Quiz about Q2M7 INDUCTIVE AND DEDUCTIVE REASONING, AND WRITING PROOF

Question 1

What do you call the set of statements and reasons?

Accepted Answer

Proof

Answer

Facts

Answer

Rule

Answer

Reasoning

Question 2

What is a reasoning that take specific examples to make a general rule?

Accepted Answer

Inductive

Answer

Deductive

Answer

Direct

Answer

Indirect

Question 3

The following are examples of deductive reasoning through syllogisms. Which of the following possesses a valid and harmonious conclusion?

Accepted Answer

Rectangle is a parallelogram. Square is a parallelogram. Square is a rectangle.

Answer

Monkey eats banana. Ben eats banana. Ben is monkey.

Answer

Square is quadrilateral. Trapezoid is a quadrilateral. Trapezoid is a square.

Answer

John is hospitable. John is Filipino. Filipino is hospitable.

Question 4

Which of the following statements is TRUE?

Accepted Answer

If tomorrow is Friday, then today is Thursday.

Answer

If an animal is a panther, then it lives in the forest.

Answer

If an animal is spotted then it is a Dalmatian.

Answer

If you are in Tagaytay, then you live in Luzon.

Question 5

1, 2, 4, 7, 11, ___. What is the next sequence?

Accepted Answer

16

Answer

12

Answer

14

Answer

17

Question 6

Which of the following statements is TRUE?

Accepted Answer

If $$\angle YES$$ has a measure of 60 $$\degree$$ , then $$\angle YES$$ is acute angle.

Answer

b. If $$\angle YES$$ has a measure of 180 $$\degree$$ , then $$\angle YES$$ is right angle.

Answer

c. If $$\angle YES$$ has a measure of 90 $$\degree$$ , then $$\angle YES$$ is obtuse angle.

Answer

d. If $$\angle YES$$ has a measure of 60 $$\degree$$ , then $$\angle YES$$ is obtuse angle.

Question 7

What method of proof is done by contradiction?

Accepted Answer

indirect proof

Answer

direct proof

Answer

formal proof

Answer

two column proof

Question 8

If $$m\angle A+m\angle B=180$$ , then

Accepted Answer

$$\angle A\ and\ \angle B$$ are supplementary angles.

Answer

$$\angle A\cong\angle B$$

Answer

$$\angle A\ and\ \angle B$$ are acute angles.

Answer

$$\angle A\ and\ \angle B$$ are complementary angles.

Question 9

Which could be a valid conclusion if ray $$\overrightarrow{ON}$$ bisects $$\angle TOY$$ ?

Accepted Answer

$$\angle TON\cong\angle YON$$

Answer

$$\angle NOY\cong\angle YOT$$

Answer

$$\angle TON\cong\angle TOY$$

Answer

no valid conclusion

Question 10

Which could be the best valid conclusion about the measures of $$\angle1\ and\ \angle2$$ if they are vertical angles?

Accepted Answer

$$\angle1\ and\ \angle2$$ are congruent angles

Answer

$$\angle1\ and\ \angle2$$ are acute angles

Answer

$$\angle1\ and\ \angle2$$ are supplementary angles

Answer

$$\angle1\ and\ \angle2$$ are complementary angles

Question 11

If $$\angle S\ and\ \angle T$$ are vertical angles, $$\angle S\ and\ \angle V$$ are supplementary angles, and $$m\angle V\ is\ 65\degree,\ what\ is\ the\ m\angle T$$ ?

Accepted Answer

$$115\degree$$

Answer

$$25\degree$$

Answer

$$65\degree$$

Answer

Cannot be determined.

Question 12

Study the figures carefully. What is next?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 13

IF All even numbers are divisible by 2
AND 28 is even
THEN 28 is divisible by 2

Accepted Answer

Deductive

Answer

Inductive

Question 14

All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart.

Accepted Answer

Inductive

Answer

Deductive

Q2M7 INDUCTIVE AND DEDUCTIVE REASONING, AND WRITING PROOF

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