Kites and Trapezoids

Definition of a kite in geometry.

• A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal.

• A kite is a polygon with four equal sides.

• A kite is a triangle with two equal angles.

• A kite is a circle with a radius equal to the length of one side.

Definition of an isosceles trapezoid.

• A trapezoid with all sides equal in length.

• A trapezoid in which the non-parallel sides (legs) are equal in length.

• A trapezoid with one pair of parallel sides longer than the other.

• A trapezoid that has no parallel sides.

If one angle of an isosceles trapezoid is 117 degrees, what is the measure of the adjacent angle?

• 63 degrees

• 54 degrees

• 72 degrees

• 45 degrees

Solve for x in the trapezoid with the midsegment: x = ?

• 10

• 12

• 13

• 15

Kite LMNO is shown. Solve for x: x = ?

• 45

• 60

• 75

• 90

The legs of an isosceles trapezoid are _____.

• parallel

• congruent

• perpendicular

• equal

In a kite, how do the angles between the unequal sides relate?

• The angles between the unequal sides are equal.

• The angles between the unequal sides are supplementary.

• The angles between the unequal sides are complementary.

• The angles between the unequal sides are always obtuse.

What is the significance of the midsegment in a trapezoid?

• It connects the midpoints of the legs and is parallel to the bases.

• It bisects the angles of the trapezoid.

• It is the longest side of the trapezoid.

• It divides the trapezoid into two equal areas.

The diagonals in a kite __________.

• are equal in length.

• are perpendicular.

• are parallel to each other.

• bisect each other at right angles.

Properties of the diagonals in a kite.

• The diagonals of a kite are parallel and equal in length.

• The diagonals of a kite are perpendicular and one diagonal bisects the other.

• The diagonals of a kite are congruent and bisect each other.

• The diagonals of a kite are not related to each other.