[G.GPE.4] Expressing Geometric Properties With Equations #4

Objective

Common Core Text:

• [G.GPE.4] Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).

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Explanation

Coordinate systems bring algebra and geometry together. Coordinate systems give numbers to every position, so we can see where things are (geometry) and use the numbers to make calculations (algebra). This section gives two examples of using coordinate systems in this way

• Prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle

• Prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).

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