Properties of Trapezoids
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 12: Constructions and Scale Drawings) learn the properties of trapezoids: a quadrilateral with exactly one pair of parallel sides (bases) and two non-parallel sides (legs). In isosceles trapezoids, legs are congruent and base angles are congruent.
Key Concepts
A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are called bases, and the non parallel sides are called legs. In an isosceles trapezoid, the legs are congruent and the base angles are congruent.
Common Questions
What is a trapezoid in 7th grade geometry?
A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are called bases, and the non-parallel sides are called legs.
What is an isosceles trapezoid?
An isosceles trapezoid has congruent (equal) legs. It also has congruent base angles—the two angles at each base are equal.
How is a trapezoid different from a parallelogram?
A trapezoid has exactly one pair of parallel sides. A parallelogram has two pairs of parallel sides. Trapezoids are not parallelograms.
What chapter in Big Ideas Math Advanced 2 covers properties of trapezoids?
Chapter 12: Constructions and Scale Drawings in Big Ideas Math Advanced 2 (Grade 7) covers properties of trapezoids.
How do you find the area of a trapezoid?
The area of a trapezoid is A = (1/2) x (b1 + b2) x h, where b1 and b2 are the parallel bases and h is the height (perpendicular distance between bases).