What is a Parallelogram Proof?

A parallelogram proof is a type of geometry proof that proves that a given figure is a parallelogram. In a parallelogram proof, you are provided with certain information about the figure and must use logical steps to prove that the figure is a parallelogram. It may be given as a two-column proof, a paragraph proof, or a flowchart proof.

What is the Purpose of a Parallelogram Proof?

The purpose of a parallelogram proof is to establish that a given figure is a parallelogram. This is important for a variety of reasons. For example, if a figure is a parallelogram, then it will have certain properties such as opposite sides being equal and parallel. Knowing that a figure is a parallelogram allows you to make assumptions about other properties of the figure.

How to Solve a Parallelogram Proof

To solve a parallelogram proof, you must first identify the given information and the conclusion to be proven. This is typically provided in the form of a two-column proof. A two-column proof consists of a given column and a prove column. The given column contains the information that is given, while the prove column contains the logical steps that must be used to prove the conclusion.

Once the given and prove columns have been identified, the next step is to use logical steps to prove the conclusion. This involves using the given information and basic theorems of geometry, such as the Parallelogram Side-Angle-Side (SAS) theorem, to prove that the figure is a parallelogram.

Parallelogram Proofs Worksheet

One of the best ways to practice solving parallelogram proofs is to complete a parallelogram proofs worksheet. These worksheets typically contain a variety of parallelogram proofs that range from easy to difficult. Completing these worksheets can help you gain a better understanding of the types of information provided in a parallelogram proof and the logical steps that must be taken to prove the conclusion.

Parallelogram proofs worksheets can be found online or in geometry textbooks. They are an excellent resource for those who are just starting out with geometry proofs and need some extra practice. Completing these worksheets is also a great way to test your understanding of theorems and properties of parallelograms.