Question

Please answer all of the given questions.
(i) Are all angles of a rhombus equal?
(ii) List all the characteristics of rhombus.
(iii) Can the area of a rhombus be the product of it's base and corresponding height since it is a type of a parallelogram?​

Answer 1

1. No

2. All sides are equal.

Diagnols bisect each other.

3. Yes, a rhombus is a type of paralellogram.

Answer 2

1)The angles in a rhombus are all equal only when the rhombus is a square.

In the general case, opposite angles are congruent, and consecutive angles are supplementary. This is because the opposite sides are parallel. When parallel lines are cut by a transversal (in this case another side) the same side interior angles are supplementary. The opposite angles are congruent because angles supplementary to the same angle are congruent to each other.

2)*Opposite angles of a rhombus have equal measure.

*The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral.

*Its diagonals bisect opposite angles.