Q3-SA1-PROVING THEOREMS

Quiz by Michael Anjoe Taniegra

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### Measures 1 skill fromGrade 8MathematicsPhilippines Curriculum: Grades K-10 (MELC)

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

Make a plan.

Carry out the plan

Understand the problem.

Looking Back

120sM8GE-IIi-j-1 - 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

120sM8GE-IIi-j-1 - Q3
Which of the following terms is accepted to be true without proof?

Given

Postulate

Theorem

Definition

120sM8GE-IIi-j-1 - Q4
Deductive reasoning is needed to prove ________________.

Analogy

Intuition

Theorem

Postulate

120sM8GE-IIi-j-1 - 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.

120sM8GE-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 adjacent angles.

Definition of complementary angles

120sM8GE-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

120sM8GE-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.

120sM8GE-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

120sM8GE-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 is shorter than AC

BC = AC

∠A is greater than ∠ B.

∠A = ∠ B.

120sM8GE-IIi-j-1