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 area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) * (Base1 + Base2) * Height.

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

What is the relationship between the bases and the legs of a trapezoid?

Back

In a trapezoid, the lengths of the bases can affect the angles and the lengths of the legs, especially in isosceles trapezoids.

Front

What is the formula for the median of a trapezoid?

Back

The median of a trapezoid is the average of the lengths of the two bases: Median = (Base1 + Base2) / 2.

Front

How do you determine if a trapezoid is isosceles?

Back

A trapezoid is isosceles if its non-parallel sides (legs) are congruent.

Front

What is the significance of congruent angles in trapezoids?

Back

In trapezoids, especially isosceles trapezoids, congruent angles help in determining the properties and relationships between sides.

Front

How can you find the length of a side in a trapezoid using algebra?

Back

You can use algebraic equations based on the properties of trapezoids, such as the Pythagorean theorem or properties of parallel lines.

Front

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

Back

In an isosceles trapezoid, the diagonals are congruent.