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Chapter 5: Q. 3 (page 199)

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

A rhombus is ___ a square.

Short Answer

Expert verified

A rhombus is sometimesa square.

Step by step solution

01

Step 1- Apply the concept of square and rhombus.

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

A rhombus is a quadrilateral with all sides equal and opposite angles are congruent.

02

Step 2- Step description.

Since a rhombus is a quadrilateral with all sides equal and opposite angles are congruent, also diagonals of rhombus perpendicularly bisect each other and a square is a quadrilateral with all right angles and all sides equal, also diagonals of a square also perpendicular bisect each other.

Therefore, a rhombus can be a square when its angles are right angle.

03

Step 3- Step description.

Since when the angles of rhombus are right angles thus the rhombus can be a square.

Therefore, a rhombus is sometimes a square.

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