Understanding Quadrilaterals

Maria from MathMom.com introduces quadrilaterals, focusing on their classification and properties. She explains the parallelogram family, including rectangles, squares, and rhombuses, and discusses special quadrilaterals like trapezoids, kites, and scalene quadrilaterals. A family tree diagram is used to illustrate relationships between different quadrilaterals, helping to clarify their definitions and properties.

Which of the following is true about a parallelogram?

• It has four right angles.

• It has exactly one pair of parallel sides.

• It has two pairs of parallel sides.

• All sides are of different lengths.

What is a unique property of a square?

• All sides are of different lengths.

• All sides are congruent and it has four right angles.

• It has no parallel sides.

• It has only one pair of parallel sides.

In the family tree of quadrilaterals, which shape is a child of the parallelogram?

• Scalene Quadrilateral

• Kite

• Trapezoid

• Rhombus

Which quadrilateral is known for having at least one pair of parallel sides?

• Trapezoid

• Scalene Quadrilateral

• Kite

• Rhombus

What defines a kite in terms of its sides?

• It has no congruent sides.

• It has two pairs of congruent sides that are adjacent.

• All sides are congruent.

• It has one pair of parallel sides.

Which quadrilateral has no congruent sides?

• Rhombus

• Rectangle

• Scalene Quadrilateral

• Square

If a quadrilateral has side lengths of 4 cm, 4 cm, 4 cm, and 6.5 cm, can it be a parallelogram?

• Yes, because it has two pairs of congruent sides.

• Yes, because it has at least one pair of parallel sides.

• No, because the opposite sides are not congruent.

• No, because it has no right angles.

What is a necessary condition for a quadrilateral to be classified as a trapezoid?

• It must have at least one pair of parallel sides.

• It must have all sides congruent.

• It must have no parallel sides.

• It must have four right angles.

If a quadrilateral has exactly one pair of parallel sides, what is it most likely to be?

• Rhombus

• Kite

• Trapezoid

• Parallelogram

Which statement is true about a quadrilateral with exactly one pair of parallel sides?

• It can be a rhombus.

• It can be a trapezoid.

• It can be a square.

• It can be a parallelogram.