Lesson 6: 6-6: Trapezoids and Kites

1. What are the properties that make a quadrilateral a trapezoid?
2. What are the properties that make a quadrilateral a kite?
3. What method would you use to prove that a trapezoid is isosceles?
4. What distinguishes a trapezoid from a parallelogram?

Trapezoid
Bases
Legs of a Trapezoid
Base Angles
Isosceles Trapezoid
Midsegment of a Trapezoid
Kite

G.GPE.4
Use coordinates to prove simple geometric theorems algebraically.
G.MG.3
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

A trapezoid is a quadrilateral with exactly one pair of parallel sides, called bases. The nonparallel sides are called legs. The median joins the midpoints of the legs of a trapezoid and is parallel to the bases. Its measure is one half the sum of the measures of the bases.

In gymnastics, vaulting boxes made out of high compression foam are used as spotting platforms, vaulting horses, and steps. The left and right side of each section is a a trapezoid.

When using the Slope and Distance Formulas, be careful with the signs of the numbers, and also that x- and y-values in the correct order.

Students approaching grade level can be given practice problems in small groups to work with other students or directly with the teacher.
Students beyond grade level can make deeper connections to a vocabulary word like "median" that has different meanings within mathematics. Students can compare and contrast the meanings of the word median in both geometry and statistics.

Formative Assessment

Textbook in class

Access online textbook and resources through class link.