Worksheets — Set 9

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

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

Warm-up

1. Distance between (10, 12) and (14, 16): ___ 2. Slope of line through (11, 13) and (15, 21): ___ 3. Equation of circle center (12, 9), radius 14: ___

_See printable PDF for diagram._

Written practice

1. Distance between (9, 11) and (13, 15): ___ 2. Slope of line through (10, 12) and (14, 20): ___ 3. Equation of circle center (11, 8), radius 13: ___ 4. Are lines with slopes 11 and −1/11 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (12, 14) and (16, 18): ___ 8. Slope of line through (13, 15) and (17, 23): ___

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More written practice

1. Equation of circle center (14, 11), radius 16: ___ 2. Are lines with slopes 14 and −1/14 perpendicular? ___ 3. Distance between (15, 17) and (19, 21): ___ 4. Slope of line through (16, 18) and (20, 26): ___ 5. Equation of circle center (17, 14), radius 19: ___ 6. Are lines with slopes 17 and −1/17 perpendicular? ___

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Patterns and rules

1. Distance between (26, 28) and (30, 32): ___ 2. Slope of line through (27, 29) and (31, 37): ___ 3. Equation of circle center (28, 25), radius 30: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances