Item 6
Which shape is always a parallelogram?
A trapezoid because it has 1 pair of parallel sides.
A quadrilateral because it has 4 sides.
A hexagon because it has 3 pairs of parallel sides.
A rectangle because it has 2 pairs of parallel sides.
i do not get it
plz
first, you need to review what makes a shape a parallelogram.
thanks
The correct answer is a rectangle because it has 2 pairs of parallel sides.
To determine which shape is always a parallelogram, we need to understand the properties of a parallelogram. A parallelogram is a quadrilateral (a shape with four sides) in which both pairs of opposite sides are parallel.
Let's analyze the given options:
- A trapezoid has only one pair of parallel sides, so it is not always a parallelogram.
- A quadrilateral is a general term for any four-sided shape, so it does not guarantee the presence of parallel sides. Therefore, it is not always a parallelogram.
- A hexagon has six sides, and while it can have three pairs of parallel sides (if opposite sides are parallel), it can also have zero, one, or two pairs of parallel sides. Therefore, a hexagon is not always a parallelogram.
- A rectangle is a type of quadrilateral with four right angles. It has two pairs of parallel sides: the opposite sides are parallel. This means that a rectangle is always a parallelogram.
In summary, a rectangle is the shape that is always a parallelogram because it has 2 pairs of parallel sides.