Geometry Test 2 Vocab

Question 1

Law of Detachment

Answer 1

If p->q is a true conditional and p is true, then q is also true

Question 2

Law of Syllogism

Answer 2

If p->q and q->r are true conditionals, then p->r is also true

Question 3

disjunction

Answer 3

a compound statement formed with the word or

Question 4

conjunction

Answer 4

a compound statement formed with the word and

Question 5

converse

Answer 5

Formed by exchanging the hypothesis and conclusion of the conditional

Question 6

inverse

Answer 6

Formed by negating both the hypothesis and conclusion of the conditional

Question 7

conjecture

Answer 7

a concluding statement reached using inductive reasoning

Question 8

deductive reasoning

Answer 8

using facts, rules, definitions, or properties to reach logical conclusions from given statements

Question 9

inductive reasoning

Answer 9

reasoning that uses a number of specific examples to arrive at a conclusion

Question 10

conclusion

Answer 10

phrase immediately following the word if in a conditional

Question 11

contrapositive

Answer 11

formed by negating both the hypothesis and the conclusion of the converse of the conditional

Question 12

counterexample

Answer 12

an example that proves a conjecture is false

Question 13

whats the protractor postulate

Answer 13

given any angle, the measure can be put into one-to-one correspondence with real numbers between 0 and 180.

Question 14

whats the angle addition postulate

Answer 14

R is in the interior of angle PQS if and only if the measure of angle PQR plus the measure of angle RQS equals the measure of angle PQS.

Question 15

whats the supplement theorm

Answer 15

if two angles form a linear pair then they are supplementary angles

Question 16

Complement theorm

Answer 16

is the noncommon sides of two adjacent angles form a right angle, then the angles are complementary angles

Question 17

Congruent supplements theorm

Answer 17

angles supplement to the same angle or congruent angles are congruent

Question 18

congruent complements theorem

Answer 18

angles compliment to the same angle or to congruent angles are congruent

Question 19

vertical angles theorem

Answer 19

if two angles are vertical angles, then they are congruent

Question 20

Theorm 2.9

Answer 20

perpendicular lines intersect to form four right angles

Question 21

Theorem 2.10

Answer 21

all right angles are congruent

Question 22

theorem 2.11

Answer 22

perpendicular lines form congruent adjacent angles

Question 23

Theorem 2.12

Answer 23

if two angles are congruent and supplementary, then each angle is a right angle

Question 24

Theorem 2.13

Answer 24

If two congruent angles form a linear pair, then they are right angles