Deductive & Inductive Reasoning

Your little brother has chocolate sauce on his face. You conclude he must have eaten chocolate sauce.

• inductive

• deductive

You kick your cat, and every time you do, it scratches you. You conclude that if you kick your cat you will get scratched.

• inductive

• deductive

You add up the interior angles of 100 triangles and every time you get a sum of 180 degrees. After your hand uncramps you conclude that all triangles must have an interior angle sum of 180 degrees.

• inductive

• deductive

You take 3 things and add them to 5 more things and count that you have 8 things. You repeat this several times and conclude that 3 + 5 = 8.

• inductive

• deductive

You know that if lines are parallel then alternate interior angles are congruent. Your lines are parallel, so you conclude that your alternate interior angles are congruent.

• inductive

• deductive

The pen you had in your backpack is missing. You see your friend using a pen that looks like it. You conclude that your friend stole your pen, and you will be mad at him until lunch.

• inductive

• deductive

The area of a parallelogram is bh. The base is 12 and the area is 24. You conclude that the height is 2.

• inductive

• deductive

You go fishing, and every time you fish in a certain hole you never catch anything. You conclude that there are no fish in that hole.

• inductive

• deductive

Every time you eat fast food your stomach feels funny. You conclude that fast food makes your stomach feel funny.

• inductive

• deductive

You know that between two points there is exactly one line. You have two points, so you conclude you must have one line between them.

• inductive

• deductive