Properties and Theorems of Parallelograms

The video tutorial covers the properties of parallelograms, starting with a definition and moving on to four key theorems: congruent opposite sides, congruent opposite angles, supplementary consecutive angles, and diagonals that bisect each other. The tutorial then provides examples to apply these properties, including solving for unknowns in parallelograms and finding coordinates in the coordinate plane.

What is a parallelogram?

• A quadrilateral with one pair of parallel sides

• A quadrilateral with two pairs of parallel sides

• A pentagon with two pairs of parallel sides

• A triangle with two pairs of parallel sides

How can you abbreviate a parallelogram on paper?

• Draw a small rectangle and write the letters

• Draw a small triangle and write the letters

• Draw a small parallelogram and write the letters

• Draw a small circle and write the letters

According to Theorem 6-2-1, what is true about the sides of a parallelogram?

• Adjacent sides are congruent

• Opposite sides are congruent

• All sides are equal

• All sides are different

In a parallelogram, if side AB is congruent to side DC, what can be said about side AD?

• AD is congruent to DC

• AD is congruent to itself

• AD is congruent to BC

• AD is congruent to AB

What does Theorem 6-2-2 state about the angles in a parallelogram?

• All angles are different

• Adjacent angles are congruent

• Opposite angles are congruent

• All angles are equal

If angle B is congruent to angle D in a parallelogram, what can be said about angle A?

• Angle A is congruent to angle B

• Angle A is congruent to angle C

• Angle A is congruent to angle D

• Angle A is congruent to itself

What does it mean for angles to be supplementary?

• They are different

• They are equal

• They add up to 180 degrees

• They add up to 90 degrees

According to Theorem 6-2-3, what is true about consecutive angles in a parallelogram?

• They are supplementary

• They are equal

• They are complementary

• They are different

What does Theorem 6-2-4 state about the diagonals in a parallelogram?

• They are perpendicular

• They bisect each other

• They are parallel

• They are equal

If diagonal AC bisects diagonal BD in a parallelogram, what can be said about segment AM?

• AM is equal to itself

• AM is equal to BM

• AM is equal to CM

• AM is equal to DM