geometry
Cards
coordinate plane
a plane for which 2 perpendicular number lines that intersect at their zero points have been used to match the points of the plane one to one with ordered pairs of numbers
x-axis
the horizontal number line in a coordinate plane
y-axis
the vertical number line in a coordinate plane
origin
where the coordinate axies intersects
quadrant
one of the four regions into which the 2 perpendicular axes of a coordinate plane divide the plane
Acute angle
a angle whose degree measure is less than 90
adjacent angles
2 angles in the same plane that have a common vertex and a common side, but no common interior points
angle
a figure consisting of two noncollinear rays with a common endpoint
angle bisector
divides an angle into 2 congruent angles
area
the number of square units contained in the interior of a figure
collinear
points that lie on the same line
complementary angles
2 angles whose degree measures have a sum of 90
congruent
when 2 segments have the same length
coplanar points
points that lie in the same plane
degree
units used to measure angles
exterior
the outside of the angle
informal proof
when you write a paragraph to explain why a conjecture for a given situation is true
interior of a angle
inside of a angle
intersection
the set of points that are in both figures
line
a basic undefined term of geometry
linear pair
adjacent angles whose noncommon sides are opposite rays
measure
the distance between 2 points
midpoint
the point between 2 other points
noncollinear
points that dont lie on the same line
obtuse angle
a angle that is greater than 90 and less than 180
opposite rays
the common endpoint of opposite rays
paragraph proof
a proof writeen in the form of a paragraph
perimeter
the distance around a figure
perpendicular lines
special intersecting lines that form right angles
plane
a flat surface that extend indefinitely in all directions and have no thickness
point
a dot
postulate
a statement that describes a fundametnal relationship between the basic terms of geometry
proof
a logical argument in which each statement you make is backed up bya a statement that is accepted as true
protractor postulate
states that there can only be one 55 angle on either side of a given ray
pythagorean theorem
a2+b2=c2
ray
extends indefinitely on one direction and has one endpoint
right angle
a angle that measures 90 degrees
ruler postulate
2 points on any line can always be paired with real numbers
segement
a section of a line
segment bisector
any segment, line, or plane that intersects a segment at its midpoint
sides of a angle
the outer sides of a angle
space
a boundless three dimensional set of all points
straight angle
an angle formed by opposite rays
supplmentary angles
2 angles whose measures have a sum of 180
theorem
a statement that can be proven
three dimensional figure
a model
vertex
the common endpoint
vertical angles
2 nonadjacent angles formed by 2 intersecting lines
distance formula
a formula that has been developed form pythagorean theorem to find the distance between 2 points in a coordinate plance
d=square root of (x2-x1)squared+(y2-y1)squared
midpoint formulas
a+b/2 (x1+x2/2 , y1+y2/2)
ordered pair
a pair of numbers given in a specific order
x-coordinate
the first coordinate of the ordered pair
y-coordinate
the second coordinate of an ordered pair
list the possibilites
a way to recognize all the names for a given figure
problem-solving plan
1. explore the problem
2. plane the solution
3. solve the problem
4. examine the solution
