Deductive and Inductive Reasoning

1. 5, 10, 15, 20. The next number is 25.

• Deductive

• Inductive

Collinear points are on the same line. X, Y, Z are collinear therefore they are on the same line.

• Inductive

• Deductive

A regular polygon is equilateral. BELEN is a regular pentagon. Therefore BELEN is equilateral.

• Deductive

• Inductive

A child's teacher in pre-school was a female. In his grades 1 and 2, his teachers were both female. The child may say that all his previous teachers were female.

• Inductive

• Deductive

My math teacher is smart. My friends' math teacher is smart. My cousin's math teacher is smart. All math teachers are smart.

• Deductive

• Inductive

Filipinos are hospitable.

Bonifacio is a Filipino

Therefore Bonifacio is hospitable.

• Law of Detachment

• Law of Syllogism

Vertical angles are congruent.

Angle 1 and angle 2 are vertical angles.

Angle 1 and angle 2 are congruent.

• Law of Detachment

• Law of Syllogism

If you go to school, then you will learn.

If you learn your lessons, then you will pass.

If you go to school, then you will pass.

• Law of Detachment

• Law of Syllogism

If a park is a national park, then it is interesting.

Luneta is a national park, therefore Luneta is interesting.

• Law of Detachment

• Law of Syllogism

If you attend a party, then you will sleep late.

If you sleep late, then you will be restless the following day.

If you attend party, then you will be restless the following day.

• Law of Syllogism

• Law of Detachment