Worksheets — Set 5

Pre-calculus · Conic sections

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

Warm-up

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: ___

_See printable PDF for diagram._

Written practice

1. Distance between (5, 7) and (9, 11): ___ 2. Slope of line through (6, 8) and (10, 16): ___ 3. Equation of circle center (7, 4), radius 9: ___ 4. Are lines with slopes 7 and −1/7 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (8, 10) and (12, 14): ___ 8. Slope of line through (9, 11) and (13, 19): ___

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More written practice

1. Equation of circle center (10, 7), radius 12: ___ 2. Are lines with slopes 10 and −1/10 perpendicular? ___ 3. Distance between (11, 13) and (15, 17): ___ 4. Slope of line through (12, 14) and (16, 22): ___ 5. Equation of circle center (13, 10), radius 15: ___ 6. Are lines with slopes 13 and −1/13 perpendicular? ___

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Patterns and rules

1. Distance between (22, 24) and (26, 28): ___ 2. Slope of line through (23, 25) and (27, 33): ___ 3. Equation of circle center (24, 21), radius 26: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances