Geometry Math Test Study Sheet

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13 Terms

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Prism

A solid geometric figure with two parallel and congruent bases connected by rectangular faces.

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Properties of Prisms

  • 2 congruent, polygonal bases identical to each other that can be any shape parallel to each other

  • Joined with sides that are quadrilaterals

  • No curved surfaces

  • Named for the shape of its base

  • May be right-angled or oblique

  • The height of a prism is the distance between its bases

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Pyramid

A solid figure with one base (any shape) and triangular sides that meet at a vertex.

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Properties of Pyramids

  • One base that can be any shape

  • Vertex that is parallel to the base and connects to all edges of the base

  • Triangular sides

  • Named for the shape of its base

  • May be right-angled or oblique

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Cylinder

A solid figure with two parallel circular bases and no vertices.

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Properties of Cylinders

  • No vertices

  • 2 circular bases parallel to each other

  • One quadrilateral side

  • May be circular; edges may be curved, straight, or some combination of curved and straight.

  • May be right-angled or oblique

  • The height of a cylinder is the distance between its bases

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Plane Symmetry

A 2D surface dividing a 3D shape into two congruent and mirrored halves.

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Rotational Symmetry

When an object can rotate around an axis and find a new position that matches its original position.

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Axis of Rotation

An imaginary line that an object rotates on, serving as the pivot point for that rotation.

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Area of a Rectangle

The formula is Area = l x w.

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Surface Area of a Rectangular Prism

The formula is Area = 2(wl + hl + hw).

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Volume of a Cylinder

The formula is V = πr²h.

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Capacity of a Container

The formula is V = l x w x h.