Math Problem Statement
A rhombus with right angles
Solution
A rhombus with right angles is a square. Here's why:
- A rhombus is a quadrilateral with all sides equal in length.
- A right angle means the angle measures .
For a rhombus to have right angles, all four angles must be . This means the rhombus also satisfies the definition of a square, which is a quadrilateral with all sides equal and all angles . Hence, a rhombus with right angles is essentially a square.
Would you like further details or have any questions?
Here are five related questions that expand on this topic:
- How can you find the area of a square given its side length?
- What are the properties of a square in terms of symmetry?
- How does the diagonal of a square relate to its side length?
- What is the perimeter of a square if one side is given?
- How does a square differ from a generic rhombus?
Tip: The diagonals of a square bisect each other at right angles and are equal in length.
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Math Problem Analysis
Mathematical Concepts
Geometry
Quadrilaterals
Properties of a Rhombus
Properties of a Square
Formulas
Area of a square: A = side^2
Perimeter of a square: P = 4 × side
Theorems
Definition of a rhombus
Definition of a square
Properties of right angles
Suitable Grade Level
Grades 6-8
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