Worksheets — Set 8

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

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

Warm-up

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: ___

_See printable PDF for diagram._

Written practice

1. Distance between (8, 10) and (12, 14): ___ 2. Slope of line through (9, 11) and (13, 19): ___ 3. Equation of circle center (10, 7), radius 12: ___ 4. Are lines with slopes 10 and −1/10 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (11, 13) and (15, 17): ___ 8. Slope of line through (12, 14) and (16, 22): ___

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More written practice

1. Equation of circle center (13, 10), radius 15: ___ 2. Are lines with slopes 13 and −1/13 perpendicular? ___ 3. Distance between (14, 16) and (18, 20): ___ 4. Slope of line through (15, 17) and (19, 25): ___ 5. Equation of circle center (16, 13), radius 18: ___ 6. Are lines with slopes 16 and −1/16 perpendicular? ___

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Patterns and rules

1. Distance between (25, 27) and (29, 31): ___ 2. Slope of line through (26, 28) and (30, 36): ___ 3. Equation of circle center (27, 24), radius 29: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances