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Congruent Triangles
 Congruent
Polygons
 Corresponding
Parts of Congruent
Triangles are Congruent
 Third
Angles Theorem
• If two angles of a triangle are congruent, then the
third angle is congruent.
 Side-Side-Side
 Side-Angle-Side
 Angle-Side-Angle
 Angle-Angle-Side
 Isosceles Triangle
• A triangle where two sides are congruent
 Legs
• The congruent sides of an isosceles triangle
 Base
• The third side of an isosceles triangle
 Vertex
angle
• The angle formed by the two congruent legs in
an isosceles triangle
 Base
Angles
• Two angles connected to the base of an
isosceles triangle
• They are congruent
 Isosceles Triangle
Theorem
• If two sides of a triangle are congruent, then the
angles opposite those sides are congruent
 Converse
of Isosceles Triangle Theorem
• If two angles of a triangle are congruent, then the
sides opposite those angles are congruent
 Isosceles Vertex
Bisector Theorem
• If a line bisects the vertex angle of an isosceles
triangle, then the line is also the perpendicular
bisector of the base.
 Equilateral
Triangle
• A triangle where all three sides are the same
length.
 Equilateral
Triangle Theorem
• If a triangle is equilateral, then it’s also
equiangular (all angles are congruent)
 Equiangular
Triangle Theorem
• If a triangle is equiangular, then it’s also
equilateral (all sides are congruent)
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