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What's on the worksheet
- Give the coordinates of each vertex using as few letters as possible.
- Find the other corners of a tilted square and show it is a square.
- Decide whether each placement of a figure is general and give a general one.
- Find the midpoint and slopes in a rectangle and decide when two lines are perpendicular.
- Prove PA squared plus PC squared equals PB squared plus PD squared for any point P.
- Prove the sum of the squares of the sides of a parallelogram equals the sum of the squares of its diagonals.
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The free lesson teaches it with worked examples and practice problems.
Coordinate proofs with variables: the lesson ›More Chapter 9 worksheets: Coordinate geometry and coordinate proof
- 9.1Partitioning a segment in a given ratio
- 9.2Slopes of perpendicular lines
- 9.3Writing a parallel or perpendicular line through a point
- 9.4Perimeter and area from coordinates
- 9.5Classifying figures from coordinates
- 9.6Coordinate proofs with variables
- 9.7Flowchart proofs and choosing a format
- 9.8Coordinates and distance in three dimensions