Trapezoids

Front

What is a trapezoid?

Back

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

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

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

Back

To find the measure of an angle in a trapezoid, you can use the properties of supplementary angles and the fact that the sum of the interior angles of any quadrilateral is 360°.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two parallel sides and h is the height.

Front

What is the relationship between the bases of a trapezoid and its angles?

Back

The angles adjacent to each base of a trapezoid are supplementary, meaning they add up to 180°.

Front

How do you determine if a trapezoid is isosceles?

Back

A trapezoid is isosceles if its non-parallel sides (legs) are of equal length.

Front

What is the significance of congruent legs in an isosceles trapezoid?

Back

The congruent legs in an isosceles trapezoid ensure that the base angles are equal, which is a key property used in solving problems related to isosceles trapezoids.

Front

How can you find the length of a segment in a trapezoid?

Back

To find the length of a segment in a trapezoid, you may need to use algebraic equations based on the properties of the trapezoid and the relationships between its sides and angles.

Front

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

Back

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

Front

How do you solve for x in a trapezoid problem?

Back

To solve for x in a trapezoid problem, set up an equation based on the properties of the trapezoid and solve for the variable.