1. Two- and Three- Dimensional Figures

2. Two-Dimensional Shapes Three-Dimensional Solids
Characteristics: three dimensions (length, width, & height)
Examples:
Two-Dimensional Shapes
Three-Dimensional Solids
Characteristics: flat, two dimensions (length & width)

3. 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
circle
0 sides
triangle
3 sides
quadrilateral
4 sides
pentagon
5 sides
hexagon
6 sides
octagon
8 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?

4. 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
circle
0 sides
triangle
3 sides
quadrilateral
4 sides
pentagon
5 sides
hexagon
6 sides
octagon
8 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

5. Special Triangles How are scalene and equilateral triangles alike?
3 equal sides
How are isosceles triangles and equilateral triangles different?
isosceles
at least 2 equal sides
scalene
0 equal sides

6. Special Triangles How are scalene and equilateral triangles alike?
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.

7. Special Quadrilaterals
How are rectangles and squares alike?
parallelogram
2 pairs of
parallel sides
How are rectangles and trapezoids different?
rectangle
parallel sides;
4 right angles
rhombus
4 equal sides
square
4 right angles;
trapezoid
1 pair of

8. Special Quadrilaterals
How are rectangles and squares alike?
parallelogram
2 pairs of
parallel 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
parallel sides;
4 right angles
rhombus
4 equal sides
square
4 right angles;
trapezoid
1 pair of

9. 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?

10. 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

11. Explain how the objects are alike and different.
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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