Worksheets — Set 15

Pre-calculus · Conic sections

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

Warm-up

1. Distance between (16, 18) and (20, 22): ___ 2. Slope of line through (17, 19) and (21, 27): ___ 3. Equation of circle center (18, 15), radius 20: ___

_See printable PDF for diagram._

Written practice

1. Distance between (15, 17) and (19, 21): ___ 2. Slope of line through (16, 18) and (20, 26): ___ 3. Equation of circle center (17, 14), radius 19: ___ 4. Are lines with slopes 17 and −1/17 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (18, 20) and (22, 24): ___ 8. Slope of line through (19, 21) and (23, 29): ___

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More written practice

1. Equation of circle center (20, 17), radius 22: ___ 2. Are lines with slopes 20 and −1/20 perpendicular? ___ 3. Distance between (21, 23) and (25, 27): ___ 4. Slope of line through (22, 24) and (26, 32): ___ 5. Equation of circle center (23, 20), radius 25: ___ 6. Are lines with slopes 23 and −1/23 perpendicular? ___

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Patterns and rules

1. Distance between (32, 34) and (36, 38): ___ 2. Slope of line through (33, 35) and (37, 43): ___ 3. Equation of circle center (34, 31), radius 36: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances