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**Two- and Three- Dimensional Figures**

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**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)

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**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?

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**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

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**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

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**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.

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**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

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**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

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**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?

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**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

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**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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