Geometry Math Test Study Sheet

1. Describe some geometric 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

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
  

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

2. Describe plane symmetry for 3D objects

• A plane of symmetry is a 2D surface that divides a 3D shape into 2 congruent and mirrored halves

3. Describe rotational symmetry for an object and an axis of rotation

• Rotational symmetry is when an object can rotate around on an axis and find a new position that matches its original position

• The axis of rotation is an imaginary line that an object rotates or spins on, serving as the pivot point for that rotation

4. Draw 2D views of a 3D object

5. What is the formula for area of a rectangular shape?

• Area = l x w

6. What is the formula for surface area of a rectangular prism?

• Area = 2 (wl + hl + hw)

7. What is the formula for volume of a cylinder?

• V = πr²h

8. What is the formula for capacity of a container?

• V = l x w x h

9. How can you find the number of rotational symmetry for a shape?

• Number of sides in the base is the number of rotational symmetry for the shape, indicating how many times it can be rotated around a central axis before looking the same.