Chapter 2

Question 1

Converse

Answer 1

The converse of a conditional statement is found by interchanges its hypothesis and conclusion.
a–>b is b–>a

Question 2

Syllogism

Answer 2

An argument is the form:
a–>b
b–>c,
therefore, a–>c

Question 3

Theorem

Answer 3

A theorem is a statement that is proved by reasoning deductively from already accepted statements.

Question 4

Premise

Answer 4

The different parts that make up the direct proofs.

Ex. a–>b, b–>c, etc.

Question 5

Indirect Proof

Answer 5

An assumption is made at the beginning that leads to a contradiction. The contradiction indicates that the assumption is false and the desired conclusion is true.

Question 6

Postulate

Answer 6

Statements that are assumed true without proof.

Question 7

Postulate #1

Answer 7

Two points determine a line.

Question 8

Postulate #2

Answer 8

Three noncollinear points determine a plane.

Question 9

The Pythagorean Theorem

Answer 9

The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Question 10

The Triangle Angle Sum Theorem

Answer 10

The sum of the angles of a triangle is 180*.

Question 11

Two Circle Theorem

Answer 11

If the diameter of a circle is d, it’s circumference is pi x d.
If the radius of a circle is r, it’s area is pi r squared.

Question 12

Conditional Statement

Answer 12

A conditional statement consists of two clauses, on of which begins with the word “if” or “when.”
“If…then”, “when…then”