# AP1 - Proving Theorems

## Quiz by Michael Anjoe Taniegra

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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-1 - Q2
Deductive reasoning is used in proving ________________.

definition

definition

theorem

postulate

30sM8GE-IIi-j-1 - 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-1 - 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-1 - 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-1 - 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-1 - 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-1 - 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-1