6.6 Kite Properties

Front

What are the properties of the diagonals in a kite?

Back

The diagonals in a kite are perpendicular to each other.

Front

What is a kite in geometry?

Back

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

Front

How do the angles in a kite relate to each other?

Back

The angles between the unequal sides are equal, and the angles between the equal sides are also equal.

Front

What is the relationship between the diagonals of a kite?

Back

One diagonal bisects the other diagonal.

Front

If one angle of a kite is 65 degrees, what is the measure of the opposite angle?

Back

The opposite angle is also 65 degrees.

Front

In a kite, if one pair of opposite angles is 110 degrees, what is the measure of the other pair?

Back

The other pair of opposite angles is 70 degrees.

Front

What is the formula for finding the area of a kite?

Back

Area = \frac{1}{2} \times d_1 \times d_2, where d_1 and d_2 are the lengths of the diagonals.

Front

If the lengths of the diagonals of a kite are 10 cm and 24 cm, what is the area?

Back

Area = \frac{1}{2} \times 10 \times 24 = 120 cm^2.

Front

What is the sum of the interior angles of a kite?

Back

The sum of the interior angles of a kite is 360 degrees.

Front

If the diagonals of a kite intersect at point O, what can be said about the segments created?

Back

The segments created by the intersection of the diagonals are equal in length.