Worksheets — Set 10

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

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

Warm-up

1. Distance between (11, 13) and (15, 17): ___ 2. Slope of line through (12, 14) and (16, 22): ___ 3. Equation of circle center (13, 10), radius 15: ___

_See printable PDF for diagram._

Written practice

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: ___ 4. Are lines with slopes 12 and −1/12 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (13, 15) and (17, 19): ___ 8. Slope of line through (14, 16) and (18, 24): ___

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More written practice

1. Equation of circle center (15, 12), radius 17: ___ 2. Are lines with slopes 15 and −1/15 perpendicular? ___ 3. Distance between (16, 18) and (20, 22): ___ 4. Slope of line through (17, 19) and (21, 27): ___ 5. Equation of circle center (18, 15), radius 20: ___ 6. Are lines with slopes 18 and −1/18 perpendicular? ___

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Patterns and rules

1. Distance between (27, 29) and (31, 33): ___ 2. Slope of line through (28, 30) and (32, 38): ___ 3. Equation of circle center (29, 26), radius 31: ___

_See printable PDF for diagram._

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Parent tip: Plot points and verify distances