6.6 Kite Properties

Front

What is a kite in geometry?

Back

A kite is a quadrilateral with two distinct pairs of consecutive congruent sides.

Front

What is the property of the angles in a kite?

Back

The angles between the pairs of congruent sides are equal.

Front

How do you find the measure of an angle in a kite when given the measures of the other angles?

Back

Use the property that the sum of the angles in a quadrilateral is 360 degrees.

Front

What is the measure of angle 1 if angle 2 is 105.5 degrees in a kite?

Back

Angle 1 measures 254.5 degrees, since the sum of angles in a quadrilateral is 360 degrees.

Front

If two angles of a kite are equal, what can be said about the other two angles?

Back

The other two angles must also be equal, and their measures can be found using the sum of angles in a quadrilateral.

Front

What is the relationship between the diagonals of a kite?

Back

The diagonals of a kite intersect at right angles, and one diagonal bisects the other.

Front

If a kite has one pair of angles measuring 46 degrees each, what is the measure of the other pair of angles?

Back

The other pair of angles must measure 134 degrees each, since 360 - (46 + 46) = 268, and 268/2 = 134.

Front

What is the formula for the area of a kite?

Back

The area of a kite can be calculated using the formula: Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Front

How can you determine if a quadrilateral is a kite?

Back

A quadrilateral is a kite if it has two pairs of consecutive sides that are equal in length.

Front

What is the significance of consecutive congruent sides in a kite?

Back

Consecutive congruent sides help to identify the kite and determine properties such as angle measures and symmetry.