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AP1 - 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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8 questions
Show answers
  • Q1

    What is the form of writing proofs where a series of statements are organized in logical order using boxes and arrows?

    Flow – Chart form

    Two - Column form

    Picture form

    Paragraph form

    30s
    M8GE-IIi-j-1
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  • Q2

    Deductive reasoning is used in proving ________________.

    definition

    definition

    theorem

    postulate

    30s
    M8GE-IIi-j-1
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  • Q3

    In the theorem, Vertical angles are congruent, what would be the hypothesis or the correct “if clause” if the theorem is written in if- then form?

    If the angles are congruent

    If the vertical angles

    If 2 angles are vertical

    If 2 angles are congruent

    45s
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  • Q4

    As shown in the figure, ∠a and ∠c are vertical angles formed by intersecting lines p and q. To prove: ∠a = ∠c, what would be the second statement in the proof?

    Question Image

    ∠a and ∠c are equal angles.

    ∠a and ∠c are given angles.

    ∠a and ∠c are supplementary angles.

    ∠a and ∠c are vertical angles

    60s
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  • Q5

    Which part of this theorem needs to be proven? In any triangle, the sum of the interior angles is 180º.

    In any triangle, there is 180º angle

    The sum of the interior angles is 180º

    The interior angle is 180º

    In any triangle,

    30s
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  • Q6

    Which of the following statements must be true if lines p and q are parallel?

    Question Image

    i & ii only

    i, ii and iii

    ii and iii only

    i and iii only

    30s
    M8GE-IIi-j-1
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  • Q7

    In proving theorems using Indirect proofs, what is required to be proven true?

    the hypothesis of the theorem is true

    the negation of the statement is true.

    the conclusion to be proved is true.

    conclusion contradicts the hypothesis

    30s
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  • Q8

    The following conditions are important to prove a statement using indirect proof

    Question Image

    Both are not important

    I only

    II only

    I and II

    120s
    M8GE-IIi-j-1
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