Solving problems of Parallelograms And Trapezoids

• Parallelogram


  A quadrilateral with two pairs of parallel sides
• Solving problems involving parallelograms

  1. Find the value of x and y

  2. Solve for the perimeter
• Properties of parallelograms


  • Opposite sides are congruent
  • Opposite angles are congruent
• Solving for x and y in a parallelogram

  1. Use the property that opposite sides are congruent

  2. Set up and solve equations
• Perimeter of a parallelogram
• Trapezoid


  A quadrilateral with one pair of parallel sides
• Solving problems involving trapezoids

  1. Find the length of the median

  2. Find the measure of the angles
• Properties of trapezoids


  • Opposite angles are supplementary
  • Base angles of an isosceles trapezoid are congruent
• Solving for side lengths and angles in a trapezoid


  Set up and solve equations using the properties
• Kite


  A quadrilateral with two pairs of congruent adjacent sides
• Solving problems involving kites

  1. Find the value of y

  2. Find the length of the sides
• Properties of kites


  • Consecutive sides are congruent
  • Diagonals are perpendicular and bisect each other
• Solving for side lengths and diagonals in a kite

  Set up and solve equations using the properties
• Area formula for a kite