Question

question 2 of 10
true or false? it is impossible to circumscribe a circle about the quadrilateral
below.

a. true

b. false

Explanation:

A quadrilateral that can have a circumscribed circle (cyclic quadrilateral) has opposite angles that sum to $180^\circ$. In the given rectangle, each pair of opposite angles sums to $90^\circ + 90^\circ = 180^\circ$, so it is cyclic. A circle can be circumscribed about it with its center at the intersection of the diagonals and radius equal to half the diagonal length.

Answer:

B. False