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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

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

AX=12AC

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

For the following figure, if WR炉鈯�CE炉then name all segments congruent to WE炉.

Find something interesting to prove. Then prove it. Answers may vary.

Given: 鈻�EFIH;鈻�EGHJ;鈭�1鈮�鈭�2

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.
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