yes – one set of opposite sides are congruent and parallel
The statement you provided refers to the definition of a parallelogram
The statement you provided refers to the definition of a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel sides. In addition to parallel sides, a parallelogram also has another important property—opposite sides are congruent.
To understand this definition better, let’s break down its components:
1. Quadrilateral: A quadrilateral is a polygon with four sides. Examples of quadrilaterals include rectangles, squares, parallelograms, and trapezoids.
2. Parallel sides: Parallel sides of a quadrilateral are lines or line segments that never intersect. In a parallelogram, both pairs of opposite sides are parallel, which means they are always equidistant from each other.
3. Congruent sides: Congruent sides have the same length. In the case of a parallelogram, the opposite sides are congruent. This means that the length of one pair of opposite sides is equal to the length of the other pair of opposite sides. So, if we denote the sides of a parallelogram as AB, BC, CD, and DA, then AB = CD and BC = DA.
In summary, a parallelogram has the property that its opposite sides are both congruent and parallel. This property distinguishes it from other types of quadrilaterals and helps define its shape.
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