Inductive and Deductive Reasoning

All triangles have three interior angles that sum to 180° Right triangles have exactly one 90° angle and two angles that add to 90° Therefore, the two remaining angles of all right triangles must each be acute.

Deductive Reasoning

Cacti are plants, and all plants perform photosynthesis. Therefore, cacti perform photosynthesis.

Deductive Reasoning

given that a certain quadrilateral is a rectangle, and that all rectangles have equal diagonals. Therefore the diagnosis are equal

Deductive Reasoning

Acute angles are less than 90 degrees. This angle is 40 degrees, so it must be an acute angle.

Deductive Reasoning

All birds have feathers. All robins are birds. Therefore, robins have feathers.

Deductive Reasoning

All numbers ending in 0 or 5 are divisible by 5. The number 35 ends with a 5, so it must be divisible by 5.

Deductive Reasoning

All people are mortal. Harold is a person. Therefore, Harold is mortal.

Deductive Reasoning

a = b and b = c, then a = ?

C, Deductive Reasoning

Every cat that you've observed purrs. Therefore, all cats must purr.

Inductive Reasoning

Every year we get a thunderstorm in May. Since it is May, we will get a thunderstorm.

Inductive Reasoning

The left-handed people I know use left-handed scissors; therefore, all left-handed people use left-handed scissors.

Inductive Reasoning

What kind of reasoning is this and what is the pattern? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Inductive Reasoning, Fibonacci Sequence, add the previous number to current number.

What kind of reasoning? Pattern? -7, -21, -63, -189, ... And write the next three terms in the series.

Inductive Reasoning, Multiply by 3 each time, 567, 1701, and 5103

What kind of reasoning? Pattern? Finish Pattern. 1, 2, 4, 7, 11...

Inductive Reasoning, increasing increments of 1 between each number, 16, 22, 29

What is the one error in this inductive Reasoning pattern? What should it be? 1000, 500, 300, 125, 62.5, 31.25

The 300 is not 1/2 500, it should be 250.

inductive reasoning

moves from specific instances into a generalized conclusion

deductive reasoning

reasoning moves from generalized principles that are known to be true to a true and specific conclusion