Answer
(a) The sun will rise tomorrow - This statement is not supported by either deductive or inductive reasoning
(b) The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides - This statement is supported by deductive reasoning
(c) Only male deer have antlers - This statement is supported by inductive reasoning
(d) If A = B and B = C, then A = C - This statement is supported by deductive reasoning
(e) The net force acting on a body equals its mass times its acceleration - This statement is supported by deductive reasoning
Work Step by Step
(a) The sun will rise tomorrow - This statement is not supported by either deductive or inductive reasoning. It is a prediction based on past observations and assumptions about the regularity of the natural world.
(b) The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides - This statement is supported by deductive reasoning because it is a theorem that can be logically derived from the definitions of right triangles and the Pythagorean theorem.
(c) Only male deer have antlers - This statement is supported by inductive reasoning because it is based on observations of many deer and the generalization that has been made from those observations. While there may be exceptions, the statement is generally true based on the available evidence.
(d) If A = B and B = C, then A = C - This statement is supported by deductive reasoning because it is a logical consequence of the transitive property of equality. If two things are equal to a third thing, then they are equal to each other.
(e) The net force acting on a body equals its mass times its acceleration - This statement is supported by deductive reasoning because it is a fundamental law of physics that can be logically derived from the definitions of force, mass, and acceleration, as well as Newton's second law of motion.
