MATH 8 ONLINE EXAM

1. Which of the following does not belong to undefined terms?

• Triangle
• Square
• Circle
• Angle

2. What property is illustrated in: If ∠A ≅∠B, then ∠B ≅ ∠A.

• Reflexive Property of Congruence
• Addition Property of Equality
• Symmetric Property of Congruence
• Transitive Property of Congruence

Which are part of a mathematical system?

• undefined terms, defined terms, Axioms and Postulates, Theorems
• Functions
• Variables
• Equations

4. If m∠R + m∠M = 90° then

• m∠R and m∠M are complementary angles.
• m∠R and m∠M are supplementary angles.
• m∠R and m∠M are equal angles.
• m∠R and m∠M are obtuse angles.

5. It is a statement that is accepted without proof.

• b. Postulate
• a. Hypothesis
• c. Conjecture
• d. Proposition

6. It is a statement that is accepted after it is proved deductively.

• Hypothesis
• Corollary
• d. Theorem
• Conjecture

7. Which of the following best describes deductive reasoning?

• c. using logic to draw conclusions based on accepted statements
• d. making assumptions without evidence
• b. relying solely on personal experience
• a. using intuition to solve problems

8. Theorem: A triangle has at most one obtuse angle. Francisco is proving the theorem above by contradiction. He began by assuming that in ∆ABC, ∠A and ∠B are both obtuse. Which theorem will Francisco use to reach a contradiction?

• e. The sum of the measures of the angles of a triangle is 360°.
• d. The sum of the measures of the angles of a triangle is 180°.
• f. The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
• g. The angles of a triangle can be greater than 180° when combined.

9. Which of the following statements is true? a. If ∠1 has a measure of 900, then ∠1 is obtuse. b. If ∠1 has a measure of 140°, then ∠1 is acute. d. If ∠1 has a measure of 180°, then ∠1 is right.

• If ∠1 has a measure of 35°, then ∠1 is acute.

• If ∠1 has a measure of 90°, then ∠1 is acute.
• If ∠1 has a measure of 140°, then ∠1 is obtuse.
• If ∠1 has a measure of 180°, then ∠1 is obtuse.

10. Supply a valid conclusion for the given hypothesis: If OM bisects ∠LON then

• ∠MON ≅ ∠NOL
• m∠LON = m∠LOM - m∠MON
• ∠LOM ≅ ∠MON
• d. m∠LON = m∠LOM + m∠MON