Pre-AP Geometry - Trapezoids & Kites

Front

What is an isosceles trapezoid?

Back

An isosceles trapezoid is a trapezoid in which the non-parallel sides (legs) are equal in length.

Front

How do you find the value of x in an equation involving segments of a trapezoid?

Back

Set the expressions for the segments equal to each other if they represent the same length, and solve for x.

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 AC = 44 in a kite, what is the length of EC if E is the midpoint of AC?

Back

EC is half of AC, so EC = 22.

Front

What is the formula for the length of the midsegment (PM) of a trapezoid?

Back

The length of the midsegment is the average of the lengths of the two bases: PM = (QR + TS) / 2.

Front

In trapezoid QRST, if QR = 16 and PM = 12, what can you infer about TS?

Back

Using the midsegment formula, TS can be calculated as TS = 2 * PM - QR = 2 * 12 - 16 = 8.

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

How do you determine the lengths of the bases in a trapezoid?

Back

The lengths of the bases are the two parallel sides of the trapezoid.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: Area = (1/2) * (Base1 + Base2) * Height.

Front

What is the significance of midpoints in trapezoids?

Back

Midpoints help in finding the lengths of segments and can be used to calculate the midsegment.