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 is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: \( A = \frac{1}{2} (b_1 + b_2) h \), where \( b_1 \) and \( b_2 \) are the lengths of the bases and \( h \) is the height.

Front

What is a midsegment of a trapezoid?

Back

A midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides and is parallel to the bases.

Front

How do you find the length of the midsegment of a trapezoid?

Back

The length of the midsegment is equal to half the sum of the lengths of the bases: \( m = \frac{b_1 + b_2}{2} \).

Front

What are the properties of an isosceles trapezoid?

Back

In an isosceles trapezoid, the legs are congruent, the base angles are equal, and the diagonals are also congruent.

Front

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

Back

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

Front

If one angle of a trapezoid is 79 degrees, what is the measure of the opposite angle?

Back

The opposite angle is also 79 degrees if the trapezoid is isosceles; otherwise, it can vary.

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

How do you determine if a quadrilateral is a trapezoid?

Back

A quadrilateral is a trapezoid if at least one pair of its opposite sides is parallel.