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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

Prove Theorem 5-1.

The legs of this ironing board are built so that BO=AO=RO=DO.

What theorem guarantees that the board is parallel to the floor AR炉鈭�BD炉?

Draw and label a diagram. List what is given and what is to be proved. Then write a two-column proof of the theorem.

Theorem 5-5.

Quadrilateral is a parallelogram.

  1. Why is supplementary to ?
  2. Why is supplementary to ?
  3. Complete: consecutive angles of a parallelogram are ?, while opposite angles are?.

M, N and T are the midpoints of the sides of 螖XYZ.

If ZN=8, then TM=?炉
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