Quadrilaterals

Front

What is a trapezoid?

Back

A trapezoid is a quadrilateral with exactly one set of parallel sides.

Front

Are the angles in a square congruent?

Back

Yes, in a square, all angles are congruent, meaning \( \angle GAB \) is congruent to \( \angle GBA \).

Front

What is the length of side \( \overline{AB} \) in a rhombus if \( \overline{AD} = 24cm \)?

Back

The length of side \( \overline{AB} \) is also 24cm in a rhombus.

Front

In rhombus DOGS, if \( DO = 2p + 9 \) and \( OG = 3p - 6 \), how do you find \( GS \)?

Back

Set \( DO = OG \) to find \( p \), then use it to calculate \( GS \). The answer is 39.

Front

What are the properties of a rhombus?

Back

A rhombus has all sides equal in length, opposite angles are equal, and its diagonals bisect each other at right angles.

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

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

Back

In a trapezoid, the sum of the angles on the same side of the non-parallel sides is 180 degrees.

Front

What is the relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are equal in length and bisect each other.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: \( A = \frac{1}{2} (b_1 + b_2) h \), where \( b_1 \) and \( b_2 \) are the lengths of the parallel sides and \( h \) is the height.

Front

What is a parallelogram?

Back

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