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point of concurrency for perpendicular bisectors

circumcenter

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point of concurrency for angle bisectors

incenter

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point of concurrency for medians

centriod

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point of concurrency for altitudes

orthocenter

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angle bisector

a ray that divides an angle into 2 congruent parts

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median

a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side

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altitude

a perpendicular segment from the vertex to the opposite side

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concurrent lines

three or more lines that intersect at the same point

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perpendicular bisector

a segment line ray or plane that is perpendicular to a segment at it's midpoint

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quadrilateral

a four-sided figure

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parallelogram

a quadrilateral with two pairs of opposite sides congruent

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rectangle

a parallelogram with four right angles

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rhombus

a parallelogram with four sides congruent

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square

a parallelogram with four right angles and four sides congruent

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kite

a quadrilateral with adjacent sides congruent and no opposite sids congruent

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trapezoid

a quadrilateral with one pair of parallel sides

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isosceles trapezoid

a trapezoid whose non-parallel sides are congruent

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consecutive angles

angles that share a side

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consecutive sides

sides that share a vertex and are next to each other

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diagonal

a line connecting two nonconsecutive vertices of a polygon

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base angles (of a trapezoid)

angles that share a base

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midsegment

a segment connecting the midpoints of two sides

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point of concurrency

the point at which three or more lines intersect

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perpendicular bisector of a triangle

a line that cuts a triangle directly in half

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negation

statement with the opposite truth value

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conditional

an if... then statement

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inverse

negates both parts of a conditional

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contrapositive

negates and switches the parts of a conditional

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equivalent statements

statements with the same truth value

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indirect reasoning

reasoning in which all possibilities are considered and all but one are proved false

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sss postulate

proves if triangles have three congruent sides, they are congruent

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sas postulate

proves if two sides and the angle between them are congruent in a pair of triangles, the triangles are congruent

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asa postulate

proves if two angles and the side they share are congruent in a pair of congruent triangles, the triangles are congruent

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aas

proves if two angles and a non-included side are congruent in a pair of triangles, the triangles are congruent

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CPCTC

corresponding parts of congruent triangles are congruent

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isosceles triangle

a triangle with two congruent sides

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corollary

a statement following a theorem

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transversal

a line that intersects two coplanar lines

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alternate interior angles

nonadjacent angles that lie on opposite sides of a transversal

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same side (consecutive) interior angles

angles that lie on the same side of a transversal

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corresponding angles

angles that lie on the same side of a transversal in corresponding positions

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alternate exterior angles

angles that lie outside of the lines on the opposite sides of a transversal

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same side exterior angles

angles that lie outside of the lines on the same side of a transversal

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linear pair

supplementary, adjacent angles

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vertical angles

angles that are made with intersecting opposite rays

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equilateral (also equiangular)

all sides congruent of a triangle

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equiangular (also equilateral)

all angles congruent of a triangle

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regular polygon

a polygon that is both equiangular and equilateral

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p

symbol for the hypothesis of a conditional

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q

symbol for the conclusion of a conditional

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biconditional

if then only if statement (both conditional and converse are true of a statement)

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deductive reasoning

reasoning logically to reach a conclusion

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law of detachment

if the first part of a conditional is true, the second part is true

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law of syllogism

if p then q, if q then r, if p then r

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reflexive property

a congruent to b, b congruent to a

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transitive property

a congruent to b, b congruent to c ,then, a congruent to c.

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complementary

angles whose measures add up to 90

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supplementary

angles whose measures add up to 180

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plane

a flat two dimensional surface

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line

a series of points extending in different directions without ending

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point

a location represented by a dot on a graph

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space

the set of all points, 3D

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skew lines

lines that are noncoplanar and never intersect

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parallel lines

coplanar lines that never intersect

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line

planes intersect in exactly one...

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point

lines intersect at exactly one..

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angle

two rays with the same endpoint

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