Q3-SA1-PROVING THEOREMS

Quiz by Michael Anjoe Taniegra

Mathematics

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M8GE-IIi-j-1

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10 questions
• Q1

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

Make a plan.

Carry out the plan

Understand the problem.

Looking Back

120s
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• Q2

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

Paragraph form

Two - Column form

Picture form

Flow – Chart form

120s
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• Q3

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

Given

Postulate

Theorem

Definition

120s
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• Q4

Deductive reasoning is needed to prove ________________.

Analogy

Intuition

Theorem

Postulate

120s
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• Q5

What statement can be drawn out from the given ∠A =30º and ∠B = 60º ?

∠A and ∠B are adjacent angles.

∠A and ∠B are supplementary angles.

∠A and ∠B are complementary angles.

∠A and ∠B are linear pair of angles.

120s
M8GE-IIi-j-1
• Q6

What would be the reason for the correct drawn out statement in ∠A =30º and ∠B = 60º?

Definition of linear pair of angles

Definition of supplementary angles

Definition of complementary angles

120s
M8GE-IIi-j-1
• Q7

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.

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

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

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

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

120s
M8GE-IIi-j-1
• Q8

Which part of the theorem in#7 needs to be proven? 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

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

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

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

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

120s
M8GE-IIi-j-1
• Q9

In ∆PQR if m ∠R = 90º, which of the following statements is false?

∠P + ∠Q + ∠R = 180º

PR ⊥ RQ

∠P = 64º and ∠Q = 36º

∆ PQR is a right triangle

120s
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• Q10

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?

BC is shorter than AC

BC = AC

∠A is greater than ∠ B.

∠A = ∠ B.

120s
M8GE-IIi-j-1

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