Geometry Proofs & Reasoning 2

Question 1

Which type of reasoning moves from specific observations to a general conclusion?

Accepted Answer

Inductive reasoning

Answer

Inductive reasoning forms a general conjecture based on specific observed patterns.

Question 2

A conditional statement has the form 'If p, then q.' What is p called?

Accepted Answer

Hypothesis

Answer

In 'if p, then q,' p is the hypothesis and q is the conclusion.

Question 3

What is the converse of 'If it is a square, then it is a rectangle'?

Accepted Answer

If it is a rectangle, then it is a square

Answer

The converse swaps the hypothesis and conclusion of a conditional statement.

Question 4

Which property justifies the statement 'If AB = CD and CD = EF, then AB = EF'?

Accepted Answer

Transitive property

Answer

The transitive property states that if a = b and b = c, then a = c.

Question 5

A statement that has been proven true and can be used to prove other statements is called a:

Accepted Answer

Theorem

Answer

A theorem is a statement that has been proven using logic and previous results.

Geometry Practice Test