Geometry Unit 2 Review

Question 1

Biconditional statement

Answer 1

A statement that contains the phrase if and only if

Question 2

Conditional statement

Answer 2

Hypothesis ‘p’ and a conclusion

Ex: if an animal is a bird, then it has feathers

Question 3

Negation

Answer 3

Opposite
you must use the word not

Question 4

Converse

Answer 4

Exchange the hypothesis and conclusion if q then p

Question 5

Contrapositive

Answer 5

If not q then not p

Question 6

Inverse

Answer 6

Negate both the hypothesis and conclusion
if not p then not q

Question 7

Conjecture

Answer 7

Unproven statement that is based on observations

Question 8

Inductive reasoning

Answer 8

When you find a pattern in specific and then write a conjecture for the general case
think of a pattern

Question 9

Counter example

Answer 9

A specific case for which the conjecture is false

Question 10

Deductive reasoning

Answer 10

Uses facts, definitions, accepted properties and the laws to form a logical argument

Question 11

Law of detachment

Answer 11

If the hypothesis is of a conditional statement is true then the conclusion is also true

Question 12

Algebraic properties of equality

Answer 12

If a=b then a+b = b+c

Question 13

Subtraction property of equality

Answer 13

If a=b then a-c=b-c

Question 14

Multiplication property of equality

Answer 14

If a=b then a x b= b x c

Question 15

Division property of equality

Answer 15

If a=b then a/c = b/c

Question 16

Substitution property of equality

Answer 16

If a=b then a can be substituted for b in any equation or expression

Question 17

Distributive property of equality

Answer 17

a(b+c)= ab+ac

Question 18

Reflexive property of equality

Answer 18

a=a

Question 19

Symmetric property of equality

Answer 19

If a=b then b= a

AB= CD, CD = AB

Question 20

Transitive property of equality

Answer 20

If a = b and b = c , then a = c

If AB = CD and CD = EF , then AB = EF