Question 1

In proving theorems using Indirect proofs, what is required to be proved true?

Accepted Answer

the negation of the statement is true.

Answer

conclusion contradicts the hypothesis

Answer

the conclusion to be proved is true.

Answer

the hypothesis of the theorem is true

Question 2

The following conditions are important to prove a statement using indirect proof

I. Show that there is a contradiction in the hypothesis

II. Assume that the negation of the conclusion.

Accepted Answer

I and II

Answer

II only

Answer

I only

Answer

Both are not important

Question 3

In the figure; B, C and D are collinear with C between B and D and point A is not on BD. Which of the following relationships between ∠ACB and ∠ACD is NOT true?

Accepted Answer

∠ACB = ∠ACD

Answer

∠ACB and ∠ACD are adjacent

Answer

∠ACB and ∠ACD formed a linear pair

Answer

∠ACB and ∠ACD are supplementary

Question 4

Using the same given and figure in #3. What would be the first statement to prove that ∠ACB ≠ 180o by using indirect proof?

Accepted Answer

Assume that ∠ACB = 180o

Answer

∠ACB and ∠ACD are supplementary.

Answer

∠ACB and ∠ACD are adjacent

Answer

∠ACB and ∠ACD formed a linear pair

Question 5

Using the same given and figure in #3. What would be the first statement to prove that ∠ACB + ∠ACB = 180 by using direct reasoning?

Accepted Answer

B, C and D are collinear with C between B and D B.

Answer

∠ACB and ∠ACD formed a linear pair

Answer

∠ACB ≠ ∠ACD

Answer

∠ACB and ∠ACD are supplementary

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