AP1 - 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
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
30sM8GE-IIi-j-1EditDelete - Q2
Deductive reasoning is used in proving ________________.
definition
definition
theorem
postulate
30sM8GE-IIi-j-1EditDelete - 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
45sM8GE-IIi-j-1EditDelete - 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?
∠a and ∠c are equal angles.
∠a and ∠c are given angles.
∠a and ∠c are supplementary angles.
∠a and ∠c are vertical angles
60sM8GE-IIi-j-1EditDelete - 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,
30sM8GE-IIi-j-1EditDelete - Q6
Which of the following statements must be true if lines p and q are parallel?
i & ii only
i, ii and iii
ii and iii only
i and iii only
30sM8GE-IIi-j-1EditDelete - 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
30sM8GE-IIi-j-1EditDelete - Q8
The following conditions are important to prove a statement using indirect proof
Both are not important
I only
II only
I and II
120sM8GE-IIi-j-1EditDelete
