Question

These are valid conditional statements.

Statement 1: If a quadrilateral has four right angles, then it is a rectangle.
Statement 2: If a quadrilateral has three right angles, then it has four right angles.
Jaime says that Quadrilateral ABCD must be a rectangle because it has three right angles.
Jaime's reasoning is Select Choice by the Law of Select Choice
Select Choice
valid
not valid

Answer 1

Jaime's reasoning is not valid by the Law of Syllogism.

Statement 1: "If a quadrilateral has four right angles, then it is a rectangle."

Statement 2: "If a quadrilateral has three right angles, then it has four right angles."

Jaime's reasoning:

Jaime concludes that Quadrilateral ABCD must be a rectangle because it has three right angles.

Jaime's reasoning is not valid due to the Law of Syllogism. The Law of Syllogism states that if "If p then q" and "If q then r" are true statements, then "If p then r" is also true. However, Jaime's conclusion does not follow logically from the given statements.

In this case, having three right angles in a quadrilateral does not necessarily imply having four right angles, as indicated by Statement 2. Therefore, Jaime's reasoning is not valid.