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Does each diagonal of a rhombus bisects of pair of opposite angles?
no
Would each diagonal of a rhombus bisect a pair of opposite angles Choices A never B sometimes C always?
Each diagonal of a rhombus would never bisect a pair of opposite angles, but the diagonals are perpendicular to each other
What shape has diagonals that are perpendicular?
The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.
Is a rhombus always a kite?
A rhombus is never a kite.A rhombus is a parallelogram with all its sides equal in length. Opposite angles are therefore equal and the rhombus is symmetrical about each of its diagonals.A kite is a quadrilateral having two pairs of adjacent sides equal in length. Only one pair of opposite angles is equal and the kite is symmetrical about the line that bisects the unequal opposite angles. A kite does not have any parallel sides.
Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
