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Unit: Analytic geometry

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Distance and midpoints

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Getting ready for analytic geometry
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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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Proving triangle medians intersect at a point
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Practice
Divide line segmentsGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 300 Mastery points

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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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!

Quiz 2

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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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Classifying quadrilaterals on the coordinate plane
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Classifying figures with coordinates
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Practice
Parallel & perpendicular lines from graphGet 3 of 4 questions to level up!
Classify figures by coordinatesGet 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 opposite reciprocal slopes
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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!

Quiz 3

Level up on the above skills and collect up to 400 Mastery points
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Unit test

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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.