EMATH REVIEWER

Question 1

MEANS TO DEMONSTRATE THE TRUTH OR EXISTENCE OF
(SOMETHING) BY EVIDENCE OR ARGUMENT.

Answer 1

PROVING

Question 2

IS A DEVICE USED TO ESTABLISH THE ABSOLUTE AND IRREVOCABLE
TRUTH OF STATEMENTS IN MATHEMATICS

Answer 2

PROOF

Question 3

The science of correct reasoning.

Answer 3

Logic

Question 4

The drawing of inferences or conclusions
from known or assumed facts.

Answer 4

Reasoning

Question 5

a combination of two statements p (hypothesis) and q (conclusion) and by the words “if” and “then”. It comes in the form “if p, then q.”

Answer 5

Conditional statement

Question 6

A conditional statement is also called an?

Answer 6

Implication

Question 7

How to write an if-then statement?

Answer 7

• find the subject and predicate
• then place the subject in the if part of the sentence
• then put a comma
• then put the predicate in the then part of the sentence then period.

Question 8

a figure , an explanation or a situation used to justify that a given conditional is false.

Answer 8

COUNTEREXAMPLE

Question 9

IS THE TRANSFORMATION OF A STATEMENT SUCH THAT IT WILL BE THE OPPOSITE OF ITS TRUTH VALUE.

Answer 9

NEGATION

Question 10

a statement refers to whether it is theoretically true or theoretically false

Answer 10

Truth value

Question 11

type of statement that just reverses the order of a conditional statement. The conclusion q becomes the hypothesis and the hypothesis p becomes the conclusion. It is the if q , then p statement.

Answer 11

CONVERSE

Question 12

type of statement that negates both the hypothesis and conclusion.

Answer 12

Inverse

Question 13

type of statement that just reverse the order of an INVERSE statement.

Answer 13

Contrapositive

Question 14

give the SYMBOLISM of the 5 types of statements

Answer 14

Conditional:
- p -> q
Converse:
- q -> p
Inverse:
- ~p -> ~q
Contrapositive:
- ~q -> p
Biconditional:
- p <–> q

Question 15

“If an animal barks, then it is a dog.” turn this statement into converse.

Answer 15

If it is a dog, then it barks.

Question 16

“If it is a kite, then it flies.” turn this statement into converse.

Answer 16

If it flies, then it is a kite.

Question 17

“If two lines are parallel, then their slopes are equal.” turn this statement into inverse.

Answer 17

If two lines are NOT parallel, then their slopes are NOT equal.

Question 18

“If two lines are parallel, then their slopes are equal.” turn this statement into contrapositive.

Answer 18

If two slopes are NOT equal, then the lines are not parallel.

Question 19

“If I will do regular exercise, then I will be physically fit.” turn this statement into a biconditional.

Answer 19

I do regular exercise if and only I am physically fit (can be interchanged)

Question 20

There will be a test in Mathematics tomorrow. Give the negation of the given statement.

Answer 20

There will be no test in Mathematics tomorrow.

Question 21

There is PE subject in the Senior High School. Give the negation of the given statement.

Answer 21

There is no PE subject in the Senior High School.

Question 22

A right angle measures exactly 90 degrees. Give the subject and predicate.

Answer 22

Subject: A right angle
Predicate: measures exactly 90 degrees

Question 23

Parallel lines do not intersect no matter how far they are extended. Give the subject and predicate.

Answer 23

Subject: Parallel lines
Predicate: do not intersect no matter how far they are extended