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- Q1
In proving theorems using Indirect proofs, what is required to be proved true?
conclusion contradicts the hypothesis
the negation of the statement is true.
the conclusion to be proved is true.
the hypothesis of the theorem is true
30sM8GE-IIi-j-1 - Q2
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.
II only
I and II
I only
Both are not important
30sM8GE-IIi-j-1 - Q3
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?
∠ACB = ∠ACD
∠ACB and ∠ACD are adjacent
∠ACB and ∠ACD formed a linear pair
∠ACB and ∠ACD are supplementary
30sM8GE-IIi-j-1 - Q4
Using the same given and figure in #3. What would be the first statement to prove that ∠ACB ≠ 180o by using indirect proof?
Assume that ∠ACB = 180o
∠ACB and ∠ACD are supplementary.
∠ACB and ∠ACD are adjacent
∠ACB and ∠ACD formed a linear pair
30sM8GE-IIi-j-1 - Q5
Using the same given and figure in #3. What would be the first statement to prove that ∠ACB + ∠ACB = 180 by using direct reasoning?
∠ACB and ∠ACD formed a linear pair
∠ACB ≠ ∠ACD
B, C and D are collinear with C between B and D B.
∠ACB and ∠ACD are supplementary
30sM8GE-IIi-j-1
