# Two- and Three- Dimensional Figures

## Presentation on theme: "Two- and Three- Dimensional Figures"— Presentation transcript:

Two- and Three- Dimensional Figures

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)

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?

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

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

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.

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

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

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

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.