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geometry
vocabulary of chapters 1-4
94
Education
10th Grade
11/03/2010

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Term
acute angle
Definition
an angle that measures less than 90 degrees
Term
adjacent angles
Definition
2 angles that share a ray as a side
Term
angle
Definition
2 rys that share an endpoint
Term
angle bisector
Definition
cuts an angle into 2 congruent parts.
Term
acute triangle
Definition
a triangle with 3 acute angles
Term
AIA converse
Definition
if 2 lines are cut by a transversal and the alternate interior angles are also congruent, then those 2 lines are parallel.
Term
AIA theorem
Definition
if a pair of parallel lines are cut by a transversal, then the alternate interior angles are congruent.
Term

alternate interior angles

(AIA)

Definition
2 non adjacent angles in between 2 lines on opposite sides of the transversal.
Term
AAS
Definition
the triangles are congruent if 2 angles and a side not part of the triangle are congruent to the corresponding part of another triangle.
Term
ASA
Definition
the triangles are congruent if one included side of the triangle are congruent to 2 angles and the included side of the other triangle.
Term
biconditional
Definition
the "if and only if" statement used when the conditional and the converse are true.
Term
base of an isosceles triangle
Definition
The thrid part, other than the legs is the base of a triangle(isosceles)
Term
Base angles of an isosceles triangle
Definition
the angles of the base in the isosceles triangle.
Term
collinear
Definition
3 points on the same line, 2 points are always collinear
Term
congruent
Definition
equal in size and shape
Term
coplanar
Definition
4 more or more points on the same plane, 3 points are always coplanar
Term
complementary angles
Definition
2 angles that add up to 90 degrees (right angle)
Term
conclusion
Definition
the "then" part of a conditional
Term
conditional
Definition
the "if" and "then" statement
Term
congruent
Definition
equal in size and shape
Term
converse
Definition
when the conclusion and hypothesis have changed in a conditional
Term
counter example
Definition
an example that tells its wrong
Term
CA converse
Definition
when 2 lines are cut by a transversal for the corresponding angles to be congruent hen the lines are parallel.
Term
concave
Definition
curved structure or line going inwards of a shape
Term
convex
Definition
a surface that curves outwards of the shape
Term
correspomding angles
Definition
2 angles in the same position along the transversal
Term
corollary
Definition
a statement that an be proved by using a theorem
Term
distance
Definition
the lengh of a point to another
Term
deductive reasoning
Definition
trig to prove a statement by using postulates, theorems, and definitions
Term
distributive property
Definition
distributing the number or variable to the numbers or variables that are inside of the parenthesis
Term
decagon
Definition
a polygon with 10 sides
Term
diagonal
Definition
a line connecting 2 non adjacent vertices of a shape
Term
equidistant
Definition
2 points the same distance from the 3rd point
Term
equal
Definition
when 2 numbers have the same value
Term
equilangular triangle
Definition
a triangle with all congruent angles
Term
equilateral triangle
Definition
a triangle with all congruent sides
Term
exterior angle
Definition
an angle outside the parallel lines or figure
Term
given
Definition
information given when writting proofs
Term
hypothesis
Definition
the "if" part of a conditional
Term
hexagon
Definition
a shape with six sides
Term
hypotenuse
Definition
the opposite side of the right angle in a right triangle
Term
intersection
Definition
lines that touch(at a point) planes that touch at a line)
Term
inductive reasoning
Definition
prediction or conclusion based on examples shown before
Term
interior angle
Definition
angles between parallel lines cut by a transversal
Term
isosceles triangle
Definition
 a triangle with 2 congruent sides
Term
linear pair
Definition
an adjacent pair when their rays form a straight angle ( they always are supplementary 180)
Term
leg of a right triangle
Definition
the other sides of the triangle other than the hypotenuse
Term
leg of an isosceles triangle
Definition
the congruent sides of an isosceles triangle other than the base
Term
midpoint
Definition
the point that is equidistant from the points at the end of a line segment
Term
noncollinear
Definition
group of points that are not in the same line of a plane
Term
noncoplanar
Definition
points not on the same plane
Term
nonogon
Definition
 a shape with 9 sides
Term
obtuse angle
Definition
an angle measuring more than 90 degrees
Term
obtuse triangle
Definition
 a triangle with one obtuse angle
Term
octagon
Definition
a shape with 8 sides
Term
plane
Definition
 a flat surface that extends in all directions
Term
point
Definition
 represents a location/ vertex(smallest unit in geometry)
Term
perpendicular
Definition
a straight line that right angles to another line
Term
postulate
Definition
a rule that we think is true
Term
proof
Definition
 sequence of conclusions gotten out of an example trying to prove a statement
Term
property
Definition
when you tell apart a shape
Term
parallel lines
Definition
lines that never touch, going in the same direction
Term
parallel planes
Definition
planes that never touch going in the same direction
Term
pentagon
Definition
a shape with 5 sides
Term
polygon
Definition
a closed figure having 3 or more sides
Term
paragraph proof
Definition
same as a proof except in a form of a paragraph
Term
perpendicular bisector
Definition
a line that is perpendicular to the segment midpoint
Term
quadrilaleral
Definition
a shape having 4 sides
Term
ray 
Definition
a series of points that extend in direction
Term
right angle
Definition
an angle measuring exactly 90 degrees
Term
reflexive property
Definition
anything equal to itself
Term
right triangle
Definition
a triangle with 1 right angle
Term
segment
Definition
group of points that extend between 2 end points
Term
segment bisector
Definition
cuts a segment into 2 congruent parts
Term
space
Definition
a set of all points
Term
straight angle
Definition
an angle measuring exactly 180 degrees
Term
supplementary angles
Definition
angles that sum up to 180 degrees
Term
same side interior angles
Definition
two angles inside 2 lines on the same side of the transversal
Term
scalene triangle
Definition
a triangle with no congruent sides
Term
side of a triangle
Definition
the segments of a triangle
Term
skew lines
Definition
lines in different planes that never touch and go in different directions
Term
sas
Definition
when 3 sides of a triangle are congruent to the same sides of the other triangle
Term
sss
Definition
if 2 sides of a triangle and the included angle are congruent to the same of the other triangle
Term
theorem
Definition
a rule that is proven to be true
Term
Transitive property
Definition
states any numbers that are equal
Term
two column proof
Definition
proofs in the form of 2 columns (statements and reasons)
Term
transversal
Definition
a line that intersects coplanar lines in many different points
Term
triangle
Definition
a figure that has 3 sides and always measures 180 degrees
Term
vertex 
Definition
the point where the sides of the angle meet
Term
vertical angles
Definition
pair of angles when they go across each other when 2 lines intersect
Term
vertex of a triangle
Definition
the points of a triangle
Term
vertex angle of an isosceles triangle
Definition
the angle opposite of the base
Term
zero angle
Definition
an angle measuring exactly 0 degrees
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