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Analytic geometry

Distance and midpoints

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Distance formula
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Distance formula
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Midpoint formula
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Midpoint formula
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Distance formula review
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Midpoint formula review
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Practice
Distance between two pointsGet 5 of 7 questions to level up!
Midpoint formulaGet 3 of 4 questions to level up!

Dividing line segments

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Dividing line segments: graphical
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Dividing line segments
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Divide line segmentsGet 3 of 4 questions to level up!

Problem solving with distance on the coordinate plane

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Area of trapezoid on the coordinate plane
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Points inside/outside/on a circle
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Challenge problem: Points on two circles
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Coordinate plane word problem
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Classifying quadrilaterals on the coordinate plane
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Practice
Area & perimeter on the coordinate planeGet 3 of 4 questions to level up!
Points inside/outside/on a circleGet 3 of 4 questions to level up!
Coordinate plane word problems: polygonsGet 3 of 4 questions to level up!

Parallel & perpendicular lines on the coordinate plane

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Parallel & perpendicular lines intro
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Parallel & perpendicular lines from graph
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Parallel & perpendicular lines from graphGet 3 of 4 questions to level up!

Equations of parallel & perpendicular lines

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Parallel lines from equation
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Parallel lines from equation (example 2)
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Parallel lines from equation (example 3)
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Perpendicular lines from equation
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Writing equations of perpendicular lines
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Writing equations of perpendicular lines (example 2)
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Proof: parallel lines have the same slope
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Proof: perpendicular lines have negative reciprocal slope
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Practice
Parallel & perpendicular lines from equationGet 3 of 4 questions to level up!
Write equations of parallel & perpendicular linesGet 3 of 4 questions to level up!

About this unit

In analytic geometry, also known as coordinate geometry, we think about geometric objects on the coordinate plane. For example, we can see that opposite sides of a parallelogram are parallel by writing a linear equation for each side and seeing that the slopes are the same.