Can a rectangle also be a rhombus? Explain
http://www.answers.com/rhombus
http://www.answers.com/rectangle
Read the definition of the two and let us know what you think.
no a rhombus has 4 sides
Kathleen's answer "no" is correct, but not her reason.
Dk, what do you think the reason is?
Thank you very much
Yes, a rectangle can also be a rhombus. To understand why, let's first define both shapes:
1. Rectangle: A rectangle is a four-sided polygon with opposite sides that are equal in length and all angles are right angles (90 degrees).
2. Rhombus: A rhombus is a four-sided polygon with all sides of equal length.
Now, let's look at the properties of a rectangle:
- A rectangle has opposite sides that are equal in length. This means that if we consider the two pairs of opposite sides of a rectangle, each pair will have equal lengths.
- A rectangle also has four right angles. Each angle in a rectangle measures exactly 90 degrees.
Now, let's consider the properties of a rhombus:
- A rhombus has all sides of equal length. This means that all four sides of a rhombus will have the same length.
- A rhombus does not have any right angles. The angles in a rhombus are larger or smaller than 90 degrees.
Based on these definitions and properties, we can conclude that a rectangle can also be a rhombus if and only if all four sides of the rectangle have equal length. In other words, if the opposite sides of a rectangle are equal (as required for a rectangle) and all four sides are also equal in length (as required for a rhombus), then the rectangle can be considered as a rhombus as well.
To determine if a given rectangle is also a rhombus, you need to measure its sides. If all four sides are equal in length, then it is a rhombus. If the opposite sides are equal but the lengths of the other two sides differ, then it is just a rectangle.