Warm-Up

Properties of Parallelograms

Discover properties of parallelograms Learn new vocabulary related to vectors

Practice construction skills Develop inductive reasoning and cooperative behavior

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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

Let’s Practice

Let’s Practice