math midterm

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lmtrackstar
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125697
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math midterm
Updated:
2012-01-02 18:38:38
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math midterm
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postulates theorems
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  1. segment addition postulate
    • If point B falls between point A and C, and A, B, and C are collinear,
    • then AB + BC = AC
  2. 2. Angle addition postulate
    all the angles in a triangle add up to 180 degrees
  3. 3. Definition of parallel
    two lines that don’t intersect and are coplanar
  4. Definition of perpendicular
    • two lines that intersect to
    • form a right angle are perpendicular
  5. what existst between any 2 points?
    a line
  6. through any 3 noncolinear points there exists what?
    a plane
  7. Addition Prop of Equality
    a = b, then a + c = b + c
  8. waht is RAT
    right angle congruency all right angles are congruent
  9. Congruent Supplements Theorem
    • if two angles are supplementary to the same angle (or to congruent
    • angles) then they are congruent
  10. Congruent Complements Theorem
    • if two angles are complementary to the same angle (or to congruent
    • angles) then they are congruent
  11. Linear Pair Postulate (LPP
    • if two angles form a linear
    • pair, then they are supplementary
  12. Parallel postulate
    • if there is a line and a point not on that line, then there is exactly
    • one line through the point parallel to the given line
  13. Perpendicular Postulate
    • if there is a line and a
    • point not on the line, then there is exactly one line through the point
    • perpendicular to the given line
  14. Corresponding angles postulate
    • if two lines cut by a transversal are parallel, then the corresponding
    • angles are congruent
  15. Transitive property of parallel lines
    • if two coplanar lines are parallel to the same line, then they are
    • parallel to each other
  16. Slopes of parallel lines postulate
    • in a coordinate plane, two non-vertical lines are parallel if and only
    • if they have the same slope
  17. Slopes of perpendicular lines postulate
    • in a coordinate plane, two
    • non-vertical lines are perpendicular if and only if they have slopes that are
    • negative reciprocals
  18. If two lines intersect to form a linear pair of congruent angles, then
    the lines are perpendicular (theorem)
    • If two lines intersect to form a linear pair of congruent angles, then
    • the lines are perpendicular (theorem)
  19. what postulates prove congruency?
    • sss
    • aaa
    • sas
    • asa
    • hl
  20. what is cpctc
    (corresponding parts of corresponding triangles are congruent)
  21. base angles theorem
    • if two sides of a triangle are congruent, then the angles opposite these
    • sides are also congruent
  22. base angles theorem corollary
    if a triangle is equilateral, then it is equiangular
  23. converse of the base angles theorem
    • if two angles in a triangle
    • are congruent, then the two opposite sides are congruent
  24. corollary to the converse of the base angles theorem
    if a triangle is equiangular, then it is equilateral
  25. Corresponding lengths in similar polygons
    • if two polygons are
    • similar, then the ratio of any two lengths in the polygon is equal to the scale
    • factor.
  26. Perimeters of similar triangles
    • if two polygons are
    • similar, then the ratio of their perimeters is equal to the ratio of the
    • lengths of their corresponding sides (scale factor)
  27. waht postulates prove similarity?
    • aa- if two angles of one triangle are congruent to two angles of another
    • triangle, then the triangles are similar
    • sss
    • sas
  28. Triangle Proportionality Theorem
    • if a line parallel to one
    • side of a triangle intersects the other two sides then it divides the two sides
    • proportionally
  29. converse of the Triangle Proportionality Theorem
    • if a line intersects 2 sides of a triangle and it divides the sides
    • proportionally, then it is parallel to the other side
  30. Midsegment Theorem
    • the midsegment of a triangle is half the length of the side it does
    • not intersect and parallel to that side

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