geometry chapter 2

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Author:
verde17
ID:
111833
Filename:
geometry chapter 2
Updated:
2011-10-24 17:58:55
Tags:
theorems
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Description:
2.1-2.8
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  1. perpendicular lines
    lines,rays, or segments that intersect at right angles
  2. can you assume perpendicularity from a diagram
    no
  3. given: <1 suppl <2
    <1 suppl<3
    conclusion: <2 congruent<3
    What theorem?
    If angles are supplementary to the same angle they are congruent
  4. Given: <1 suppl<2
    <3 suppl <4
    <2 congruent<4
    Conclusion: <1congruent<3
    If 2 <'s are supplementary to congruent <'s they are congruent
  5. Given: <1 complimentary<2
    <1 complementary <3
    Conclusion: <2 congruent <3
    If 2 <'s are complementary to the same < they are congruent
  6. Given: <1 complementary<2
    <3 complementary <4
    <2 congruent<4
    Conclusion: <1 congruent<3
    If <'s are compl. to congruent <'s they are congruent
  7. Given PQcongruentRS
    Conclusion:PRcongruentQS
    If a segment is added to two conguent segments the sums are congruent- same for angles
  8. Given: KR congruent QS; RM congruent SP
    COnclusion KM congruent QP
    If congruent segments are added to congruent segments the results are congruent- same for angles
  9. Given AC congruent BD
    Conclusion: AB congruent CD
    If a segment is subtracted from congruent segments the differences are congruent- same for angles
  10. Given:KO congruent KP
    NO congruent RP
    Conclusion KN conclusion KR
    If congruent segments are subtracted from congruent segments the differences are congruent- same for angles
  11. Given: AB congruent EF
    Band C are trisectors of AD
    F and G are trisectors of EH
    Conclusion: AD congruent EH
    if segments( or angles ) are congruent their like multiples are congruent
  12. Given: DG congruentCT
    O is midpoint of DG
    A is midpoint of CT
    Conclusion DO congruent CA
    If segments (or angles) are congruent their like divisions are congruent
  13. If AB congruent CD and CD congruent EF then AB congruent EF
    if <'s(or segments) are congruent to the same < (segment) they are congruent to each other
  14. If QR congruent ST, QR congruent XY, and ST congruent AB then XY congruent AB
    If segments(or angles) are congruent to congruent <'s(or segments) they are congruent to each other
  15. Opposite rays
    • 1) share a common endpoint
    • 2) are collinear
    • 3) extend in different(opposite) directions
  16. vertical angles
    2 <'s are vertical <'s when the rays forming the sides of one vertical < are opposite rays to those forming the sides of the other vertical <# this means when 2 lines intersect 2 pairs of vertical <'s are formed
  17. <1 and <3 are vertical <'s
    <2 and <4 are vertical <'s
    verrtical <'s are congruent

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