# Q2 M10 Proving Theorems

## Quiz by Rose Ann Salayon

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- Q1
Which step of proving theorem suggest to use working backward strategy?

Carry out the plan

Looking Back

Make a plan.

Understand the problem.

30sM8GE-IIi-j-1 - Q2
What is the commonly used form of writing proofs when proving using indirect proof ?

Flow-Chart form

Two - Column form

Paragraph Form

Picture Form

60s - Q3
Which of the following terms is accepted to be true without proof?

Definition

Given

Theorem

Postulate

60s - Q4
Deductive reasoning is needed to prove ________________.

Theorem

Postulate

Analogy

Intuition

60s - Q5
What statement can be drawn out from the given ∠A =30º and ∠B = 60º ?

∠A and ∠B are complementary angles.

∠A and ∠B are supplementary angles

∠A and ∠B are linear pair of angles.

∠A and ∠B are adjacent angles.

60s - Q6
What would be the reason for the correct drawn out statement in # 5?

Definition of linear pair of angles

Definition of adjacent angles.

Definition of complementary angles

Definition of supplementary angles

60s - 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 shorter side is opposite the smaller 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.

60s - Q8
Which part of the theorem "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, one side is longer than the other side.

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

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

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

60sM8GE-IIi-j-1 - Q9
In ∆PQR if m ∠R = 90º, which of the following statements is false?

PR ⊥ RQ

∠P = 64º and ∠Q = 36º

∠P + ∠Q + ∠R = 180º

∆ PQR is a right triangle

60sM8GE-IIi-j-1 - 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 = AC

∠A = ∠ B

∠A is greater than ∠ B

BC is longer than AC

60sM8GE-IIi-j-1