Properties of Special Parallelograms and Trapezoids

Find the value of x.

• x = 1

• x = 3

• x = 2

• x = 0

Using the properties of the special parallelogram, solve for x and y.

• x = 2, y = 1

• x = 2, y = 0

• x = 1, y = 1

• x = 1, y = 0

Find the length of the midsegment of trapezoid ABCD.

Mathematical Equivalence

ON

The diagonals of a parallelogram

• are always congruent

• bisect each other

• are never congruent

• parallel

A rhombus is a parallelogram with 

• four congruent sides

• four congruent diagonals

• four acute angles

• four congruent angles

Which of the following properties is true about trapezoids?

• Diagonals bisect each other.

• Exactly one pair of parallel sides.

• Opposite sides are parallel.

Find the value of x.

• 11

• 15

• 7

• 4

Find the value of x given the trapezoid TRAP.

Mathematical Equivalence

ON

WXYZ is a trapezoid. Find the value of x.

• 3

• 5

• 7

• 9

Which of the following properties is true about parallelograms?

• Base angles are congruent.

• Diagonals are congruent.

• Opposite sides are parallel.