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  1. reflexive property is anything equal of congruent to itself.
    AB=AB

    ABm ~ AB
  2. complementary angles are 2 angles with measures that have a sum of 90
    if: angle 2 comp angle 4

    then: the measure of angle 2 + the measure of angle 4= 90
  3. if 2 lines are cut by transversal so that consecutive interior angles are supp then the lines are //
    • if: <1 supplementary <2
    • ___________1__/_________ l
    • ___________2_/__________ m
    • /
    • /
    • then: l // m
  4. theorem 2.7- if <'s are comp to the same < or to ~ <'s then they are ~
    • if: <1 is comp to <3 and <2 is comp to <3
    • then: <1 is comp to <2

    • if: <A is comp to <s
    • <B comp <T
    • <S supp <T

    then: <A ~ <B
  5. theorem 3.3- if 2 // lines are cut by a transversal then the alternate exterior < are ~
    • if: A // B
    • c
    • ___________/_______ a
    • __________/________ b
    • /
    • /
    • then: <1 ~ <2
  6. symetric property
    • AB ~ BA
    • also works for equals
  7. supplementary angles are < with the measures that have a sum of 180
    • if: <1 supp <3
    • then: m<1 + m<3= 180

    • if: m<1 + m<3=180
    • then: <1 supp <3
  8. a segment bisector intersects a segment at its midpoint
    if: AB bisects XY

    then: m is the midpoint of XY
  9. a midpoint divides a segment into 2 ~ segments
    • given: m is the midpoint of AB
    • then: AM is ~ to MB
  10. addition property if = are added to ='s the results are =
  11. transitive property
    • if: AB ~ CD
    • EF ~ CD
    • then: AB ~ EF
  12. congruent segments are segments = in measure
    if: AB ~ EG

    • then: AB = EG
    • *works the other way around also
  13. an angle bisector divides an < into 2 ~ <'s
    if: BD bisects <ABC

    then: <ABD ~ <DBC
  14. congruent <'s are <'s of the same measure
    if: <ABC ~ <DEF

    then: m<ABC = m<DEF

    also works flipped.
  15. theorem 2.8- is 2 <' are vertical < the they are ~
    • \ /
    • \ /
    • 1 \ / 2
    • / \
    • / \
    • then: <1 ~ <2
  16. perpendicular lines are 2 lines that meet to form right angles
    • if: AB is perp to CD
    • then: <1 is a right angle
  17. theorem 3.8- if 2 lines are perp to the same line they they are //
    • L and M are parallel and A intersects them
    • then: L is parallel to M
  18. a right angle is an < whose measure = 90
    • if: B is a right <
    • then: the measure of <b is 90
    • *works flipped becuase is a def
  19. theorem 2.10- if 2 < at=re right < then they are ~
    • if: < 1 is a rt<
    • <2 is a rt <

    then: <1 ~ <2
  20. theorem 2.6- id <'s are supp to the same < or to congruent < then they are congruent
    • if: <1 is supp to <3 and <2 is supp to <3
    • then: <1 ~ <2

    • if:<A is supp to <S
    • <B is supp to <T
    • <S is congruent to <T
    • then: <A ~ <B
  21. subtraction property is = re subtracted from ='s the measure of the whole is =
Author
Wordless123
ID
48238
Card Set
Math cards
Description
this is for 10th grade geo
Updated

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