Kites and Trapezoids

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 are the properties of a trapezoid?

Back

A trapezoid is a quadrilateral with at least one pair of parallel sides. The angles on the same side of the non-parallel sides are supplementary.

Front

How do you find the measure of an interior angle in a trapezoid?

Back

To find the measure of an interior angle in a trapezoid, use the property that the sum of the interior angles of any quadrilateral is 360 degrees.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: \( A = \frac{1}{2} (b_1 + b_2) h \), where \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides and \( h \) is the height.

Front

What is the relationship between the angles in a kite?

Back

In a kite, the angles between the unequal sides are equal, and the angles between the equal sides are also equal.

Front

If one angle of a trapezoid is 65 degrees, what is the measure of the adjacent angle if the other pair of angles are equal?

Back

The adjacent angle would be 115 degrees, since the sum of the angles on the same side of the non-parallel sides is 180 degrees.

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

How do you determine the lengths of the diagonals in a kite?

Back

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

Front

What is the measure of angle 1 if angle 2 is 79 degrees in a kite?

Back

If angle 2 is 79 degrees, angle 1 can be found using the properties of the kite, which states that the angles between the unequal sides are equal.

Front

What is the formula for the perimeter of a kite?

Back

The perimeter of a kite can be calculated using the formula: \( P = 2a + 2b \), where \( a \) and \( b \) are the lengths of the two distinct pairs of adjacent sides.