Quadrilateral angle properties

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four edges (sides) and four vertices (corners).

Front

What are the properties of an isosceles trapezoid?

Back

An isosceles trapezoid has one pair of parallel sides and the non-parallel sides (legs) are equal in length. The angles adjacent to each base are equal.

Front

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

Back

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

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are both equal in length and parallel.

Front

What are the properties of angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180 degrees).

Front

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

Back

To find the measure of an angle in a parallelogram, use the property that opposite angles are equal and adjacent angles are supplementary.

Front

If one angle of a parallelogram is 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are each 110 degrees (since 70 + 110 = 180).

Front

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

Back

In an isosceles trapezoid, the angles adjacent to each base are equal, and the angles on the same side of the trapezoid are supplementary.

Front

How do you solve for x in an isosceles trapezoid?

Back

Set up equations based on the properties of the trapezoid, such as the equality of angles or the sum of angles, and solve for x.

Front

What is the measure of angle W if x = 12 in trapezoid TWRS?

Back

If x = 12, then angle W = 120 degrees.