KITES

Front

What is a kite in geometry?

Back

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

Front

What is the property of the diagonals in a kite?

Back

The diagonals of a kite are perpendicular to each other.

Front

How many pairs of congruent angles does a kite have?

Back

A kite has one pair of congruent angles, which are the angles between the unequal sides.

Front

What is the relationship between the diagonals and the angles in a kite?

Back

The diagonal that connects the vertices of the congruent angles bisects the other diagonal.

Front

If AC is the longer diagonal of a kite, what can be said about the shorter diagonal BD?

Back

BD is bisected by AC at a right angle.

Front

In a kite, if one diagonal is 44 units long, what is the length of the segments it creates?

Back

Each segment created by the diagonal is half the length of the diagonal, so each segment is 22 units long.

Front

What is the formula for finding 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

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

Back

Area = (10 * 24) / 2 = 120 square units.

Front

What is the significance of the angles in a kite?

Back

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

Front

In kite LMNO, if MO = 13 and LP = 7, how do you find LM?

Back

Use the Pythagorean theorem or properties of kites to find LM, which is approximately 9.55.