MathCoordinate Geometry

Course Outline
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Study GuideMathCoordinate Geometry
📐 Geometry & Trig~15% of SAT Math

Coordinate Geometry

Find distance, midpoint, and work with shapes on the coordinate plane.

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Worked Example

Practice Problems

Problem

(1,2) to (4,6)

Problem

(2,5) and (8,11)

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SAT Strategies

Pro Tips & Shortcuts

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SAT Tip: Always write coordinates as (x, y) - x first, then y.

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SAT Tip: This is just the Pythagorean theorem applied to coordinates.

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SAT Tip: Midpoint is just the average of the coordinates.

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SAT Tip: This is a 3-4-5 right triangle! Horizontal: 3, Vertical: 4, Hypotenuse: 5.

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SAT Tip: Average each coordinate separately.

⚡ Shortcut

Remember: x is horizontal (like a cross), y is vertical (like why ask).

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For horizontal/vertical lines, you can just subtract coordinates directly.

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Add the x's and divide by 2, add the y's and divide by 2.

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Recognize Pythagorean triples to avoid calculation.

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Check: (5,8) should be halfway between (2,5) and (8,11).