Math Problem Statement

create a 2D shape with all but one right angles

Solution

A 2D shape that has all but one right angle is called a trapezoid (or trapezium in some regions). Specifically, this shape has at least one pair of parallel sides, and only one of its angles is not a right angle, while the others are 90°.

To describe it clearly:

  • The trapezoid has two parallel sides.
  • Three of the angles are right angles (90°).
  • One of the angles is not a right angle (can be less than or greater than 90°).

Would you like to see a drawing of this shape?


Here are five related questions to expand on this topic:

  1. What is the difference between a trapezoid and a parallelogram?
  2. How do you calculate the area of a trapezoid?
  3. What types of quadrilaterals always have right angles?
  4. Can a trapezoid be classified as a rectangle? Why or why not?
  5. How does the length of the parallel sides affect the trapezoid's properties?

Tip: To calculate the area of a trapezoid, you need the lengths of the parallel sides and the height.

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Math Problem Analysis

Mathematical Concepts

Geometry
Quadrilaterals
Angles

Formulas

Area of a trapezoid: (Base1 + Base2) * Height / 2

Theorems

Properties of quadrilaterals
Angle sum property of quadrilaterals

Suitable Grade Level

Grades 5-7