Lesson 2: 6-2: Parallelograms

1. What are the properties of parallelograms?
2. How can we use properties of parallelograms to solve problems with given information?

Parallelogram

G.CO.11
Probe theorems about parallelograms.
G.GPE.4
Use coordinates to prove simple geometric theorems algebraically.

A parallelogram is a quadrilateral with both pairs of opposite sides parallel and congruent. Opposite angles of a parallelogram are congruent. Finally, the diagonals of a parallelogram bisect each other, and each diagonal separates the parallelogram into two congruent triangles.

The arm of a basketball hoop can be adjusted to a height of 10ft or 5ft. As the height is adjusted, each pair of opposite sides of the quadrilateral formed by the arms remains parallel.

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 by creating a diagram of the properties of quadrilaterals and parallelograms, identifying the overlapping properties.

Formative Assessment

Textbook in class

Access online textbook and resources through class link.