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Distance formula

Distance formula. Slope. Midpoint Formula. Point slope formula of a line. Equation of a line. y = mx +b. m is slope b is y-intercept. Slope. Parallel Lines. Parallel lines have equal s lopes. Perpendicular Lines. Perpendicular lines have opposite reciprocal slopes.

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Distance formula

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  1. Distance formula

  2. Slope

  3. Midpoint Formula

  4. Point slope formula of a line

  5. Equation of a line

  6. y = mx +b m is slope b is y-intercept

  7. Slope

  8. Parallel Lines

  9. Parallel lines have equal slopes

  10. Perpendicular Lines

  11. Perpendicular lines have opposite reciprocal slopes

  12. Equation of a Circle

  13. Where: Center: (h, k) and radius =

  14. Finding the equation of a circle given two endpoints of the diameter

  15. Use midpoint to find the center • Use distance (between center and one endpoint) to find the radius • Plug into equation of a circle

  16. Find the equation of a perpendicular bisector

  17. Find slope Flip and change the sign of the slope from step 1. Find the midpoint. Plug answers from step 2 and 3 into point slope

  18. Prove a parallelogram

  19. Find the midpoint of both diagonals If they match then… It is a parallelogram because diagonals bisect

  20. Prove a Rectangle

  21. Use DISTANCE to find the length of all four sides If Both sets of opposite sides are = then… It is a rectangle because both sets of opposite sides are congruent

  22. Prove a Rhombus

  23. Use DISTANCE to find the length of all four sides If ALL sides are = then… It is a rhombus because all sides are congruent

  24. Prove a Square

  25. Use DISTANCE to find the length of all four sides and SLOPE of 2 adjacent sides If ALL sides are = and the slopes are opposite reciprocals then… It is a square because all sides are congruent and adjacent sides are perpendicular

  26. Prove a Trapezoid

  27. Find the SLOPE of all four sides If two slopes are = and two are then… It is a trapezoid because there is only one set of opposite parallel sides.

  28. Prove an isosceles trapezoid

  29. Find the SLOPE of all four sides and the DISTANCE of the non-parallel sides If two slopes are = and two are and the non-parallel sides are = then… It is an isosceles trapezoid because there is only one set of opposite parallel sides and the legs are congruent.

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