Math 310

1
Math 310
Sections 10 11 Quadrilaterals Review
2
Trapezoid

• Special Notes!
• All the properties of a quadrilateral hold.
• The length of the mid-segment is the average of
  the lengths of the parallel sides.
• The mid-segment is parallel to the bases.

Area
Definition A quadrilateral with a pair of
parallel sides.
3
Kite

• Special Notes!
• All the properties of a quadrilateral hold.
• Diagonals are perpendicular.
• The diagonal between non-vertex angles is
  bisected by the diagonal between vertex angles.
• Angles between congruent sides are called vertex
  angles.
• Angle between non-congruent sides are called
  non-vertex angles.
• Non-vertex angles are congruent.
• The diagonal between vertex angles bisects the
  vertex angles.

NON-VERTEX ANGLES
VERTEX ANGLES
Area
Definition A quadrilateral with two
non-overlapping pairs of congruent adjacent sides.
4
Parallelogram
Definition A quadrilateral with opposites sides
parallel.

• Special Notes!
• All the properties of a trapezoid hold.
• Opposite sides are parallel.
• Adjacent angles are supplementary.
• Opposite sides are congruent.
• Opposite angles are congruent.
• Diagonals bisect each other.
• If one angle is a right angle, then all angles
  are right angles.

Area
5
Rhombus
Area

• Special Notes!
• All the properties of a parallelogram and a kite
  hold.
• All sides are congruent.
• Diagonals are perpendicular bisectors.

Definition A quadrilateral with four congruent
sides.
6
Rectangle

• Special Notes!
• All the properties of a parallelogram hold.
• It has an interior right angle.
• All the angles are right-angles.

Definition A parallelogram with one right angle.
Area
7
Square
Definition A rhombus that is a rectangle.
Area

• Special Notes!
• All the properties of a parallelogram hold.
• It a regular quadrilateral.

• A square is also a trapezoid.
• A square is also a parallelogram.
• A square is also a rhombus.
• A square is also a rectangle.
• A square is also a kite.