Worksheets — Set 11

Pre-calculus · Conic sections

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

Warm-up

1. Distance between (12, 14) and (16, 18): ___ 2. Slope of line through (13, 15) and (17, 23): ___ 3. Equation of circle center (14, 11), radius 16: ___

_See printable PDF for diagram._

Written practice

1. Distance between (11, 13) and (15, 17): ___ 2. Slope of line through (12, 14) and (16, 22): ___ 3. Equation of circle center (13, 10), radius 15: ___ 4. Are lines with slopes 13 and −1/13 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (14, 16) and (18, 20): ___ 8. Slope of line through (15, 17) and (19, 25): ___

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More written practice

1. Equation of circle center (16, 13), radius 18: ___ 2. Are lines with slopes 16 and −1/16 perpendicular? ___ 3. Distance between (17, 19) and (21, 23): ___ 4. Slope of line through (18, 20) and (22, 28): ___ 5. Equation of circle center (19, 16), radius 21: ___ 6. Are lines with slopes 19 and −1/19 perpendicular? ___

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Patterns and rules

1. Distance between (28, 30) and (32, 34): ___ 2. Slope of line through (29, 31) and (33, 39): ___ 3. Equation of circle center (30, 27), radius 32: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances