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:
- What is the difference between a trapezoid and a parallelogram?
- How do you calculate the area of a trapezoid?
- What types of quadrilaterals always have right angles?
- Can a trapezoid be classified as a rectangle? Why or why not?
- 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
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