Properties of Quadrilaterals

Name that shape.

• trapezoid

• quadrilateral

• parallelogram

• rhombus

Answer explanation

A quadrilateral is a is a closed figure that has four sides.

What is the sum of all angles in a quadrilateral (what do they all add up to)?

• 450 degrees

• 360 degrees

• 270 degrees

• 180 degrees

Answer explanation

The sum of all angles in a quadrilateral is 360 degrees. Each angle in a quadrilateral adds up to a total of 360 degrees.

Is the family tree correct?

• yes

• no

Answer explanation

Parallelograms, trapezoids, and kites are all types of quadrilaterals.

Rhombi and Rectangles are both types of parallelograms. A square can be classified as a rhombus or a rectangle.

There is only one type of kite.

Identify the type of quadrilateral with all sides equal AND opposite sides that are parallel.

• Rectangle

• Rhombus

• Triangle

• Square

Answer explanation

A square has all sides equal and opposite sides that are parallel, making it the correct choice for a quadrilateral with these properties.

What is the measure of each angle in a rectangle.

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

Answer explanation

In a rectangle, each angle measures 90 degrees. This is because a rectangle has four right angles, each measuring 90 degrees.

Determine the properties that make a shape a parallelogram.

• Two pairs of parallel sides

• Three pairs of parallel sides

• One pair of parallel sides

• No parallel sides

Answer explanation

A shape is considered a parallelogram if it has two pairs of parallel sides. This property distinguishes it from other shapes with different side configurations.

My shape is a quadrilateral. It has two sets of parallel lines. It does not have any right angles, but it does have equal sides. Which one is my shape?

• 
• 
• 
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If a quadrilateral has one pair of parallel sides AND both sets of opposite sides are congruent, what type of quadrilateral is it?

• Rectangle

• Parallelogram

• Rhombus

• Isosceles Trapezoid

Answer explanation

If a quadrilateral has one pair of parallel sides and both sets of opposite sides are congruent, it is classified as a Trapezoid.

Find the missing angle in a quadrilateral with angles measuring 80°, 100°, and 120°.

• 110°

• 40°

• 90°

• 60°

Answer explanation

The sum of angles in a quadrilateral is 360°. Subtracting the given angles (80° + 100° + 120°) from 360° gives the missing angle as 60°.

What are the properties of a square?

• Three equal sides and three right angles

• Five equal sides and five right angles

• Four equal sides and four right angles

• Two equal sides and two right angles

Answer explanation

A square has four equal sides and four right angles, making it a quadrilateral with specific properties.