
How many right angles does a rhombus have?
Answer
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Hint:
As a parallelogram, the rhombus has a sum of two interior angles that share a side equal to .
Therefore, only if all angles are equal, they all are equal to .
That equality of all angles makes a square out of a rhombus.
Complete step by step answer:
It can be either or but never , or .
A rhombus is a Parallelogram with equal sides. Because it is a parallelogram, opposite angles are congruent. And because it is a quadrilateral the sum of all angles must . So if one angle is right then the opposite angle is . Then the pair has a sum of degrees, then
So the other pair of angles sum to degrees. But the other pair of angles are also opposite of each other so must be congruent, so each of the other two angles is also degrees. So if one angle is right all angles are right angles. These kinds of rhombi, or rhombuses, are called squares. Squares are a subset of rhombi or the rhombus could have no right angles, it would just be a rhombus.
Note:
If a rhombus is a square, all four of its angles are right. Otherwise, all angles are either acute or obtuse, but not right. Also, all sides of rhombus are equal. Typically we say, it's a subpart of a square because all the properties are the same except angle.
As a parallelogram, the rhombus has a sum of two interior angles that share a side equal to
Therefore, only if all angles are equal, they all are equal to
That equality of all angles makes a square out of a rhombus.
Complete step by step answer:
It can be either
A rhombus is a Parallelogram with
So the other pair of angles sum to
Note:
If a rhombus is a square, all four of its angles are right. Otherwise, all angles are either acute or obtuse, but not right. Also, all sides of rhombus are equal. Typically we say, it's a subpart of a square because all the properties are the same except angle.
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