Worksheets — Set 18
Pre-calculus · Conic sections
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Distance between (19, 21) and (23, 25): ___ 2. Slope of line through (20, 22) and (24, 30): ___ 3. Equation of circle center (21, 18), radius 23: ___
_See printable PDF for diagram._
Written practice
1. Distance between (18, 20) and (22, 24): ___ 2. Slope of line through (19, 21) and (23, 29): ___ 3. Equation of circle center (20, 17), radius 22: ___ 4. Are lines with slopes 20 and −1/20 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (21, 23) and (25, 27): ___ 8. Slope of line through (22, 24) and (26, 32): ___
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More written practice
1. Equation of circle center (23, 20), radius 25: ___ 2. Are lines with slopes 23 and −1/23 perpendicular? ___ 3. Distance between (24, 26) and (28, 30): ___ 4. Slope of line through (25, 27) and (29, 35): ___ 5. Equation of circle center (26, 23), radius 28: ___ 6. Are lines with slopes 26 and −1/26 perpendicular? ___
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Patterns and rules
1. Distance between (35, 37) and (39, 41): ___ 2. Slope of line through (36, 38) and (40, 46): ___ 3. Equation of circle center (37, 34), radius 39: ___
_See printable PDF for diagram._
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Stretch
1. Distance between (43, 45) and (47, 49): ___ 2. Slope of line through (44, 46) and (48, 54): ___
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Parent tip: Plot points and verify distances