Worksheets — Set 1

Pre-calculus · Conic sections

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

Warm-up

1. Distance between (2, 4) and (6, 8): ___ 2. Slope of line through (3, 5) and (7, 13): ___ 3. Equation of circle center (4, 1), radius 6: ___

_See printable PDF for diagram._

Written practice

1. Distance between (1, 3) and (5, 7): ___ 2. Slope of line through (2, 4) and (6, 12): ___ 3. Equation of circle center (3, 0), radius 5: ___ 4. Are lines with slopes 3 and −1/3 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (4, 6) and (8, 10): ___ 8. Slope of line through (5, 7) and (9, 15): ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Equation of circle center (6, 3), radius 8: ___ 2. Are lines with slopes 6 and −1/6 perpendicular? ___ 3. Distance between (7, 9) and (11, 13): ___ 4. Slope of line through (8, 10) and (12, 18): ___ 5. Equation of circle center (9, 6), radius 11: ___ 6. Are lines with slopes 9 and −1/9 perpendicular? ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Distance between (18, 20) and (22, 24): ___ 2. Slope of line through (19, 21) and (23, 29): ___ 3. Equation of circle center (20, 17), radius 22: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Plot points and verify distances