MATH

1. SOLVING PROBLEMS INVOLVING
PARALLELOGRAMS, TRAPEZOIDS
AND KITES
In the previous lessons, we have learned about these
three types of quadrilaterals: the parallelogram, the
trapezoid, and the kite. We have also learned about
each of their properties. It is important that you, as a
student on geometry, remember these properties
since they are useful in solving problems on
geometry.

2. Parallelogram
• A parallelogram is a quadrilateral in which both pairs of
opposite sides are parallel.
• The properties of a parallelogram are:
• The opposite sides are congruent.
• The opposite angles are congruent.
• The non-opposite angles are supplementary angles.
• The diagonals bisect each other.
• Each diagonal divides a parallelogram into two congruent
triangles.

3. Trapezoid
• A trapezoid is a quadrilateral with exactly one pair of
parallel sides, while an isosceles trapezoid is a
trapezoid with congruent non-parallel sides.
• The median of a trapezoid is equal to half the sum of the
lengths of the two bases.
• The properties of an isosceles trapezoid are:
• The base angles are congruent.
• The diagonals are congruent.

4. Kite
• A kite is a quadrilateral with two distinct pairs of adjacent
sides that are congruent.
• The properties of a kite are:
• The non-vertex angles are congruent.
• The segment connecting the two vertex angles bisects the
two vertex angles.
• The diagonals are perpendicular.
• The segment connecting the two vertex angles bisects the
segment connecting the two non-vertex angles.