1. Lesson 2

1.6. Explore 2

Mathematics 30-3 Module 5

Module 5: Geometry

 

From Try This 1 and Try This 2, you should have noticed that quadrilaterals can be classified according to the properties of the quadrilateral.

 

Square This is an illustration of a square.
  • All sides are equal in length.
  • All angles are 90°.
  • Opposite sides are parallel.
  • Diagonals are equal in length.
  • Diagonals intersect at 90°.
Rectangle This is an illustration of a rectangle.
  • Opposite sides are equal in length.
  • All angles are 90°.
  • Opposite sides are parallel.
  • Diagonals are equal in length.
Trapezoid This is an illustration of a trapezoid.
  • One pair of opposite sides are parallel.
Parallelogram This is an illustration of a parallelogram.
  • Opposite sides are equal in length.
  • Opposite sides are parallel.
  • Opposite angles are equal.
Rhombus This is an illustration of a rhombus.
  • All sides are equal in length.
  • Opposite sides are parallel.
  • Opposite angles are equal.
  • Diagonals intersect at 90°.
Kite This is an illustration of a kite.
  • Two shorter sides are equal in length.
  • Two longer sides are equal in length.
  • Opposite angles between one short side and one long side are equal.
  • Diagonals intersect at 90°.
Right Trapezoid This is an illustration of a right trapezoid.
  • One pair of opposite sides are parallel.
  • Two angles measure 90°.
Isosceles Trapezoid This is an illustration of a isosceles trapezoid.
  • One pair of opposite sides are parallel.
  • Sides that are not parallel are equal in length.
  • Angles between equal sides and one parallel side are equal.
  • Diagonals are equal in length.


caution
Some quadrilaterals can be classified as more than one specific type of quadrilateral. For example, a square is a rhombus, but a rhombus is not a square because every angle in a square must be equal to 90°. Another example involves the rectangle. A rectangle is a parallelogram, but a parallelogram is not a rectangle because every angle in a rectangle must be equal to 90°.