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# Triangle Congruence

Congruence Figures or shapes that have the same size, shape and measure
Equilateral triangle A triangle with three congruent sides
isosceles triangle a triangle with two equal sides
scalene triangle a triangle with no congruent sides
Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180 degrees
Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
Isosceles Triangle Theorem If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent
corresponding parts matching parts of congruent polygons
CPCTC corresponding parts of congruent triangles are congruent
Congruency Statement Statement that tells which parts in one triangle correspond to the parts in the other triangle
SSS Postulate If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
SAS Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
HL Postulate If a hypotenuse and leg of one right triangle are congruent to the corresponding hypotenuse and leg of a second right triangle, then the triangles are congruent.
ASA Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
AAS postulate If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another, then the two triangles are congruent.
Created by: rmosley

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