Warm-Up

Properties of Parallelograms Discover properties of parallelograms Learn new vocabulary related to vectors Practice construction skills Develop inductive reasoning and cooperative behavior P

What is a Parallelogram? A parallelogram is a quadrilateral whose opposite sides are parallel

Properties of Parallelograms To discover the properties of a parallelogram, let’s first construct one Use the blue lines on your paper to create the first two sides – Make sure the lines are at least 6 cm apart Next, use the two opposite sides of your ruler to create the other two lines of the parallelogram

What’s Going on with the Angles Measure all of the angles of your parallelogram Notice anything!?!

What else do we notice? Specifically, what is happening with the consecutive angles?

Let’s Practice This means that if we are only given one angle of a parallelogram, we can find all the other angles Find a, b, and c c

What Else!?!? Measure the lengths of your parallelogram to the nearest cm. What can we notice about the opposite sides of a parallelogram?

WHAT ELSE!?!?!? Now, draw in the diagonals of your parallelogram What do you notice about the diagonals? (hint: measure all 4 new segments)

Vector Diagrams A vector is a quantity that has both magnitude and direction.

Vector Diagrams Vectors describe quantities in physics, such as velocity, acceleration, and force. You can represent a vector by drawing an arrow. The length and direction of the arrow represent the magnitude and direction of the vector. For example, a velocity vector tells you an airplane’s speed and direction. The lengths of vectors in a diagram are proportional to the quantities they represent.

Let’s Practice