Deductive and Inductive Reasoning

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

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

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

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.

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

Filipinos are hospitable.

Bonifacio is a Filipino

Therefore Bonifacio is hospitable.

Vertical angles are congruent.

Angle 1 and angle 2 are vertical angles.

Angle 1 and angle 2 are congruent.

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.

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

Luneta is a national park, therefore Luneta is interesting.

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.