Edmentum Mastery Test: Inscribed and Circumscribed Circles (100%)

Each list shows the interior angle measures of a quadrilateral. Which set of measures describes a quadrilateral that cannot be inscribed in a circle?

C. 42°, 64°, 118°, 136°

Quadrilateral BCDE is inscribed in circle A as shown. What is m∠E?

B. 96°

Quadrilateral BCDE is inscribed in circle A as shown. BD- divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which statement is true about the triangles?

C. The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.

Select the correct answer from each drop-down menu. Point O is the center of a circle passing through points A, B, and C. ∠B is a right angle. The center of the circumscribed circle lies on line segment [ ], and the longest side of the triangle is equal to the [ ] of the circle.

CA diameter

In the diagram, P1P2 and Q1Q2 are the perpendicular bisectors of AB- and BC-, respectively. A1A2 and B1B2 are the angle bisectors of ∠A and ∠B, respectively. The center of the inscribed circle of ΔABC is point [ ], and the center of the circumscribed circle of ΔABC is point [ ].

S, P