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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

Given: parallelogram ABCD; DE¯⊥AC¯; BF¯⊥AC¯.

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