Understanding Parallelograms

The video tutorial covers the definition and properties of parallelograms, including congruent sides and angles, supplementary angles, and bisecting diagonals. It demonstrates how to apply these properties to solve various geometry problems, ranging from basic to advanced levels. The tutorial also includes practice problems and solutions to reinforce learning.

What is a defining characteristic of a parallelogram?

• Opposite sides are parallel

• All angles are right angles

• Diagonals are perpendicular

• All sides are equal

Tags

CCSS.HSG.CO.C.11

Which property is true for the opposite angles of a parallelogram?

• They are supplementary

• They are complementary

• They are congruent

• They are right angles

What happens to the diagonals of a parallelogram?

• They form right angles

• They are equal in length

• They are perpendicular

• They bisect each other

Tags

CCSS.HSG.C.A.3

If one angle of a parallelogram is 68 degrees, what is the measure of its consecutive angle?

• 90 degrees

• 180 degrees

• 112 degrees

• 68 degrees

Tags

CCSS.HSG.CO.C.11

In a parallelogram, if one side is 15 units, what is the length of the opposite side?

• 15 units

• 30 units

• 7.5 units

• Cannot be determined

Tags

CCSS.HSG.C.A.3

How do you find the measure of an angle in a parallelogram if you know the measure of its opposite angle?

• Divide by 2

• It is equal to the opposite angle

• Subtract from 180 degrees

• Add 90 degrees

What is the relationship between alternate interior angles in a parallelogram?

• They are equal

• They are supplementary

• They are complementary

• They are right angles

Tags

CCSS.HSG.CO.C.11

If a diagonal of a parallelogram is bisected, what can be said about the segments?

• They form a right angle

• They are parallel

• They are perpendicular

• They are equal

Tags

CCSS.HSG.C.A.3

In a parallelogram, if one angle is 134 degrees, what is the measure of the adjacent angle?

• 46 degrees

• 180 degrees

• 90 degrees

• 134 degrees

What is the sum of the interior angles of a parallelogram?

• 540 degrees

• 720 degrees

• 360 degrees

• 180 degrees