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reflexive property is anything equal of congruent to itself.
AB=AB
ABm
~
AB
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
if 2 lines are
cut by transversa
l so that
consecutive interior angle
s are
supp then the lines are //
if
: <1 supplementary <2
___________
_{1}
__/_________ l
___________
_{2}
_/__________ m
/
/
then
: l // m
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
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
symetric property
AB
~
BA
also works for equals
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
a
segment bisecto
r intersects a segment at its midpoint
if: AB bisects XY
then: m is the midpoint of XY
a midpoint divides a segment into 2
~
segments
given
: m is the midpoint of AB
then
: AM is
~
to MB
addition property if = are added to ='s the results are =
transitive property
if
: AB
~
CD
EF
~
CD
then
: AB
~
EF
congruent segments are segments = in measure
if: AB
~
EG
then
: AB = EG
*works the other way around also
an angle bisector divides an < into 2
~
<'s
if: BD bisects <ABC
then: <ABD
~
<DBC
congruent <'s are <'s of the same measure
if: <ABC ~ <DEF
then: m<ABC = m<DEF
also works flipped.
theorem 2.8- is 2 <' are vertical < the they are
~
\ /
\ /
1 \ / 2
/ \
/ \
then
: <1
~
<2
perpendicular lines are 2 lines that meet to form right angles
if
: AB is perp to CD
then
: <1 is a right angle
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
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
theorem 2.10- if 2 < at=re right < then they are
~
if
: < 1 is a rt<
<2 is a rt <
then: <1
~
<2
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
subtraction property is = re subtracted from ='s the measure of the whole is =
Author:
Wordless123
ID:
48238
Card Set:
Math cards
Updated:
2010-11-09 00:21:46
Tags:
geometry
Folders:
Description:
this is for 10th grade geo
Show Answers:
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