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27 Cards in this Set
- Front
- Back
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hypothesis |
'if' statement (p) |
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conclusion |
'then' statement (q) |
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notation |
p -> q |
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biconditional |
if and only if |
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inverse |
negate p and q |
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converse |
switch order of p and q |
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contrapositive |
negate and switch order of p and q |
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inductive reasoning |
use a pattern |
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deductive reasoning |
use a rule or logic |
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syllogism |
conclusion becomes the next hypothesis |
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corollary |
statement that follows from a theorum |
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median |
centroid, 2/3 theorum, inside, from vertex to mdpt of opp side |
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altitude |
orthocenter, in out on, from vertex to perpendicular to opp side |
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perpendicular bisector |
circumcenter, equidistant from vertices, in out on, perpendicular and mdpt of a side |
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angle bisector |
incenter, equidistant to sides, inside, bisects angles |
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properties of parallelogram |
1- both pairs opp sides cngrnt 2- both pairs opp angles cngrnt 3- angle suppl to both cons int angles 4- diagonals bisected 5- one pair opp sides // and cngrnt |
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properties of a rhombus |
1- 4 cngrnt sides 2- diagonals bisect opp angles 3- diagonals perpendicular 4- diagonals form 4 cngrnt right triangles |
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properties of a rectangle |
1- 4 right angles 2- congruent diagonals ** little triangles inside are isosceles** |
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properties of a square |
1- all prop of parallelogram 2- all prop of a rhombus 3- all prop of a rectangle |
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properties of a trapezoid |
1- 1 pair opp sides // 2- mdsgmt // to both bases 3- mdsgmt=(base 1+base 2)/2 |
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properties of an isosceles trapezoid |
1- base angles cngrnt 2- legs cngrnt 3- diagonals cngrnt |
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properties of a kite |
1- no // sides 2- 2 pairs cons sides cngrnt 3- 1 pairs opp angles cngrnt 4- diagonals perpendicular 5- 1 diagonal bisected |
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sum of ext angles in a polygon |
always 360 |
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sum of int angles in a polygon |
(n-2) x 180 |
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each ext angle in a polygon |
360/n |
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each int angle in a polygon |
(n-2) x 180 ---------------- n |
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find number of sides in a polygon when given int angle |
360/ lp of int. angle |
