Worksheets — Set 3

Algebra II · Honors · Conic sections and parametric forms (intro)

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

Warm-up

1. Distance between (4, 6) and (8, 10): ___ 2. Slope of line through (5, 7) and (9, 15): ___ 3. Equation of circle center (6, 3), radius 8: ___

_See printable PDF for diagram._

Written practice

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

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More written practice

1. Equation of circle center (8, 5), radius 10: ___ 2. Are lines with slopes 8 and −1/8 perpendicular? ___ 3. Distance between (9, 11) and (13, 15): ___ 4. Slope of line through (10, 12) and (14, 20): ___ 5. Equation of circle center (11, 8), radius 13: ___ 6. Are lines with slopes 11 and −1/11 perpendicular? ___

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Patterns and rules

1. Distance between (20, 22) and (24, 26): ___ 2. Slope of line through (21, 23) and (25, 31): ___ 3. Equation of circle center (22, 19), radius 24: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances