Study Geometry Chapter 1 Flash Cards

 
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Geometry Chapter 1

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circumference
2 pi radius
pi diameter
area of a circle
pi radius squared
area of a triangle
base times height over 2
1/2 base times height
area of a rectangle
length times width
area of a square
s squared
2 angles whose sum is 180 degrees
supplementary angles
2 angles whose sum is 90 degrees
complementary angles
adjacent and supplementary angles
2 adjacent angles whose non-common sides are opposite rays
linear pair
2 angles that share a common vertex and whose sides from 2 pairs of opposite rays
vertical angles
a ray that divide an angle into 2 congruent adjacent angles
angle bisector
used for finding the coordinates of the midpoint of a segment in a coordinate plane
midpoint formula
a segment, ray, line, or plane that intersects a segment at its midpoint
segment bisector
the point that divides a segment into two equal parts
midpoint
2 angles that share a common vertex and side, but have no common interior parts
adjacent angles
exactly 180 degrees
straight angle
between 90 and 180 degrees
obtuse angle
exactly 90 degrees
right angle
between 0 and 90 degrees
acute angle
if p is in the interior of <qrs, then m<qrp + m<prs = m<qrs
angle addition postulate
the rays of an angle can be matched up with real numbers (from 0 to 180) on a protractor so that the measure of the angle equals the absolute value of the difference of the two numbers
protractor postulate
segment ab=6
length of a segment (notation)
angles with the same measure
congruent angles
2 rays that share the same endpoint (or initial point)
angle
segments that have the same length. if ab and xy have the same length then ab = xy
congruent segments
used to find distance between 2 points on a coordinate plane
distance formula
if b is between a and c, then ab + bc = ac.
if ab + bc = ac, then b is between a and c
segment addition postulate
points on a line can be matched one to one with the real numbers. the real number that corresponds to a point is the coordinate of the point
ruler postulate
all points or sets of points the figures have in common
intersection
2 rays tat share a common initial point and face opposite directions
opposite rays
points that lie on the same plane
coplanar points
points that lie on the same line
collinear points
piece of line with only one endpoint (initial point) and continues forever in one direction
named by the endpoint and a second point on a ray (name MUST begin with the endpoint!)
ray
can be called a segment
a section of a line that has 2 endpoints
named by its endpoints
line segment
extends forever in 2 dimensions (has no thickness)
a flat surface consisting of infinitely many points
usually represented by a 4-sided figure
named with a capital letter or 3 points on the surface of the plane
plane
extends forever in one dimension
has arrows on each end
contains an infinite number of points
always straight
named with a lowercase script letter or by any two points on the it
line
has no dimension (no length, width, thickness)
represented by a dot
named using one capital letter
point
an example that shows a conjecture is false
counterexample
an unproven statement based on observations
conjecture
a process that includes looking for patterns and making conjectures
inductive reasoning
uses facts, definitions, and accepted properties to make an argument
deductive reasoning
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