Chapter 1: Q24. (page 57)

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

Expert verified

"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".

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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

Step by step solution

Step 1. Given Statement.

Step 2. Definition of the square.

Step 3. Description of step.

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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

Step by step solution

Step 1. Given Statement.

Step 2. Definition of the square.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Probability and Statistics

Logic and Functions

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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.