Proofs in Coordinates Worksheets
How to Write Proofs in Coordinates  The process of placing geometric figures in a coordinate plane for solving the problem is known as the coordinate geometry. While solving a coordinate proof for any shape, you first need to know the properties and the definition of the shape. For example, if you are solving for a quadrilateral that has to be proven as a parallelogram. Then you will need to show that parallelogram has two opposite and parallel sides. Also, you will have to figure out how you can employ algebra to prove the properties of the shape into consideration. Typically coordinate geometry makes use of theorems and proofs to solve a problem. It also employs formulas like midpoint formula, distance formula, and slope formula: Slope Formula (m) = (y2  y1 ) / (x1  x2), Midpoint formula (x,y) = ((x2+ x2)/2 , (y1+ y2)/2) Distance Formula (d) = √(x2  x1)2 + (y2  y1)^{2}. When we start developing a coordinate proof, we first plot all the points. Next, we have to draw the figure and label it correctly. Mention all the formulas that you will use to prove the geometric proof. Lastly, write a concluding sentence states that what you have proven in true and supports it with a reason. You will need a theorem or a definition to support this concluding sentence.

Basic Lesson
Guides students through the beginner skills of Proofs in Coordinates. Draw the quadrilateral on a graph paper.
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Intermediate Lesson
Demonstrates how to use advanced skills to tackle Proofs in Coordinates problems.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Proofs in Coordinates.
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Independent Practice 2
Students use Proofs in Coordinates in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Proofs in Coordinates.
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Question:
What do you get if you divide thirty (30)
by half and then add ten?
The answer is twelve: 30 divided by 15 equals 2 and two plus ten
equals twelve. How? Thirty divided by half is not the same as 30 divided
in half!