Front | Back |
THEOREM 1: Right angle congruency
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If 2 angles are right angles, then they are congruent.
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THEOREM 2: Straight angle congruency
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If 2 angles are straight angles, then they are congruent.
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THEOREM 3: Conditional Statements and Contrapositive Statements
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If a conditional statement is true, then the contrapositive of the statement is also true.
(If p, then q == If not q, then not p). |
THEOREM 4: Supplementary same angles congruency
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If angles are supplementary to the same angle, then they are congruent.
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THEOREM 5: Supplementary/congruent angles congruency
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If angles are supplementary to congruent angles, then they are congruent.
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THEOREM 6: Complementary/same angle congruency
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If angles are complementary to the same angle, then they are congruent. p. 77
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THEOREM 7: Complementary/congruent angles congruency
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If angles are complementary to congruent angles, then they are congruent.
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THEOREM 8: Addition Property -- segment/2 congruent segments
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If a segment is added to 2 congruent segments, the sums are congruent. p. 82
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THEOREM 9: Addition Property -- angle/2 congruent angles
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If an angle is added to 2 congruent angles, the sums are congruent. p. 83
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THEOREM 10: Addition Property--congruent segments
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If congruent segments are added to congruent segments, the sums are congruent. P. 83
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THEOREM 11: Addition Property -- congruent angles/congruent angles
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If congruent angles are added to congruent angles, the sums are congruent. P. 83
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THEOREM 12: Subtraction Property
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If a segment (or angle) is subtracted from congruent segments (or angles), the differences are congruent. p.84
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THEOREM 13: Subtraction Property
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If congruent segments (or angles) are subtracted from congruent segments (or angles), the differences are congruent. p. 84
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THEOREM 14: Multiplication Property
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If segments (or angles) are congruent, their like multiples are congruent. p. 89
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THEOREM 15: Division Property
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If segments (or angles) are congruent, their like divisions are congruent. p. 90
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