Geometry: Chapter 2

Question 0

Hypothesis

Answer 0

The part of a conditional following “if”

Question 1

Conditional

Answer 1

An if-then statement

Question 2

Conclusion

Answer 2

The part of a conditional following “then”

Question 3

Truth value

Answer 3

A conditional can be true or false

Question 4

Converse

Answer 4

Switches the hypothesis and conclusion of a conditional

Question 5

Biconditional

Answer 5

The combination of a conditional statement and its converse. Contains the words “if and only if”

Question 6

Deductive reasoning

Answer 6

The process of reasoning logically from given statements to a conclusion.

Question 7

Law do Detachment

Answer 7

If a conditional is true and its hypothesis is true, then it’s conclusion is true.

Question 8

Vertical angles

Answer 8

Two angles whose sides form two pairs of opposite rays.

Question 9

Adjacent angles

Answer 9

To coplanar angles with a common side, a common vertex, and no common interior points.

Question 10

Complementary angles

Answer 10

Two angles whose measures have the sum of 90

Question 11

Supplementary angles

Answer 11

Two angles whose measures have the sum of 180

Question 12

Theorem

Answer 12

The statement you prove true using deductive reasoning.

Question 13

Paragraph proof

Answer 13

A proof written as sentences in a paragraph

Question 14

Law of Syllogism

Answer 14

If p –> q and q –> r are true statements, then p –> r is a true statement

Question 15

Addition Property of Equality

Answer 15

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

Question 16

Subtraction Property of Equality

Answer 16

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

Question 17

Multiplication Property of Equality

Answer 17

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

Question 18

Division Property of Equality

Answer 18

If a = b and c does not = 0, then a/c = b/c

Question 19

Reflexive Property of Equality

Answer 19

a = a

Question 20

Symmetric Property of Equality

Answer 20

If a = b, then b = a

Question 21

Transitive Property of Equality

Answer 21

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

Question 22

Substitution Property of Equality

Answer 22

If a = b! then b can replace a in any expression.

Question 23

The Distributive Property

Answer 23

a(b + c) = ab + ac

Question 24

Vertical Angles Theorem

Answer 24

Vertical angles are congruent.

Question 25

Congruent Supplements Theorem

Answer 25

If two angles are supplements of the same angle, then the two angles are congruent.

Question 26

Congruent Complements Theorem

Answer 26

A. If two angles are complements of the same angle, then the two angles are congruent. B. All right angles are congruent. C. If two angles are congruent and supplementary, then each is a right angle.