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A coordinate proof is a style of proof that uses coordinate geometry and algebra. The first step of a coordinate proof is to position the given figure.

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Presentation on theme: "A coordinate proof is a style of proof that uses coordinate geometry and algebra. The first step of a coordinate proof is to position the given figure."— Presentation transcript:

1 A coordinate proof is a style of proof that uses coordinate geometry and algebra. The first step of a coordinate proof is to position the given figure in the plane. You can use any position, but using coordinates with zeros or the figure’s symmetry can make the proof simpler.

2 Formulas for Coordinate Proofs

3 Coordinate Proofs with Variables
A coordinate proof can also be used to prove that a certain relationship is always true. You can prove that a statement is true for all right triangles without knowing the side lengths. To do this, assign variables as the coordinates of the vertices. If a coordinate proof requires calculations with fractions, choose coordinates that are multiples of the denominator.

4 Examples from the Workbook
Pages 173 – 175 examples 1-2 Pages 175 – 176 Practice 2 & 4 Page 177 #1 – 3

5 Example 3 Write a coordinate proof showing that the area of ∆ADB is one half the area of ∆ABC.

6 4-8 Honors Assignments Primary assignment: join.quizizz.com Codes expire at 7AM on the due date Period (due Thursday) Period (due Thursday) Period (due Friday) Secondary Assignment: Workbook pg 178 ALL

7 4-8 Assignments Primary assignment: join.quizizz.com Codes expire at 7AM on the due date Period (due Friday) Period (due Friday) Period (due Thursday) Secondary Assignment: Workbook pg 178 ALL


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