Download Lap 4 Definitions and Conjectures The triangle sum conjecture C

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Lap 4 Definitions and Conjectures
The triangle sum conjecture C-17: The sum of the measures of the interior angles in any triangle is 180.
Auxiliary Line: An extra line that help with a proof.
Collinear points: The set of three or more point on the same line.
Third Angle Conjecture C-18: If two angles of one triangle are equal in measure to two angles of another
triangle then the corresponding third angles of the triangles are congruent.
Isosceles triangle: A triangle with at least two congruent sides.
Linear pair of angles: A pair of two supplementary adjacent angles formed by two intersecting lines.
Vertex angle: The angle between two congruent sides in an isosceles triangle.
Base angles: The two angles different from the vertex angle in an isosceles triangle.
Base side in an isosceles triangle: The side between the two base angles.
Vertical angles: Opposite angles when two lines intersect.
Legs in an isosceles triangle: The two congruent sides in an isosceles triangle.
Isosceles triangle conjecture C-19: If a triangle is isosceles then its base angles are congruent.
Converse of the isosceles triangle conjecture C-20: If a triangle has two congruent angles, then it is an
isosceles triangle.
Equilateral triangle: A triangle with all the sides congruent.
Scalene triangle: A triangle with all three sides are different in length.
Triangle inequality conjecture C-21: The sum of the lengths of any two sides of a triangle is greater than
the length of the third side.
Side angle inequality conjecture C-22: In a triangle, if one side is longer than another side, then the
angle opposite the longer side is larger than the angle opposite the shorter side.
Exterior angle in a triangle: The angle created by the extension of one side of a triangle and the other
side.
Adjacent interior angle in a triangle: The linear pair of angle of the exterior angle.
Remote interior angles in a triangle: The non-adjacent angles of the exterior angle.
Triangle exterior angle conjecture C-23: The measure of an exterior angle of a triangle is equal to the
sum of the measures of the remote interior angles.
Corresponding angles: The angles in matching corners when two lines are intersected by a transversal.
AIA: Angles in opposite sides of the transversal and between the two parallel lines.
AEA: Angles in opposite sides of the transversal and outside of the parallel lines.
SSS Congruence conjecture C-24: If the three sides of one triangle are congruent to the three sides of
another triangle, then the triangles are congruent.
SAS Congruence conjecture C-25: If the two sides and the included angle of one triangle are congruent
to the two sides and the included angle of another triangle, then the triangles are congruent.
AAS, ASA, Congruence conjecture C-26 and C-27: If two angles and one side of a triangle are congruent
to the corresponding two angles and one side of another triangle, then the triangle are congruent.
CPCTC-corresponding parts in congruent triangles are congruent.
Flow chart: the visual presentation of the logical reasoning of a proof.
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