Two- and Three- Dimensional Figures

Characteristics: three dimensions (length, width, & height)

Examples:

Two-Dimensional Shapes

Three-Dimensional Solids

Characteristics: flat, two dimensions (length & width)

Examples:

Two-Dimensional Shapes

Which figure has 5 vertices?

Identify by the number of vertices and the number of sides.

sides: line segments that connect end-to-end

vertices (vertex): corner where the sides meet

side vertex

circle0 sides

triangle3 sides

quadrilateral4 sides

pentagon5 sides

hexagon6 sides

octagon8 sides

Which has a greater number of sides, a quadrilateral or a hexagon?

Which figure has the fewest number of vertices, an octagon or a triangle?

Two-Dimensional Shapes

Which figure has 5 vertices? pentagon

Identify by the number of vertices and the number of sides.

sides: line segments that connect end-to-end

vertices (vertex): corner where the sides meet

side vertex

circle0 sides

triangle3 sides

quadrilateral4 sides

pentagon5 sides

hexagon6 sides

octagon8 sides

Which has a greater number of sides, a quadrilateral or a hexagon? hexagon

Which figure has the fewest number of vertices, an octagon or a triangle? triangle

Special Triangles

How are scalene and equilateral triangles alike?

equilateral

3 equal sides

How are isosceles triangles and equilateral triangles different?

isosceles

at least 2 equal sides

scalene

0 equal sides

Special Triangles

How are scalene and equilateral triangles alike?

equilateral

3 equal sides

Both have 3 sides and 3 vertices, so they are both triangles.

How are isosceles triangles and equilateral triangles different?

isosceles

at least 2 equal sides

scalene

0 equal sides

An isosceles triangle can have a right angle, but an equilateral triangle cannot. An isosceles triangle has 2 equal sides, but an equilateral triangle

has 3 equal sides.

Special Quadrilaterals

How are rectangles and squares alike?

parallelogram

2 pairs ofparallel sides

How are rectangles and trapezoids different?

rectangle

2 pairs ofparallel sides;4 right angles

rhombus

2 pairs ofparallel sides;4 equal sides

square

2 pairs ofparallel sides;4 right angles;4 equal sides

trapezoid

1 pair ofparallel sides

Special Quadrilaterals

How are rectangles and squares alike?

parallelogram

2 pairs ofparallel sides

Both have 4 sides, 2 pairs of parallel sides, and 4 right angles.

How are rectangles and trapezoids different?A rectangle has 2 pairs of parallel sides, while a trapezoid has

only 1 pair.

rectangle

2 pairs ofparallel sides;4 right angles

rhombus

2 pairs ofparallel sides;4 equal sides

square

2 pairs ofparallel sides;4 right angles;4 equal sides

trapezoid

1 pair ofparallel sides

Three-Dimensional Solids

Which solid shown above has 5 vertices and 8 edges?

cube

6 square faces

prism pyramid

cone cylinder sphere

Identify by faces, edges, and vertices.

face

edge

vertex

circular base

2 congruent bases (any polygon); parallelogram faces

2 circular bases connected by a curved surface

1 base (any polygon); triangular faces meet at vertex

has a perfectly round, curved surface

Which solid has no faces, no edges, and no vertices?

How are cones and cylinders alike?

Three-Dimensional Solids

Which solid shown above has 5 vertices and 8 edges? pyramid

cube

6 square faces

prism pyramid

cone cylinder sphere

Identify by faces, edges, and vertices.

face

edge

vertex

circular base

2 congruent bases (any polygon); parallelogram faces

2 circular bases connected by a curved surface

1 base (any polygon); triangular faces meet at vertex

has a perfectly round, curved surface

Which solid has no faces, no edges, and no vertices? sphere

How are cones and cylinders alike? both have circular bases

Describe each object.

Explain how the objects are alike and different.

Choose 2 two-dimensional shapes and 2 three-dimensional solids.

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