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What statement is true about a rhombus?
A rhombus is a 4 sided shape, all sides of equal length, opposite sides parallel and opposite angles are equal, also the diagonals bisect each other at right angles.
How could you contrust a rhombus circumscribed in a circle?
You cannot circumscribe a "true rhombus". The opposite angles of a circumscribed quadrilateral must be supplementary whereas the opposite angles of a rhombus must be equal. That means a circumscribed rhombus is really a square.
The opposite angles of a rhombus are congruent true or false?
True
What is always true about a rhombus?
1.) side lengths are equal 2.) two sets of parallel sides 3.) two sets of equal angles (opposite angles are equal)
What is true about both a rhombus and a square?
-- Opposite sides are parallel. -- Opposite sides are equal. -- All four sides are equal. -- Adjacent sides are equal. -- Adjacent angles are supplementary. -- Opposite angles are equal. -- Diagonals are perpendicular. -- Interior angles sum to two straight angles. -- Exterior angles sum to two straight angles.
What statements are true about a rhombus?
It is a 4 equal sided quadrilateral It has two diagonals that intersect each other at right angles It has 2 equal opposite acute angles and 2 equal opposite obtuse angles Its 4 interior angles add up to 360 degrees It will tessellate
If a polygon has equal sides does it have equal angles?
The answer is no. It is true of triangles, but not necessarily of other polygons. A good counterexample is the Rhombus. You can define a Rhombus as a quadrilateral with 4 congruent ( equal) sides. However, only the opposite angles are equiangular, not all 4 angles. Picture, if you will, a very elongated Rhombus to easily see this. The only equiangular Rhombus is the Square. Many regular polygons are equiangular but not all.
Can a square be called a rhombus and a rhombus can't be called a square?
It is true. For any geometrical object to be square, it should bave all sides equal and all four interior angles 90o each. But for rhombus all four sides are equal but not all 4 angles. Only the opposite angles are equal in rhombus. In square all four sides are equal and also the oposite angles are equal (although two opposites are equal). So the abouve expression is correct.
What does a square and rhombus have in common?
They are both quadrilaterals with 4 equal sides.
Is a square and a rhombus the same?
No. Any square is also a rhombus, but the reverse is not true. A rhombus is a parallelogram having all four sides equal. A square is a rhombus in which all the angles are right angles.
What is true of all rhombuses?
-- The rhombus has four sides. -- All four of its sides are equal in length. -- Its opposite sides are parallel. -- The sum of its interior angles is 360 degrees. -- Its opposite angles are equal. -- Its diagonals are perpendicular and bisect each other. A rhombus with all 4 angles equal (at 90°) is called a square (which is a special kind of rectangle in which all 4 sides are of equal length); thus some rhombuses are rectangles (and some rectangles are rhombuses).
Is it true that all angles in a rhombus are acute?
No. A Rhombus has two obtuse angles and two acute angles
