Properties and Angles of Parallelograms

This video tutorial covers the properties of parallelograms, including definitions and key characteristics such as congruent opposite sides and angles, supplementary consecutive angles, and bisecting diagonals. The lesson includes example problems to apply these properties and demonstrates how to use them in the coordinate plane. Students are encouraged to pause the video to take notes and complete exercises.

What is a parallelogram?

• A shape with all sides equal

• A triangle with one right angle

• A quadrilateral with parallel opposite sides

• A polygon with three sides

Which of the following is a property of all parallelograms?

• Diagonals are perpendicular

• All angles are right angles

• All sides are equal

• Opposite sides are congruent

In a parallelogram, if one angle is a right angle, what can be said about the other angles?

• They are all acute angles

• They are all obtuse angles

• They are all right angles

• They are all supplementary

What does it mean for the diagonals of a parallelogram to bisect each other?

• They intersect at right angles

• They divide each other into two equal parts

• They are equal in length

• They do not intersect

If DE is 74 mm in a parallelogram, what is the length of CF?

• 31 mm

• 37 mm

• 74 mm

• 148 mm

In a parallelogram, if angle DCF is 42 degrees, what is the measure of angle EFC?

• 180 degrees

• 138 degrees

• 90 degrees

• 42 degrees

If DG is 31 mm in a parallelogram, what is the length of DF?

• 62 mm

• 31 mm

• 124 mm

• 93 mm

In a parallelogram, if 8a - 4 equals 6a + 10, what is the value of a?

• 5

• 6

• 7

• 8

If angle W is 18B - 11 and angle Z is 9B + 2 in a parallelogram, what is the value of B?

• 7

• 6

• 8

• 5

In a parallelogram, if 3W equals W + 8, what is the value of W?

• 5

• 4

• 3

• 2