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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
_________________________________
_________________________________.
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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
_________________________________.
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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
_______________.
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