Parallelogram Proofs

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

What are the properties of a parallelogram?

Back

1. Opposite sides are congruent. 2. Opposite angles are congruent. 3. The diagonals bisect each other.

Front

What does CPCTC stand for?

Back

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

Front

What is the Reflexive Property?

Back

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside two parallel lines. They are congruent.

Front

How do you prove that two triangles are congruent?

Back

You can prove two triangles are congruent using methods such as SSS (Side-Side-Side), SAS (Side-Angle-Side), or ASA (Angle-Side-Angle).

Front

What is the significance of vertical angles in geometry?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the definition of congruent segments?

Back

Congruent segments are line segments that have the same length.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the relationship between the diagonals of a parallelogram?

Back

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