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44 Cards in this Set
 Front
 Back
altitude of a triangle

Segment that is perpendicular from a vertex to the lince containing the opposite side


angle bisector of a triangle

Segment that bisects an angle of a triangle and has one endpoint on the opposite side


CPCTC

"Corresponding parts of congruent triangles are congruent"


congruent triangles

Triangles whose corresponding angles and corresponding sides are congruent


distance from a point to a line

Length of the perpendicular from the point to the line.


median of a triangle

segment that extends from a vertex to the midpoint of the opposite side


hypotenuse

Side of a right triangle that is opposite right angle


legs of a right triangle

Sides opposite the acute angles


right triangle

triangle with one right angle


acute angle

angle whose measure is between 0 and 90


acute triangle

triangle with three acute angles


adjacent angles

two coplanar angles that have a common vertex,a common side, and no common interior points


alternate exterior angles

pair of nonadjacent angles, both exterior, on opposite sides of the transversal


alternate interior angles

pair of nonadjacent angles, both interior, on opposite sides of the transversal


angle

union of two noncollinear rays with a common endpoint


auxiliary line

lines, segments, rays, or points added to a figure in order to facilitate a proof or an understanding of a problem


between points

Given three collinear points X, Y, and Z, Y is between X and Z if and only if XY+YZ=XZ


between rays

Given three cooplanar rays OA, OT, and OB, OT is between OA and OB if and only if: m of AOT+m of TOB=m of AOB


biconditional

"If and only if" statement formed by combining a conditional and its converse into one statement


angle bisector

ray that seperates an angle into two angles of egual measures


segment bisector

any line, segment, ray, or plane that intersects a segment at its midpoint


collinear

points that lie on the same line


complementary angles

two angles whose measures sum to 90


conclusion

"Then" part of a conditional statement


conditional

statement formed by joining two statements, p and q, with the words if and then


congruent angles

angles that have egual measures


congruent segments

segments having equal measures


contrapositive

statement related to a conditional statemtn in the form: If ~q, then ~p


converse

statement related to a to a conditional statement in the form:If q, then p


convex polygon

polygon in which the lines containing the sides do not contain points in the polygon's interior


coordinate

number paired with each point on a number line


coplanar

points that lie on the same plane


corollary

theorem whose justification follows from another theorem


corresponding angles

pair of nonadjacent anglesone interior, one exteriorboth on the same side of the transversal


decagon

a 10sided polygon


deductive reasoning

reasoning logically from given statements to a desired conclusion


diagonal (of a polygon)

segment that joins two nonconsecutive vertices


distance

absolute value of the difference of the cooridinates of two distinct points on a line


edge (plane)

line that separates a plane into two halfplanes


equiangular triangle

triangle in which all angles are congruent


equilateral triangle

triangle in which all sides are congruent


formal proof

a logical argument in which each statement requires justification


Given

hypothesis of a proof


halfplanes

two halves of a plane that are separated by a line
