Question 1

1. Which step of proving theorem suggest to use working backward strategy?

Accepted Answer

B. Make a plan.

Answer

C. Carry out the plan

Answer

A. Understand the problem.

Answer

D. Looking Back

Question 2

2. What is the commonly used form of writing proofs when proving using indirect proof ?

Accepted Answer

B. Paragraph

Answer

D. Picture form

Answer

C. Two- Column form

Answer

A. Flow – Chart form

Question 3

3. Which of the following terms is accepted to be true without proof?

Accepted Answer

C. Postulate

Answer

A. Definition

Answer

D. Theorem

Answer

B. Given

Question 4

4. Deductive reasoning is needed to prove ________________.

Accepted Answer

C. Theorem

Answer

D. Intuition

Answer

A. Analogy

Answer

B. Postulate

Question 5

5. What statement can be drawn out from the given ∠A= $30\degree$ and

∠B = $60\degree$ ?

Accepted Answer

A. ∠A and ∠B are complementary angles.

Answer

B. ∠A and ∠B are supplementary angles.

Answer

C. ∠A and ∠B are linear pair of angles.

Answer

D. ∠A and ∠B are adjacent angles.

Question 6

6. What would be the reason for the correct drawn out statement in #5?

Accepted Answer

B. Definition of complementary angles

Answer

D. Definition of linear pair of angles

Answer

A. Definition of adjacent angles.

Answer

C. Definition of supplementary angles

Question 7

7. Which part of this theorem is the hypothesis? In a triangle if one side is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.

Accepted Answer

C. In a triangle, one side is longer than the other side.

Answer

D. In a triangle, the angle opposite the longer side is larger than the angle opposite the shorter side.

Answer

B. In a triangle, the shorter side is opposite the smaller angle

Answer

A. In a triangle, the longer side is opposite the larger angle.

Question 8

8. Which part of the theorem in #7 needs to be proved?

Accepted Answer

D. In a triangle, the angle opposite the longer side is larger than the angle opposite the shorter side.

Answer

A. In a triangle, the longer side is opposite the larger angle.

Answer

B. In a triangle, the shorter side is opposite the smaller angle

Answer

C. In a triangle, one side is longer than the other side.

Question 9

9.In ∆PQR if m ∠R= $30\degree$ , which of the following statements is false?

Accepted Answer

D. ∠P = $30\degree$ and ∠Q = $36\degree$

Answer

A. ∆ PQR is a right triangle

Answer

C. ∠P + ∠Q + ∠R = $30\degree$

Answer

B. PR ⊥ RQ

Question 10

10. In triangle ABC, ∠A is greater than ∠B. To prove that BC is longer than AC by using indirect proof, which of the following must be the first statement?

Accepted Answer

D. BC = AC

Answer

B. ∠A = ∠ B.

Answer

A. ∠A is greater than ∠ B.

Answer

C. BC is longer than AC

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