Question

6. Which statement is always true about a rhombus? Explain why.
a) It has 4 right angles.
b) The sum of the measures of the angles is 180°.
c) It has exactly one pair of parallel sides.
d) It has 4 congruent sides.
Por favor ayuda

Answer 1

Respuesta:

D) It has 4 congruent sides

Explicación:

A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides.

In a rhombus, the opposite sides are parallel and the opposite angles are equal, which means it has more than one pair of parallel sides (and therefore option c is not true).

Since it is a quadrilateral, the inner angles sum up 360°, so option b is not correct. Even though the angles must sum up 360, it doesn't mean they all have to be 90°, the only condition that has to be true is that the opposite angles are equal, therefore option a is not true either.

This ends up meaning that option d is the right one, the sides will always be the same size.