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Geometry - 3.5-3.7 Review
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Terms in this set (18)
What is the addition axiom?
equals added to equals results in equals
What is the subtraction axiom?
equals subtracted by equals result in equals
What is the substitution axiom?
equals can be substituted for each other in any equation
What is the partition axiom?
the whole is the sum of its parts
(breaking a segment or angle into its component parts OR building a segment or angle from its component parts)
Fill in the blank:
Complements and Supplements of Equal Angles are _______
Equal
Before listing that complements and supplements of equal angles are equal, what do you have to state?
that the angle formed by both angles are complementary or supplementary
What is the symbol for parallel lines?
What is a corresponding angle?
What are alternate interior angles?
What is a transversal?
a line that cuts across two parallel lines
What should you start and end your proof with?
start with given, end with proof
What is the exterior angle of a triangle?
angle created in a triangle when one of its legs are extended
What are the remote interior angles of a triangle?
the other two angles of a triangle that do not form a linear pair with a given exterior angle
What is the exterior angle theorem?
the measure of the exterior angle of a triangle will always be the sum of the measures of its two remote interior angles and will always be greater than either of its two remote interior angles
Why is the exterior angle of a triangle greater than its remote interior angle?
corresponding angles & alternate interior angles cause the exterior angle theorem
What is the sum of the measures of all three angles of a triangle?
180º
Knowing the exterior angle theorem, why do triangles add up to 180º?
the exterior angle, which consists of the sum of the two remote interior angles, can be added to the angle of its corresponding vertex to equal 180º because they are linear pairs
Lines will be parallel if...
any pair of corresponding angles or alternate interior angles are equal
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