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67 terms

Geometry Exam Vocab

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point of concurrency for perpendicular bisectors
circumcenter
point of concurrency for angle bisectors
incenter
point of concurrency for medians
centriod
point of concurrency for altitudes
orthocenter
angle bisector
a ray that divides an angle into 2 congruent parts
median
a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side
altitude
a perpendicular segment from the vertex to the opposite side
concurrent lines
three or more lines that intersect at the same point
perpendicular bisector
a segment line ray or plane that is perpendicular to a segment at it's midpoint
quadrilateral
a four-sided figure
parallelogram
a quadrilateral with two pairs of opposite sides congruent
rectangle
a parallelogram with four right angles
rhombus
a parallelogram with four sides congruent
square
a parallelogram with four right angles and four sides congruent
kite
a quadrilateral with adjacent sides congruent and no opposite sids congruent
trapezoid
a quadrilateral with one pair of parallel sides
isosceles trapezoid
a trapezoid whose non-parallel sides are congruent
consecutive angles
angles that share a side
consecutive sides
sides that share a vertex and are next to each other
diagonal
a line connecting two nonconsecutive vertices of a polygon
base angles (of a trapezoid)
angles that share a base
midsegment
a segment connecting the midpoints of two sides
point of concurrency
the point at which three or more lines intersect
perpendicular bisector of a triangle
a line that cuts a triangle directly in half
negation
statement with the opposite truth value
conditional
an if... then statement
inverse
negates both parts of a conditional
contrapositive
negates and switches the parts of a conditional
equivalent statements
statements with the same truth value
indirect reasoning
reasoning in which all possibilities are considered and all but one are proved false
sss postulate
proves if triangles have three congruent sides, they are congruent
sas postulate
proves if two sides and the angle between them are congruent in a pair of triangles, the triangles are congruent
asa postulate
proves if two angles and the side they share are congruent in a pair of congruent triangles, the triangles are congruent
aas
proves if two angles and a non-included side are congruent in a pair of triangles, the triangles are congruent
CPCTC
corresponding parts of congruent triangles are congruent
isosceles triangle
a triangle with two congruent sides
corollary
a statement following a theorem
transversal
a line that intersects two coplanar lines
alternate interior angles
nonadjacent angles that lie on opposite sides of a transversal
same side (consecutive) interior angles
angles that lie on the same side of a transversal
corresponding angles
angles that lie on the same side of a transversal in corresponding positions
alternate exterior angles
angles that lie outside of the lines on the opposite sides of a transversal
same side exterior angles
angles that lie outside of the lines on the same side of a transversal
linear pair
supplementary, adjacent angles
vertical angles
angles that are made with intersecting opposite rays
equilateral (also equiangular)
all sides congruent of a triangle
equiangular (also equilateral)
all angles congruent of a triangle
regular polygon
a polygon that is both equiangular and equilateral
p
symbol for the hypothesis of a conditional
q
symbol for the conclusion of a conditional
biconditional
if then only if statement (both conditional and converse are true of a statement)
deductive reasoning
reasoning logically to reach a conclusion
law of detachment
if the first part of a conditional is true, the second part is true
law of syllogism
if p then q, if q then r, if p then r
reflexive property
a congruent to b, b congruent to a
transitive property
a congruent to b, b congruent to c ,then, a congruent to c.
complementary
angles whose measures add up to 90
supplementary
angles whose measures add up to 180
plane
a flat two dimensional surface
line
a series of points extending in different directions without ending
point
a location represented by a dot on a graph
space
the set of all points, 3D
skew lines
lines that are noncoplanar and never intersect
parallel lines
coplanar lines that never intersect
line
planes intersect in exactly one...
point
lines intersect at exactly one..
angle
two rays with the same endpoint