how many pairs of congruent sides does a rhombus have?
The rhombus is a parallelogram with four congruent sides. A square is a special case of a rhombus.
A rhombus has two pairs of congruent sides.
To understand why, it's helpful to know that a rhombus is a special type of quadrilateral (a four-sided polygon). Specifically, a rhombus is a quadrilateral with all sides of equal length.
To determine the number of pairs of congruent sides in a rhombus, you can start by drawing a rhombus. Since all sides are equal in length, label one side as "AB" and make it the reference side. Then, label the other three sides as "BC," "CD," and "DA."
By definition, opposite sides in a rhombus are parallel, which means that side BC is parallel to side AD, and side AB is parallel to side CD. Additionally, adjacent sides in a rhombus are congruent, so side BC is congruent to side AD, and side AB is congruent to side CD. Therefore, there are two pairs of congruent sides in a rhombus: AB and CD, and BC and AD.
So, a rhombus has two pairs of congruent sides.