Worksheets — Set 6

Pre-calculus · Conic sections

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Distance between (7, 9) and (11, 13): ___ 2. Slope of line through (8, 10) and (12, 18): ___ 3. Equation of circle center (9, 6), radius 11: ___

_See printable PDF for diagram._

Written practice

1. Distance between (6, 8) and (10, 12): ___ 2. Slope of line through (7, 9) and (11, 17): ___ 3. Equation of circle center (8, 5), radius 10: ___ 4. Are lines with slopes 8 and −1/8 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (9, 11) and (13, 15): ___ 8. Slope of line through (10, 12) and (14, 20): ___

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More written practice

1. Equation of circle center (11, 8), radius 13: ___ 2. Are lines with slopes 11 and −1/11 perpendicular? ___ 3. Distance between (12, 14) and (16, 18): ___ 4. Slope of line through (13, 15) and (17, 23): ___ 5. Equation of circle center (14, 11), radius 16: ___ 6. Are lines with slopes 14 and −1/14 perpendicular? ___

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Patterns and rules

1. Distance between (23, 25) and (27, 29): ___ 2. Slope of line through (24, 26) and (28, 34): ___ 3. Equation of circle center (25, 22), radius 27: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances