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Q3-SA1-PROVING THEOREMS

Quiz by Michael Anjoe Taniegra

Grade 8
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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Measures 1 skill from
Grade 8
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

M8GE-IIi-j-1

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10 questions
Show answers
  • 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
    M8GE-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

    120s
    M8GE-IIi-j-1
  • Q3

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

    Given

    Postulate

    Theorem

    Definition

    120s
    M8GE-IIi-j-1
  • Q4

    Deductive reasoning is needed to prove ________________.

    Analogy

    Intuition

    Theorem

    Postulate

    120s
    M8GE-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.

    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 adjacent 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?

    Question Image

    ∠P + ∠Q + ∠R = 180º

    PR ⊥ RQ

    ∠P = 64º and ∠Q = 36º

    ∆ PQR is a right triangle

    120s
    M8GE-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?

    Question Image

    BC is shorter than AC

    BC = AC

    ∠A is greater than ∠ B.

    ∠A = ∠ B.

    120s
    M8GE-IIi-j-1

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