Question

Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

A rectangle with sides of equal length is a square.

Short answer

"A rectangle with sides of equal length" is a hypothesis and "is a square" is a conclusion.

"If the sides of a rectangle are equal, then it is a square"

Step-by-step solution

Step 1. Given Statement.

A rectangle with sides of equal length is a square.

Step 2. Definition of the square.

A square is a rectangle whose all sides are equal.

Step 3. Description of step.

To identify the hypothesis and conclusion in the given statement, note that every square is a rectangle but every rectangle is not a square.

Now from the definition if all the sides of a rectangle are equal, then it becomes a square.

Hence the statement that " a rectangle with sides of equal length is a square" is true and contains a hypothesis and conclusion.

Thus, "a rectangle with sides of equal length" is a hypothesis, and " is a square" is a conclusion.

And it is written in an if-then form as:

"If the sides of a rectangle are equal, then it is a square".