Math III - Proofs and Parallelograms Practice 12/16

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length.

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal. 2. Opposite angles are equal. 3. Diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

You can determine if a quadrilateral is a parallelogram by checking if either: 1. Opposite sides are equal, 2. Opposite angles are equal, 3. Diagonals bisect each other, or 4. One pair of opposite sides is both equal and parallel.

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used in proofs involving triangles.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

If one pair of opposite sides of a quadrilateral is both congruent and parallel, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

What is the significance of diagonals in a parallelogram?

Back

In a parallelogram, the diagonals bisect each other, meaning they cut each other in half.

Front

What is the definition of opposite angles in a parallelogram?

Back

Opposite angles in a parallelogram are angles that are across from each other and are equal in measure.

Front

Can a quadrilateral with only one pair of parallel sides be a parallelogram?

Back

No, a quadrilateral must have both pairs of opposite sides parallel to be classified as a parallelogram.

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.