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Chapter 5: Q2 (page 199)

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

A rectangle is ___ a rhombus.

Short Answer

Expert verified

A rectangle is never a rhombus.

Step by step solution

01

Step 1. Apply the concept of rhombus and rectangle.

A rhombus is a quadrilateral whose four sides all have the same length.

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

02

Step 2. Step description.

A rectangle is a quadrilateral with all right angles and opposite sides congruent, also diagonals of a rectangle are congruent whereas a rhombus is a quadrilateral with all sides congruent and opposite angles congruent, also diagonals of a rhombus are not congruent.

Therefore, a rectangle does not possess the properties of a rhombus.

03

Step 3. Step description.

Since a rectangle does not possess the properties of a rhombus thus a rectangle is never a rhombus.

Therefore, a square is always a rectangle.

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Most popular questions from this chapter

What values must x and y have to make the quadrilateral a parallelogram?

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

If TN=7, thenXY=?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.

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

If XY=k, thenTN=?炉

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

If ZN=8, then TM=?炉
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