Test 1 Flashcards
a statement that defines a mathematical object
definition in geometry
a basic mathematical term that is not defined using other mathematical terms
undefined term
names a location and has no size
point (named with capital letter)
a straight path that has no thickness and extends forever
line
any set of points that lie on the same line
collinear points
points that do not lie on the same line
non-collinear points
a flat surface that has no thickness and extends forever
plane
lines that lie in the same plane
coplanar
a plane that does not contain lines or points
non-coplanar
the point or set of points in which two figures meet
intersection
part of a line consisting of two endpoints and all points between them
line segment
shows that two segments are congruent
congruence statement
placed on diagrams, objects, and shapes to show that lengths are congruent
tick marks
a statement that is accepted as true without proof
postulate
states that (line seg.) AB is congruent to (line seg.) AB
reflexive property of congruence
states that if (line seg.) AB is congruent to (line seg.) CD, the CD is congruent to AB
symmetric property of congruence
states that if (line seg.) AB is congruent to (line seg.) CD, and CD is congruent to EF, then AB is congruent to EF
transitive property of congruence
the measure of the segment containing two points
distance
the point that divides the segment into two congruent parts
midpoint
a part of a line that starts at an endpoint and extends infinitely in one direction
ray
a figure formed by two rays with a common endpoint
angle
the common endpoint of an angle
vertex
a tool used to measure angles
protractor
what angle measurements are measured in
degrees
angles that are less than 90 degrees
acute
angles that equal 90 degrees
right
angles that are over 90 degrees and less than 180
obtuse
angles that are 180 degrees
straight
lines that intersect to form a right angle
perpendicular
coplanar lines that do not intersect
parallel
lines that are not in the same plane and do not intersect
skew lines
two angles whose sum of its measures is 90 degrees
complementary
two angles whose sum of its measures is 180 degrees
supplementary
two angles in the same plane that share a side and a vertex, but no interior angles
adjacent angles
adjacent angles whose non-common sides are opposite rays
linear pair
the process of reasoning that a rule or statement is true because several specific cases are true
inductive reasoning
an example that does not support the conjecture
counterexample
a statement that is believed to be true. if it is proven it becomes a theorem
conjecture
mathematical relationship expressed with symbols
formula
the sum of the side lengths of a closed geometric figure. The distance around a figure
perimeter
the size of the region bounded by the figure
area
