Worksheets — Set 17

Geometry · Coordinate geometry

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

Warm-up

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: ___

_See printable PDF for diagram._

Written practice

1. Distance between (17, 19) and (21, 23): ___ 2. Slope of line through (18, 20) and (22, 28): ___ 3. Equation of circle center (19, 16), radius 21: ___ 4. Are lines with slopes 19 and −1/19 perpendicular? ___ 5. Midpoint of segment with given endpoints: ___ 6. Prove the triangle is isosceles using coordinates. 7. Distance between (20, 22) and (24, 26): ___ 8. Slope of line through (21, 23) and (25, 31): ___

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More written practice

1. Equation of circle center (22, 19), radius 24: ___ 2. Are lines with slopes 22 and −1/22 perpendicular? ___ 3. Distance between (23, 25) and (27, 29): ___ 4. Slope of line through (24, 26) and (28, 34): ___ 5. Equation of circle center (25, 22), radius 27: ___ 6. Are lines with slopes 25 and −1/25 perpendicular? ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Distance between (34, 36) and (38, 40): ___ 2. Slope of line through (35, 37) and (39, 45): ___ 3. Equation of circle center (36, 33), radius 38: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Stretch

1. Distance between (42, 44) and (46, 48): ___ 2. Slope of line through (43, 45) and (47, 53): ___

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Plot points and verify distances