Studied by 222 peopleGeometry theorems 1-18 **EXTRA NOTES** Use Multiplication Property when segments and angles are greater than the given ones. Use Division Property when segments and angles are less than the given ones.
Theorem 1
If two angles are right angles, then they are congruent
Theorem 2
If two angles are straight angles, then they are congruent
Theorem 3
If a conditional statement is true, then the contrapositive of the statement is also true
Theorem 4
If angles are supplementary to the same angle, then they are congruent
Theorem 5
If angles are supplementary to congruent angles, then they are congruent
Theorem 6
If angles are complementary to the same angle, then they are congruent
Theorem 7
If angles are complementary to congruent angles, then they are congruent
Theorem 8
If a segment is added to two congruent segments, the sums are congruent (Addition Property)
Theorem 9
If an angle is added to two congruent angles, the sums are congruent (Addition Property)
Theorem 10
If congruent segments are added to congruent segments, the sums are congruent (Addition Property)
Theorem 11
If congruent angles are added to congruent angles, the sums are congruent (Addition Property)
Theorem 12
If a segment or angle is subtracted from congruent segments or angles, the differences are congruent (Subtraction Property)
Theorem 13
If congruent segments or angles are subtracted from congruent segments or angles, the differences are congruent (Subtraction Property)
Theorem 14
If segments or angles are congruent, their like multiples are congruent (Multiplication Property)
Theorem 15
If segments or angles are congruent, their like divisions are congruent (Division Property)
Theorem 16
If angles or segments are congruent to the same angle or segment, they are congruent to each other (Transitive Property)
Theorem 17
If angles or segments are congruent to congruent angles or segments, they are congruent to each other (Transitive Property)
Theorem 18
Vertical angles are congruent
Note
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