Properties and Theorems of Parallelograms

This video tutorial covers Section 6-2 on the properties of parallelograms. It explains the four key properties: congruent opposite sides, congruent opposite angles, supplementary consecutive angles, and diagonals that bisect each other. The video also demonstrates how to use these properties to solve equations and apply theorem 6-7 to find segment lengths when parallel lines cut congruent segments.

What is the main focus of Section 6-2 in the video?

• Properties of triangles

• Properties of parallelograms

• Properties of circles

• Properties of polygons

What is a defining characteristic of a parallelogram?

• Diagonals are perpendicular

• All sides are equal

• All angles are right angles

• Opposite sides are parallel

In a parallelogram, what can be said about the opposite sides?

• They are perpendicular

• They are congruent

• They are unequal

• They are bisected by diagonals

What is true about the opposite angles in a parallelogram?

• They are supplementary

• They are right angles

• They are complementary

• They are congruent

What is the relationship between consecutive angles in a parallelogram?

• They are equal

• They are complementary

• They are supplementary

• They are congruent

What is the sum of consecutive angles in a parallelogram?

• 180°

• 90°

• 360°

• 270°

What is the sum of consecutive angles in a parallelogram?

• 90°

• 180°

• 360°

• 270°

What is the sum of consecutive angles in a parallelogram?

• 270°

• 180°

• 90°

• 360°

If angle A in a parallelogram is 53°, what is angle B?

• 180°

• 53°

• 90°

• 127°

In a parallelogram, if angle P is 116°, what is angle S?

• 64°

• 180°

• 116°

• 90°