OML Search

A two-column proof consists of a list of statements, and the reasons why those statements are true. The statements are in the left column and the reasons are in the right column. The statements consists of steps toward solving the problem.

Related Topics:

More Geometry Lessons

Proof Practice 1

Practice writing a 2 column proof.

Proof Practice 2

Practice writing two column proofs

Proof Practice 3

Practice writing two column proofs

Practice Proof 4

Practice writing 2 column proofs.

Two column proof showing segments are perpendicular

Using triangle congruency postulates to show that two intersecting segments are perpendicular

Two column proof to prove parallel lines

Practice writing a 2 column proof.

Proof Practice 2

Practice writing two column proofs

Proof Practice 3

Practice writing two column proofs

Practice Proof 4

Practice writing 2 column proofs.

Two column proof showing segments are perpendicular

Using triangle congruency postulates to show that two intersecting segments are perpendicular

Two column proof to prove parallel lines

Proving a Quadrilateral a Parallelogram | Geometry Proof

This video geometry lesson proves two parallelogram theorems.

Proof 1: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Proof 1: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorems Used: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram and If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram to solve problems.

Special Parallelograms Part 2 Rhombus and Rectangle Proofs

This video uses the two column method to prove two theorems.

Proof 1: The diagonals of a rectangle are congruent. This amounts to be a triangle proof to use CPCTC.

Proof 2: The diagonals of a rhombus are perpendicular.

This video geometry lesson proves two parallelogram theorems.

Proof 1: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Proof 1: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorems Used: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram and If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram to solve problems.

Special Parallelograms Part 2 Rhombus and Rectangle Proofs

This video uses the two column method to prove two theorems.

Proof 1: The diagonals of a rectangle are congruent. This amounts to be a triangle proof to use CPCTC.

Proof 2: The diagonals of a rhombus are perpendicular.

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

*(Clicking "View Steps" on the answer screen will take you to the Mathway site, where you can register for a free ten-day trial of the software.)*

OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.