Parallelogram Proof Reasons

Front

What is the Opposite Angles Theorem?

Back

The Opposite Angles Theorem states that in a parallelogram, the opposite angles are equal.

Front

What does the Consecutive Angles Theorem state?

Back

The Consecutive Angles Theorem states that in a parallelogram, consecutive angles are supplementary (add up to 180 degrees).

Front

Define Same Side Interior Angles Theorem.

Back

The Same Side Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

Front

What is the relationship between opposite angles in a parallelogram?

Back

Opposite angles in a parallelogram are equal.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary.

Front

State the properties of a parallelogram.

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. Consecutive angles are supplementary. 4. The diagonals bisect each other.

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

How do you prove that a quadrilateral is a parallelogram?

Back

To prove a quadrilateral is a parallelogram, show that either: 1) both pairs of opposite sides are equal, 2) both pairs of opposite angles are equal, or 3) the diagonals bisect each other.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.