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Synonyms of if-then statements |
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conditional statements or conditionals |
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The letter that represents the hypothesis |
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The letter that represents the conclusion |
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Forms of an if-then statement |
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If p, then q
p implies q
p only if q
q if p |
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A statement that contains the words "if and only if" |
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The basic form of a biconditional |
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If a=b and c=d, then a+c=b+d |
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If a=b and c=d, then a-c=b-d |
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if a=b and c=d, then a-c=b-d |
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If a=b, and c is not equal to 0, then a/c=b/c |
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If a=b, then either a or b may be substituted for the other in any equation or inequality |
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Reflexive Property of Congruence |
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Definition
Segment DE is congruent to Segment DE
Angle D is congruent to Angle D |
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Symmetric Property of Congruence |
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If segment DE is congruent to segment FG, then segment FG is congruent to segment DE
If angle D is congruent to angle E, then angle E is congruent to angle D |
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Transitive Property of Congruence |
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If segment DE is congruent to segment FG and segment FG is congruent to segment JK, then segment DE is congruent to segment JK
If angle D is congruent to angle E and angle E is congruent to angle F, then angle D is congruent to angle F
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If M is the midpoint of segment AB, then AM is 1/2(AB) and MB is 1/2 (AB)
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If ray BX is the bisector of angle ABC, then the measure of ABX=1/2 of the measure of angle ABC and the measure of angle XBC=1/2 of the measure of angle ABC. |
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If point B lies in the interior of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of angle AOC.
If angle AOC is a straight angle and B is any point not on line AC, then the measure of AOB + measure of BOC = 180. |
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Segment Addition Postulate |
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If B is between A and C, then AB + BC = AC. |
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