Geometry Unit 1 Flashcards
point def. and example
A finite space
represented by a
dot. Ex: A or pt. A
CAPITAL
line def. and example
Through any
2 points,
there is one
line. Extends
without end.
EX: 2 UPPER CASE letters. or Line CURSAVE LETTER
segment def. and example
Has two
endpoints.
Doesn’t go
on forever.
EX: 2 UPPER CASE letters
ray def. and example
Initial point,
then
continues
infinitely in
one direction. EX: 2 UPPER CASE letters, 1st letter is initial point.
opp. rays def.
Two rays
with the
same initial
point, but go
in opposite
directions.
Forms a
straight line.
collinear points def. and example
points that lie on the same line. EX: pts. A, B, and C.
plane def. and example
Extends in
all
directions,
forming a
surface. 2 dimensions.
EX: 3 noncollinear points. Plane XYZ. Plane A.
coplanar points def. and example
Points that
lie on the
same plane. EX: pts. X, Y, and Z
intersection def.
Set of
points 2 or
more
figures have
in common.
if asked to graph an inequality on a number line and it includes “or” what does that mean?
it means that solution includes all numbers to satisfy either inequality.
distance
Positive length between two points (always pos.)
congruent segments
segments with the same length.
AB with segment over it and ≅ symbol means the item itself but AB=CB means the #’s (length)
postulate
rules of geometry that are not proved
ruler postulate def and formula
The distance between 2 points is
the absolute value of the
difference between them.
Distance=|c1-c2|
segment addition postulate
Adding two pieces of a
segment = the whole
EX: AB+BC=AC
midpoint def and notation
point in middle of segment.
M is the midpoint of AB (with line over AB).
segment bisector def. and not.
point, line, or seg. that cuts a segment in half. CD bisects AB. (line and segment signs over letters)
perpendicular def and notation
something that intersects at a right angle. AB ⊥CD (with lines over letters)
perpendicular bisecor def
perpen. line or segment that bisects a segment
distance def and ex.
legnth between 2 points measured in units. AB.
parallel lines notation
a||m
angle def
2 different rays w/same initial point
vertex def
common initial point where rays meet
sides def and not.
the rays of the angle. vertex must come first
acute def
more than 0* but less than 90*
obtuse def
more than 90* but less than 180*
straight def.
measures 180*
angle bisector def.
ray that cuts an angle in half to make 2 congruent angles
adjacent angles def
2 angles that share a common side and vertex
angle addition postulate def and not.
if u add 2 adjacent angles, it totals to get theirr sum. m∠ABC + m∠CBD= m ∠ABD
complementary angles def
2 angles that add up to 90*
supplementary angles def
2 angles that add up to 180*
linear pair def.
2 adjacent angles whose non common sides are opp. rays. **they will always add to 180.
vertical angles def.
2 angles whose sides form 2 pairs of opp. rays **they will always be congruent
midpoint formula
(x1 + x2)/2, (y1 + y2)/2
distance formula
d=√(x-x)²+(y-y)²