Geometry Proofs & Reasoning 5

Question 1

Which reasoning uses accepted facts and logic to reach a guaranteed conclusion?

Accepted Answer

Deductive reasoning

Answer

Deductive reasoning applies general rules to reach a certain, logically valid conclusion.

Question 2

The inverse of 'If p, then q' is written as:

Accepted Answer

If not p, then not q

Answer

The inverse negates both the hypothesis and conclusion without swapping them.

Question 3

Which property of equality is used to justify 'If x = 5, then x + 3 = 8'?

Accepted Answer

Addition property of equality

Answer

Adding the same number to both sides is the addition property of equality.

Question 4

Two lines that intersect to form right angles are said to be:

Accepted Answer

Perpendicular

Answer

Perpendicular lines meet at 90-degree angles.

Question 5

A biconditional statement is true only when:

Accepted Answer

Both the conditional and its converse are true

Answer

A biconditional ('if and only if') holds when both directions of the statement are true.

Geometry Practice Test