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AG 3.2 Basic Properties

AB
Subtraction Property: If the measure of angle JNL = the measure of angle KNM thenthe measure of angle JNL – the measure of angle KNL = the measure of angle KNM – the measure of angle KNL
Substitution Property: If a = b thena can replace b and b can replace a in an expression
Substitution Property: If the measure of angle 1 + the measure of angle 2 = 180 degrees and the measure of angle 1 = the measure of angle 3, thenthe measure of angle 3 + the measure of angle 2 = 180 degrees.
If two lines intersect, thenthey intersect in one and only one point
Deductive reasoningUsing facts, definitions, and accepted properties in a logical order to reach a conclusion or show that a conjecture is always true.
Inductive reasoningA type of reasoning in which a prediction or conclusion is based on an observed pattern.
The measure of an exterior angle of a triangle is equal tothe sum of the measures of the two non-adjacent interior angles.
Reflexive Propertya = a
Reflexive Propertyline segment PQ is congruent to line segment PQ
Reflexive Propertyangle 3 is congruent to angle 3
Symmetric Property: If a = b, thenb = a
Symmetric Property: If line segment PQ is congruent to line segment RS then,line segment RS is congruent to line segment PQ
Transitive Property: If a = b and b = c , thena = c.
Transitive Property: If the measure of angle 1 is congruent to the measure of angle 2 and the measure of angle 2 is congruent to the measure of angle 3, thenthe measure of angle 1 is congruent to the measure of angle 3
Addition Property: If a = b , thena + c = b + c
Addition Property: If the line segment PQ is congruent to line segment RS, thenline segment PQ + the line segment QR is congruent to line segment QR + the line segment RS
Subtraction Property: If a = b, thena – c = b – c


Continuing Education
Harrison County
Bridgeport, WV

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