Question

Which example illustrates an improper use of deductive reasoning? . A.All girls in Mrs. Lopez’s class have brown hair. Cassandra is in Mrs. Lopez’s class. Therefore, Cassandra has brown hair.. B.All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides.. C.All residents of Townsburg have a pet. Josiah lives on the north side of Townsburg. Therefore, Josiah has a pet.. D.All rhombi have diagonals that intersect at right angles. A square is a type of rhombus. Therefore, a square’s diagonals intersect at right angles.. .

Answer 1

B. All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides.

Explanation:

Deductive reasoning is a logical reasoning where the conclusion is based on the harmony of multiple premises and these premises are generally assumed to be true.

So, here the improper use of deductive reasoning is in - All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides.

ABC can be any triangle. It cannot be concluded that triangle abc has two congruent sides.

Rest all options are based on deductive reasoning.

Answer 2

"All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides" is the statement that is an example that illustrates an improper use of deductive reasoning. The correct option among all the options that are given in the question is the second option or option "B". I hope it helps you.