True or False? A circle could be circumscribed about the quadrilateral below.A.TrueB.FalseSUBMITarrow_backPREVIOUS

To determine whether a circle can be circumscribed about a quadrilateral, we need to understand the criteria for a quadrilateral to be cyclic. A quadrilateral can be circumscribed by a circle (is cyclic) if and only if the opposite angles of the quadrilateral are supplementary.

1. Break Down the Problem

   • Identify the properties of cyclic quadrilaterals.
   • Check if the given quadrilateral satisfies the conditions.

2. Relevant Concepts

   • A quadrilateral is cyclic if: $\angle A + \angle C = 180^\circ \quad \text{and} \quad \angle B + \angle D = 180^\circ$

3. Analysis and Detail

   • Without specific angle measures provided in the problem, we can't definitively check for the conditions mentioned above.
   • If this quadrilateral has opposite angles that add up to $180^\circ$, then a circle can be circumscribed around it.

4. Verify and Summarize

   • If the opposites angles are supplementary, then the statement is True; otherwise, it is False.

Final Answer

Without specific angles given, it cannot be definitively stated. However, based on the property of cyclic quadrilaterals, it is conditioned upon the sum of opposite angles. The answer could be either True or False, depending on those angles.