What is a quadrilateral with no square corners?

A quadrilateral with no square corners is typically referred to as a ‘non-right quadrilateral.’ This means that none of its four interior angles measures 90 degrees. There are several types of non-right quadrilaterals, including trapezoids, rhombuses, and random irregular quadrilaterals.

To better understand this, consider the properties of quadrilaterals. A quadrilateral has four sides, and the sum of its interior angles always equals 360 degrees. In a non-right quadrilateral, each angle can vary, but they all remain less than 90 degrees or greater than 90 degrees, ensuring that there are no right angles present. For instance:

  • Trapezoids: Some trapezoids can have angles that do not equal 90 degrees, thus fitting the criteria.
  • Rhombuses: A rhombus has equal sides but typically does not have any right angles unless specified.
  • Irregular Quadrilaterals: These can have any combination of angles as long as they total 360 degrees without forming a right angle.

In practical terms, when you’re looking at a shape and you want to determine if it’s a quadrilateral without square corners, just check to see if any of the angles are right angles. If not, you’ve got a non-right quadrilateral on your hands!

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