GU 6.1 Properties of Trapezoids

Front

What is an isosceles trapezoid?

Back

An isosceles trapezoid is a trapezoid in which the non-parallel sides (legs) are equal in length, and the base angles are congruent.

Front

What are the properties of an isosceles trapezoid?

Back

1. One pair of opposite sides is parallel (the bases). 2. The non-parallel sides (legs) are congruent. 3. The diagonals are congruent. 4. The base angles are 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 70 degrees, what is the measure of the opposite angle?

Back

The opposite angle is also 70 degrees, as the sum of the angles in a trapezoid is 360 degrees.

Front

How do you find the length of the diagonals in an isosceles trapezoid?

Back

Use the formula: d = √(a² + h²), where 'a' is the length of the base and 'h' is the height.

Front

What is the relationship between the angles of an isosceles trapezoid?

Back

The base angles are equal, and the sum of the angles on the same side of a leg is 180 degrees.

Front

If the bases of an isosceles trapezoid are 10 cm and 6 cm, what is the height if the legs are 5 cm?

Back

Use the Pythagorean theorem to find the height: h = √(5² - ((10-6)/2)²) = √(25 - 4) = √21 cm.

Front

What is the formula for the area of a trapezoid?

Back

Area = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the bases and h is the height.

Front

What is the measure of the angles in a right trapezoid?

Back

In a right trapezoid, two angles are 90 degrees, and the other two angles are supplementary (sum to 180 degrees).

Front

If the lengths of the bases of a trapezoid are 12 cm and 8 cm, what is the area if the height is 4 cm?

Back

Area = (1/2) * (12 + 8) * 4 = 40 cm².