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Hint

1

inductive reasoning

reasoning based on specific examples or past events

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2

conjecture

unproven statement or rule based on inductive reasoning

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3

counterex

an example that proves the conjecture false

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4

conditional statement

an “if, then” statement that relates a hypothesis to a conclusion; p→q

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5

biconditional statement

an “if and only if” statement where the rules work both ways

p<->q

p<->q

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6

converse

order switch; q→p

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7

negation

making one negative “not” ~p

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8

inverse

same order, both negative ~p→ ~q

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9

contrapositive

switch and negative ~q →~p

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10

deductive reasoning

reason using given and previously known facts

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11

rhombus

4 equal sides, diagonals are perpendicular

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12

rectangle

diagonals are congruent

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13

square

4 equal sides, perpendicular and conguent diagonals

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14

square root (x2 -x1)^2+(y2-y1)^2

distance formula

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15

180 (n-2)

interior angle measure formula

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16

x, x, root 2x

side values of a 45 45 right triangle

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17

x, root 3x, 2x

side values of a 30 60 right triangle

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18

n/360 x 2 PI r

arc length formula

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19

n/360 x Pi r ^2

area sector formula

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20

rhombus

diagonals are perpendicular and/or a diagonal bisects 2 angles

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21

rectangle

diagonals are congruent

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22

square

if the diagonals are perpendicular and congruent, and/or a diagonal bisects angles and the diagonals are congruent

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