Law of Detachment
q→s
q
∴ ___
∴ s
d→f
f→g
∴____
∴ d→g
a→b
~b
∴ ____
∴ ~a
DF denotes the ________ between point D and point F.
Distance
If a figure is a square, then it has four sides.
Figure ABCD is a square.
Therefore, ________________
Therefore, figure ABCD has four sides.
If today is Friday, then tomorrow is Saturday.
If tomorrow is Saturday then tomorrow there is no school.
Therefore, if _________.
Therefore, if today is Friday then tomorrow there is no school.
If two lines form a right angle, then the lines are perpendicular.
Line d and line e are not perpendicular.
Therefore, __________________.
Therefore, line d and line e do not for a right angle.
The midpoint of a segment is the point that divides the segment into two __________________.
Congruent segments
~p→~r
~p
∴ ____
∴ ~r
~p→~q
~q→s
∴ ____
∴ ~p→s
m→~n
n
∴ ____
∴ ~m
Points all in one plane are called ___________.
Coplanar points
If a figure's angles do not add up to 180°,
then it's not a triangle.
Figure DEF's angles do not add up to 180°.
Therefore, ___________.
Therefore, figure DEF is not a triangle.
If an angle is obtuse, then it is not a right angle.
If an angle is not a right angle, then its measure is not 90°.
Therefore, if _____________.
Therefore, if an angle is obtuse, then its measure is not 90°.
If two lines are parallel, then they do not intersect.
Line k and line m intersect.
Therefore, ___________.
Therefore, line k and line m are not parallel.
If point B is between A and C,
then AC=___+___
AC=AB+BC