Shared Flashcard Set

Details

07 geometry midterms vocab
ch 1- 6
78
Mathematics
9th Grade
12/21/2007

Additional Mathematics Flashcards

 


 

Cards

Term
congruent
Definition
two figures have the same shape and size
Term
similar
Definition
two figures have the same shape
Term
line symmetry/ reflection symmetry
Definition
if a figure can be divided into two identical parts, there can be more than one line of symmetry
Term
midpoint
Definition
bisects a line segment into two shorter segments of equal length
Term
real number line
Definition
one-dimensional system n which points hav a single cordinate
Term
coordinate plane
Definition
two-dimensional system in which points have two coordinates
Term
slope
Definition
m, rise/ run= y2- y1/ x2- x1
Term
parallel
Definition
coplanar lines that do not intersect
Term
perpendicular
Definition
if the two slopes' product is equl to -1
Term
perimeter
Definition
the length around a figure
Term
area
Definition
the amount of area in an figure
Term
adjacent
Definition
if two angles share a common vertex and side, but have no common interior points
Term
segment bisector
Definition
is a segment, ray, line, or plane that intersects a segment at its midsegment
Term
angle bisector
Definition
a ray that divides the angle into two congruent angles
Term
conditional statement
Definition
if- then statement
Term
hypothesis
Definition
the "if" in the if- then statement
Term
conclusion
Definition
the "then" in the if- then statement
Term
converse
Definition
interchanging the hypothesis and the conclusion of a conditional statement
Term
counterexample
Definition
the hypothesis is true and the conclusion is not
Term
bicontional statement
Definition
if the statement is equivalent to the conditional statement and the converse, using "if and only if"
Term
addition property
Definition
if a= b, then a+ c= b+ c
Term
subtraction property
Definition
if a= b, then a- c= b-c
Term
multiplication property
Definition
if a= b, then ac= bc
Term
division property
Definition
if a= b and c doesn't =0, then a/ c= b/c
Term
reflexive property
Definition
a= a
Term
symmetric property
Definition
if a= b, then b= a
Term
transitive property
Definition
if a= b and b= c, then a=c
Term
substitution property
Definition
if a= b, then a may be substituted for b in an equation or and expression
Term
reflexive property of congruence
Definition
any geometric object is congruent to itself
Term
symmetric property of congruence
Definition
if one geometric object is congruent to a second, and the second object is congruent to the first
Term
trnsitive property of congruence
Definition
if one geometric object is congruent to a second, and the second object is congruent to a third, then the first object is congruent to the third object
Term
vertical angles
Definition
if two angles' sides form two pairs of opposite rays
Term
linear pair
Definition
if two adjacent angles' noncommon sides are opposite rays
Term
complementary
Definition
if two angles' sum of their measures is 90 degrees
Term
supplementary
Definition
if two angles' sum of measures is 180 degrees
Term
intersecting lines
Definition
are coplanar and have exactly one point in common
Term
oblique lines
Definition
intersecting lines meeting at a right angle, they are perpendicular
Term
skew lines
Definition
two lines that do not lie in the same plane
Term
negation
Definition
the hypothesis and the conclusion both become negative
Term
contrapositive
Definition
the negation of the converse
Term
trnsversal
Definition
a line that intersects two or more coplanar lines at different points
Term
vector
Definition
a quantity that has both magnitude and a diretion
Term
equilateral triangle
Definition
has three congruent sides
Term
isosceles triangle
Definition
has two or more congruent sides
Term
scalene triangle
Definition
has no congruent sides
Term
acute triangle
Definition
has three acute angles
Term
equiangular triangle
Definition
if all angles of an acute triangle are congruent
Term
right tringle
Definition
has exactly one right angle
Term
obtuse triangle
Definition
has exactly one on=btuse angle
Term
legs of a right triangle
Definition
the sides of the traingle that form the right angle
Term
hypotenuse of a right angle
Definition
the side opposite the right angle
Term
legs of an isosceles triangle
Definition
the two congruent sides
Term
base of an isosceles triangle
Definition
the third side of the triangle that isn't congruent to the other two sides
Term
congruence methods
Definition
- ASA
- SAS
- SSS
- AAS

not
- AAA
- SAA
Term
CPCTC
Definition
corresponding parts of congruent triangles are congruent
Term
perpendicular bisector of a triangle
Definition
a segment that bisects one side of the triangle
Term
angle bisector of a triangle
Definition
a segment that bisects one of the angles of the triangle
Term
median
Definition
a segment whose endpoints are a vertex and the midpoint of the other side
Term
altitude
Definition
a segment from a vertex that is perpendicular to the opposite side or to the line containing the opposite side
Term
circumcenter
Definition
the concurrent point of perpendicular bisectors, equidisdant from all the vertices
Term
incenter
Definition
concurrent point of the angle bisectors, equidistant from the three sides of the triangle
Term
centroid
Definition
concurrent point of the medians, two- thirds of the distance from each vertex to the midpoint of the opposite side
Term
orthocenter
Definition
concurrent point of the altitudes
Term
midsegment
Definition
connects the midpoints of two sides of a triangle
Term
polygon
Definition
a plane figure that is formed by three or more segments called sides
Term
convex
Definition
if no line that contains a side of the polygon contains a point in the interior of the polygon
Term
nonconvex/ concave
Definition
not a convex
Term
diagonal
Definition
a segment that joins two nonconsecutive vertices
Term
regular
Definition
if a polygon is equilateral and equiangular
Term
parllelogram
Definition
quadrilateral with two pairs of parallel opposite sides
Term
rhombus
Definition
a parallelogram that has all four sides congruent
Term
rectangle
Definition
a parallelogram that has four right angles
Term
square
Definition
a parallelogram that is both a rectangle and a rhombus
Term
trapezoid
Definition
a quadrilateral that has exactly one pair of opposite sides that are parallel
Term
isosceles trapezoid
Definition
the legs of the trapezoid are congruent
Term
kite
Definition
a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent
Supporting users have an ad free experience!