Worksheets — Set 4

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

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

Warm-up

1. Distance between (5, 7) and (9, 11): ___ 2. Slope of line through (6, 8) and (10, 16): ___ 3. Equation of circle center (7, 4), radius 9: ___

_See printable PDF for diagram._

Written practice

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: ___ 4. Are lines with slopes 6 and −1/6 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (7, 9) and (11, 13): ___ 8. Slope of line through (8, 10) and (12, 18): ___

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More written practice

1. Equation of circle center (9, 6), radius 11: ___ 2. Are lines with slopes 9 and −1/9 perpendicular? ___ 3. Distance between (10, 12) and (14, 16): ___ 4. Slope of line through (11, 13) and (15, 21): ___ 5. Equation of circle center (12, 9), radius 14: ___ 6. Are lines with slopes 12 and −1/12 perpendicular? ___

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Patterns and rules

1. Distance between (21, 23) and (25, 27): ___ 2. Slope of line through (22, 24) and (26, 32): ___ 3. Equation of circle center (23, 20), radius 25: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances