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Chapter 5: Q1 (page 199)

Complete the following statement with the word always, sometimes, or never.

A square is ___ a rectangle.

Short Answer

Expert verified

A square is always a rectangle.

Step by step solution

01

Step 1. Apply the concept of square and rectangle.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles.

A rectangle is a quadrilateral with four right angles and opposite sides are congruent.

02

Step 2. Step description.

Since a square is a quadrilateral with all right angles and all sides congruent, whereas a rectangle is a quadrilateral with all right angles and opposite sides congruent.

Therefore, a square possesses all the properties of a rectangle.

03

Step 3. Step description.

Since a square possesses all the properties of a rectangle thus a square is always a rectangle.

Therefore, a square is always a rectangle.

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Most popular questions from this chapter

The quadrilaterals numbered 1, 2, 3, 4, and 5 are parallelograms. If you wanted to show that quadrilateral 6 is also a parallelogram, which of the five methods listed on page 172 would be easiest to use?

Parallel rulers, used to draw parallel lines, are constructed so that EF=HGand HE=GF. Since there are hinges at points E, F, G and H, you can vary the distance between role="math" localid="1637730770232" HG↔and role="math" localid="1637730792914" EF↔. Explain why HG↔and EF↔are always parallel.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

State the principal definition or theorem that enables you to deduce, from the information given, that quadrilateral SACK is a parallelogram.

SO=12SC;KO=12KA

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.
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