Worksheets — Set 20
Pre-calculus · Conic sections
Print and write your answers. Use diagrams to show thinking.
Warm-up
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._
Written practice
1. Distance between (20, 22) and (24, 26): ___ 2. Slope of line through (21, 23) and (25, 31): ___ 3. Equation of circle center (22, 19), radius 24: ___ 4. Are lines with slopes 22 and −1/22 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (23, 25) and (27, 29): ___ 8. Slope of line through (24, 26) and (28, 34): ___
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More written practice
1. Equation of circle center (25, 22), radius 27: ___ 2. Are lines with slopes 25 and −1/25 perpendicular? ___ 3. Distance between (26, 28) and (30, 32): ___ 4. Slope of line through (27, 29) and (31, 37): ___ 5. Equation of circle center (28, 25), radius 30: ___ 6. Are lines with slopes 28 and −1/28 perpendicular? ___
___________________________ ___________________________ ___________________________ ___________________________ ___________________________
Patterns and rules
1. Distance between (37, 39) and (41, 43): ___ 2. Slope of line through (38, 40) and (42, 48): ___ 3. Equation of circle center (39, 36), radius 41: ___
_See printable PDF for diagram._
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Stretch
1. Distance between (45, 47) and (49, 51): ___ 2. Slope of line through (46, 48) and (50, 56): ___
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Parent tip: Plot points and verify distances