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Answer :
Final answer:
A rhombus is a special type of parallelogram with specific characteristics such as congruent consecutive sides, congruent opposite angles, and perpendicular diagonals.
Explanation:
A rhombus is a special type of parallelogram that has the following characteristics:
Diagonals are perpendicular: The diagonals of a rhombus intersect at right angles.
2 pairs of consecutive sides are congruent: A rhombus has two pairs of consecutive sides that have the same length.
Diagonals are congruent: The diagonals of a rhombus have the same length.
Diagonals bisect each other: The diagonals of a rhombus divide each other into two equal parts.
Both pairs of opposite angles are congruent: A rhombus has opposite angles that have the same measure.
4 sides are congruent: All four sides of a rhombus have the same length.
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Rewritten by : Jeany
Final answer:
A rhombus has several distinct properties including perpendicular diagonals, congruent sides and angles, and supplementary consecutive angles. Diagonals bisect each other but are not congruent, and opposite sides are both congruent and parallel.
Explanation:
When considering the characteristics that apply to a rhombus, we must recognize its properties as a special type of parallelogram. Here are the correct characteristics from the given options:
Diagonals are perpendicular
2 pairs of consecutive sides are congruent
Diagonals bisect each other
Both pairs of opposite angles are congruent
Diagonals bisect opposite angles
Consecutive angles are supplementary
Both pairs of opposite sides are congruent
Both pairs of opposite sides are parallel
4 sides are congruent
Points to note about rhombi include that all sides are congruent, which satisfies the definition of a rhombus (point 15). The diagonals of a rhombus intersect at right angles (point 1), and they bisect each other, but they are not congruent (eliminating point 3), which also means they bisect the angles formed by the congruent sides (points 7 and 8), and due to the properties of parallelograms, opposite angles are congruent (point 5).
