Chapter 3 Geometry Holt

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Minhs2
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177725
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Chapter 3 Geometry Holt
Updated:
2012-10-15 01:11:21
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geometry chapter holt ca california
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Chapter 3 Geometry vocab and post./thm.
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  1. alternate exterior angles
    For two lines cut by a transversal, a pair of angles that lie on opposite sides of the transversal and outside the other two lines.
  2. alternate interior angles
    For two lines cut by a transversal, a pair of nonadjacent angles that lie on opposite sides of the transversal and between the other two lines.
  3. corresponding angles of lines intersected by a transversal
    For two lines cut by a transversal, a pair of angles that lie on the same side of the transversal and on the same sides of the other two lines.
  4. distance from a point to a line
    The length of the perpendicular segment from the point to the line.
  5. parallel lines
    Lines in the same plane that do not intersect.
  6. parallel planes
    Planes that do not intersect.
  7. perpendicular bisector of a segment
    A line perpendicular to a segment at the segment's midpoint.
  8. perpendicular lines
    Lines that intersect at 90 degree angles.
  9. point-slope form
    y-y1=m(x-x1), where m is the slope and (x1,y1) is a point on the line.
  10. rise
    The difference in the y-values of two points on a line.
  11. run
    The difference in the x-values of two points on a line.
  12. same-side interior angles
    For two lines cut by a transversal, a pair of angles that lie on the same side of the transversal and between the two lines.
  13. skew lines
    Two lines are not coplanar, are not parallel and do not intersect.
  14. slope
    A measure of the steepness of a line. If (x1,y1) and (x2,y2) are any two points on the line, the slope of the line, known as m, is represented by the equation m=y2-y1 divided by x2-x1
  15. slope-intercept form
    The slope-intercept form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.
  16. transversal
    A line that intersects two coplanar lines at two different points.
  17. Corresponding Angles Postulate
    If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
  18. equation of a vertical line
    x=a, where a is the x-intercept
  19. equation of a vertical line
    y=b, where b is the y-intercept
  20. Corresponding Angles Postulate
    If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
  21. Alternate Interior Angles Theorem
    If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
  22. Alternate Exterior Angles Theorem
    If two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent.
  23. Same-Side Interior Angles Theorem
    If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are supplementary.
  24. Converse of the Corresponding Angles Postulate
    If two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two lines are parallel.
  25. Parallel Postulate
    Through a point P not on line l, there is exactly one line parallel to l.
  26. Converse of the Alternate Interior Angles Theorem
    If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel.
  27. Converse of the Alternate Exterior Angles Theorem
    If two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel.
  28. Converse of the Same-Side Interior Angles Theorem
    If two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel.
  29. Thm. 3-4-1
    If two intersecting lines form a linear pair of congruent angles, then the lines are perpendicular.
  30. Perpendicular Transversal Theorem
    In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
  31. Thm. 3-4-3
    If two coplanar lines are perpendicular to the same line, then the two lines are parallel to each other.
  32. Parallel Lines Theorem
    In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
  33. Perpendicular Lines Theorem
    In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is 1. Vertical and horizontal lines are perpendicular.

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