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Transcript
Chapter 4 Vocabulary & Conjectures 4.1 Triangle Sum Conjecture The sum of the measures of the angles in every triangle is _________. Paragraph Proofs 4.1 Auxiliary Line 4.1 Leg(of an isosceles triangle) 4.2 4.2 4.2 4.3 4.3 Isosceles Triangle Conjecture If a triangle is isosceles, then _________________________________. Converse of Isosceles Triangle Conjecture If a triangle has two congruent angles, then ___________________________. Triangle Inequality Conjecture The sum of the lengths of any two sides of a triangle is _____________ the length of the third side. Side-Angle Inequality Conjecture In a triangle, if one side is longer than another side, then the angle opposite the longer side is _________________________________ _________________________________. 1 Exterior Angle 4.3 Adjacent Interior Angle 4.3 Remote Interior Angles 4.3 4.3 4.4 Triangle Exterior Angle Conjecture The measure of an exterior angle of a triangle___________________________ _________________________________. SSS Congruence Conjecture If the three sides of one triangle are congruent to the three sides of another triangle, then _________________________________. Included Angle 4.4 4.4 SAS Congruence Conjecture If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then ______________________________. Included Side 4.5 4.5 4.5 ASA Congruence Conjecture If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then _________________________________. SAA Congruence Conjecture If two angles and a non-included side of one triangle are congruent to the corresponding two angles and nonincluded side of another triangle, then _________________________________. 2 CPCTC 4.6 Flowchart Proof 4.7 Bi-conditional Statement 4.8 4.8 Vertex Angle Bisector Conjecture In an isosceles triangle, the bisector of the vertex angle is also the ___________ and the ____________. 4.8 Equilateral/Equiang ular Triangle Conjecture Every equilateral triangle is _______________, and, conversely, every equiangular triangle is _______________. 3