A four-sides shape with both pairs of opposite sides parallel and equal in length,and with no right angles
this describes a parallelogram
The shape you are referring to is called a parallelogram. To understand why it has the properties you mentioned, let's break it down step by step.
1. Four-sides shape: A parallelogram has four sides, just like any other quadrilateral.
2. Opposite sides: In a parallelogram, the pairs of opposite sides are parallel. This means that if you extend the sides, they will never intersect. To verify this property, you can use a ruler or a straightedge to draw lines that are parallel to the sides.
3. Equal in length: The opposite sides of a parallelogram are also equal in length. This means that the two sides that are across from each other have the same measurement. You can measure the sides using a ruler to confirm this property.
4. No right angles: Unlike a rectangle or a square, a parallelogram does not have any right angles (90-degree angles). The angles in a parallelogram can vary in size, but opposite angles are always equal. You can measure the angles using a protractor to determine if any of the angles are right angles.
In summary, a parallelogram has both pairs of opposite sides parallel and equal in length, but it does not have any right angles. You can identify a parallelogram by checking these properties: parallel sides, equal side lengths, and non-right angles.