Al says you can define a right trapezoid as a quadrilateral...

Al says you can define a right trapezoid as a
quadrilateral with exactly two right angles.
Provide a counterexample by naming four points for the vertices of a quadrilateral that has two right angles but is not a right trapezoid. Draw a sketch of your figure.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Quadrilateral

A quadrilateral is a polygon with four edges (sides) and four vertices (corners). It forms the basic structure for many more complex geometric figures, and its properties depend on the measures of its sides, angles, and the relationships between them.

Right Angle

A right angle is exactly 90 degrees. Right angles are fundamental in defining many geometric shapes and play a crucial role in the classification of quadrilaterals, as they convey important information about the shape's symmetry and alignment.

Trapezoid

A trapezoid is a quadrilateral that has at least one pair of parallel sides. This concept is important in understanding how side parallelism affects the overall properties of the shape, and different definitions may emphasize different aspects, such as the number of right angles present.

Counterexample

A counterexample is a specific case that disproves a general statement by showing that the conditions given are not sufficient to guarantee a particular property. It is a critical tool in mathematical reasoning, used to demonstrate that a general claim, such as the definition of a right trapezoid, does not hold universally.

Transcript

Please give Ace some feedback