Math Unit 2
Terms
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- Perpendicular
- Lines, rays, or segments, that intersect at a right/ 90? angle.
- Angle assumptions:
-
You cannot assume right angles
You cannot assume if a line is perpendicular - Complementary Angles
- Two angles whose sum is 90?
- Supplementary Angles
- Two angles whose sum is 180?
- complementary/ supplementary theorems
-
•If angles are supplementary to the same angle they are congruent.
•If angles are supplementaryn to congruent angles, they are congruent.
•If angles are complementary to the same angle they are congruent.
•If angles are complementary to congruent angles they are congruent. - If a(n) segment/ angle is addeded to 2 congruent segments/ angles, the sums are congruent
- Addition Property
- If a(n) (congruent) segment/ angle is subtracted from congruent segments/ angles, the differences are congruent
- Subtraction property
- If segments/ angels are congruent, their like multiples are congruent.
- Multiplication Property
- If segments/ angles are congruent, their like divisions are congruent.
- Division Property
- If angles/ segments are congruent to the same/ congruent angles/ segments, they are congruent to eachother.
- Transitive Property
- Vertical Angles Theorem
- Vertical angles are congruent
- If <1 is complementary to <2 and <2 is congruent to <3, the <1 is complementary to <3.
- Subsitution Property
- Opposite rays
- Same vertex (endpoint) opposite directions
- Vertical angles
- Two angles are vertical angles if the rays forming the sides of one and the rays forming the sides of another are opposite rays.
- Can vertical angles be assumed?
- Yes