4

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Rectangle

Additional Attributes:

• Opposite sides are equal
• All interior angles are 90 degrees
• Opposite sides are parallel
• Two lines of symmetry

Sides

4

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4

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Rectangle

Additional Attributes:

• Opposite sides are equal
• All interior angles are 90 degrees
• Opposite sides are parallel
• Two lines of symmetry
• A rectangle is a quadrilateral

Sides

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2

1

3

4

Rectangle

Additional Attributes:

• Opposite sides are equal
• All interior angles are 90 degrees
• Opposite sides are parallel
• Two lines of symmetry
• A rectangle is a quadrilateral
• A square is a rectangle, but a

rectangle is not a square.

Sides

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4

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Triangle

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Sides

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Triangle

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Sides

3

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Triangle
Sides

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Triangle

Additional Attributes:

Sides

3

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3

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Triangle

Additional Attributes:

• The sum of the interior angles is

equal to 180 degrees

Sides

3

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3

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Triangle

Additional Attributes:

• The sum of the interior angles is

equal to 180 degrees

• There are four types of triangles

Sides

3

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Triangle
Types

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Isosceles Triangle:

Two sides are equal.

Two angles are

equal.

Scalene Triangle:

All sides and angles

are different.

Equilateral
Triangle:

All sides and angles

are equal.

Right Triangle:

One angle is always

90 degrees.

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Pentagon

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Sides

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Sides

5

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Pentagon

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Sides

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Pentagon

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Additional Attributes:

Sides

5

Vertices

5

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Pentagon

Next

Additional Attributes:

• The sum of all interior angles is

equal to 540 degrees

Sides

5

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5

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Pentagon

Sides

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Hexagon

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Sides

6

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Hexagon

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Sides

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Hexagon

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Additional Attributes:

Sides

6

Vertices

6

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Hexagon

Back

Additional Attributes:

• The sum of all interior angles is

equal to 540 degrees

Sides

6

Vertices

6

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Hexagon

Sides

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Octagon

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Sides

8

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Octagon

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Sides

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Vertices

8

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Octagon

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Additional Attributes:

Sides

8

Vertices

8

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Octagon

Additional Attributes:

• The sum of all interior angles is

equal to 1,080 degrees

Sides

8

Vertices

8

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Octagon

Naming
Polygons

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Polygons derive their names from Greek. In fact, the word ‘polygon’ is made from two
Greek words – ‘poly’ (meaning many) and ‘gon’ (meaning angle).
The first part of a 2-D shape’s name is a Greek word for a number, followed by the word
‘angle’ or the Greek equivalent, ‘gon’.

Prefix number + a + gon = shape name

pent

hex

hept

oct

non

dec

hendec

5

6

7

8

9

10

11

Sides

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Rhombus

Sides

4

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Rhombus

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Sides

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4

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Rhombus

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Additional Attributes:

Sides

4

Vertices

4

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Rhombus

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Additional Attributes:

• All sides are equal

Sides

4

Vertices

4

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Rhombus

Additional Attributes:

• All sides are equal
• Opposite interior angles are equal

Sides

4

Vertices

4

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Rhombus

Next

Additional Attributes:

• All sides are equal
• Opposite interior angles are equal
• Opposite sides are parallel

Sides

4

Vertices

4

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Rhombus

Next

Additional Attributes:

• All sides are equal
• Opposite interior angles are equal
• Opposite sides are parallel
• Two lines of symmetry

Sides

4

Vertices

4

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Rhombus

Next

Additional Attributes:

• All sides are equal
• Opposite interior angles are equal
• Opposite sides are parallel
• Two lines of symmetry
• A rhombus is a quadrilateral

Sides

4

Vertices

4

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Rhombus

Next

2

1

3

4

Additional Attributes:

• All sides are equal
• Opposite interior angles are equal
• Opposite sides are parallel
• Two lines of symmetry
• A rhombus is a quadrilateral
• A square is a rhombus, but a

rhombus is not a square.

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Rhombus

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Trapezoid

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Trapezoid

Sides

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Trapezoid

Sides

4

Vertices

4

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Additional Attributes:

Trapezoid

Sides

4

Vertices

4

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Additional Attributes:

• One pair of parallel sides

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Trapezoid

Sides

4

Vertices

4

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Additional Attributes:

• One pair of parallel sides
• One line of symmetry

Trapezoid

Sides

4

Vertices

4

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Additional Attributes:

• One pair of parallel sides
• One line of symmetry
• A trapezoid is a quadrilateral

Trapezoid

2

1

3

4

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Parallelogra

m

Sides

4

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Parallelogra

m

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Sides

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Parallelogra

m

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Sides

4

Vertices

4

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Parallelogra

m

Additional Attributes:

Sides

4

Vertices

4

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Parallelogra

m

Additional Attributes:

• Opposite sides are equal

Sides

4

Vertices

4

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Parallelogra

m

Additional Attributes:

• Opposite sides are equal
• Opposite angles are equal

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Sides

4

Vertices

4

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Parallelogra

m

Additional Attributes:

• Opposite sides are equal
• Opposite angles are equal
• Consecutive angles add up to 180

degrees (supplementary angles)

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Sides

4

Vertices

4

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Parallelogra

m

Additional Attributes:

• Opposite sides are equal
• Opposite angles are equal
• Consecutive angles add up to 180

degrees (supplementary angles)

• Opposite sides are parallel

Next

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Sides

4

Vertices

4

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Parallelogra

m

Additional Attributes:

• Opposite sides are equal
• Opposite angles are equal
• Consecutive angles add up to 180

degrees (supplementary angles)

• Opposite sides are parallel
• A parallelogram is a quadrilateral

Next

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2

1

3

4

Sides

4

Vertices

4

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Parallelogra

m

Additional Attributes:

• Opposite sides are equal
• Opposite angles are equal
• Consecutive angles add up to 180

degrees (supplementary angles)

• Opposite sides are parallel
• A parallelogram is a quadrilateral
• There are no lines of symmetry

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Circle

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Circumferenc
e
Diamete
r
Radiu
s

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Sides

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0

Circle

Circumferenc
e
Diamete
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Radiu
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Circle

Circumferenc
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Diamete
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Radiu
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Sides

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0

Circle

Circumferenc
e
Diamete
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Radiu
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Additional Attributes:

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Sides

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Circle

Circumferenc
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Radiu
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Sides

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Diamete
r

Circle

Circumferenc
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Radiu
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Sides

Vertices

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Diamete
r

Circle

Circumferenc
e

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Sides

Vertices

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Diamete
r
Radiu
s

Circle

Circumferenc
e
Diamete
r

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Sides

Vertices

0

0

Radiu
s

Circle

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Circumferenc
e
Diamete
r
Radiu
s

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Additional Attributes:

• The diameter and radius are

always measured through/from
the center of the circle.

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Sides

Vertices

0

0

Sides

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Kite

Sides

4

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Kite

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Sides

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Kite

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Additional Attributes:

Sides

4

Vertices

4

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Kite

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Additional Attributes:

• Adjacent sides are equal

Sides

4

Vertices

4

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Kite

Sides

4

Vertices

4

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Kite

Additional Attributes:

• Adjacent sides are equal
• Opposite interior angles are equal

Sides

4

Vertices

4

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Kite

Additional Attributes:

• Adjacent sides are equal
• Opposite interior angles are equal
• One line of symmetry

Sides

4

Vertices

4

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Kite

Additional Attributes:

• Adjacent sides are equal
• Opposite interior angles are equal
• One line of symmetry
• A kite is a quadrilateral
2

1

3

4

Sides

4

Vertices

4

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Kite

Additional Attributes:

• Adjacent sides are equal
• Opposite interior angles are equal
• One line of symmetry
• A kite is a quadrilateral
• A rhombus is a kite, but a kite is

not a rhombus.