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44 Cards in this Set
- Front
- Back
altitude of a triangle
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Segment that is perpendicular from a vertex to the lince containing the opposite side
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angle bisector of a triangle
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Segment that bisects an angle of a triangle and has one endpoint on the opposite side
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CPCTC
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"Corresponding parts of congruent triangles are congruent"
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congruent triangles
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Triangles whose corresponding angles and corresponding sides are congruent
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distance from a point to a line
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Length of the perpendicular from the point to the line.
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median of a triangle
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segment that extends from a vertex to the midpoint of the opposite side
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hypotenuse
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Side of a right triangle that is opposite right angle
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legs of a right triangle
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Sides opposite the acute angles
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right triangle
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triangle with one right angle
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acute angle
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angle whose measure is between 0 and 90
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acute triangle
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triangle with three acute angles
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adjacent angles
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two coplanar angles that have a common vertex,a common side, and no common interior points
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alternate exterior angles
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pair of nonadjacent angles, both exterior, on opposite sides of the transversal
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alternate interior angles
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pair of nonadjacent angles, both interior, on opposite sides of the transversal
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angle
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union of two noncollinear rays with a common endpoint
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auxiliary line
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lines, segments, rays, or points added to a figure in order to facilitate a proof or an understanding of a problem
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between points
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Given three collinear points X, Y, and Z, Y is between X and Z if and only if XY+YZ=XZ
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between rays
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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
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biconditional
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"If and only if" statement formed by combining a conditional and its converse into one statement
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angle bisector
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ray that seperates an angle into two angles of egual measures
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segment bisector
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any line, segment, ray, or plane that intersects a segment at its midpoint
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collinear
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points that lie on the same line
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complementary angles
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two angles whose measures sum to 90
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conclusion
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"Then" part of a conditional statement
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conditional
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statement formed by joining two statements, p and q, with the words if and then
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congruent angles
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angles that have egual measures
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congruent segments
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segments having equal measures
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contrapositive
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statement related to a conditional statemtn in the form: If ~q, then ~p
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converse
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statement related to a to a conditional statement in the form:If q, then p
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convex polygon
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polygon in which the lines containing the sides do not contain points in the polygon's interior
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coordinate
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number paired with each point on a number line
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coplanar
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points that lie on the same plane
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corollary
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theorem whose justification follows from another theorem
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corresponding angles
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pair of nonadjacent angles--one interior, one exterior--both on the same side of the transversal
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decagon
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a 10-sided polygon
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deductive reasoning
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reasoning logically from given statements to a desired conclusion
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diagonal (of a polygon)
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segment that joins two nonconsecutive vertices
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distance
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absolute value of the difference of the cooridinates of two distinct points on a line
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edge (plane)
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line that separates a plane into two half-planes
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equiangular triangle
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triangle in which all angles are congruent
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equilateral triangle
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triangle in which all sides are congruent
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formal proof
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a logical argument in which each statement requires justification
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Given
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hypothesis of a proof
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half-planes
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two halves of a plane that are separated by a line
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