True, it is possible to draw a quadrilateral that has no parallel lines and contains at least one right angle. A quadrilateral is defined as a polygon with four edges and four vertices. To illustrate this, consider the following example:
- Imagine a rectangle, which is a quadrilateral but has two pairs of parallel sides. We need to consider a different shape.
- Take a right-angled triangle and extend one of its sides to create a quadrilateral. If you draw a right-angled triangle and connect its hypotenuse to any point off the extension of the base (not parallel), you can create a quadrilateral.
For instance, if you take points A, B, C, and D such that:
- Point A (0, 0)
- Point B (0, 1) – making a right angle with the x-axis.
- Point C (1, 2)
- Point D (2, 1)
The quadrilateral ABCD has one right angle at point B, and none of the sides (AB, BC, CD, DA) are parallel to each other. Hence, this confirms that a quadrilateral can indeed be drawn without parallel lines while including at least one right angle.