Answer:
B, E are true
Explanation:
You want to identify the true statements about the circumscribed triangle figure.
A. Arc sum
The sum of the inscribed angles is correctly shown as 180°. That is the sum of the angles interior to the triangle. However, the sum of the arcs of the circle is twice that, 360°. The statement is False.
B. Perpendicular bisectors
The perpendicular bisector of any chord of a circle passes through the center of the circle. The statement is True.
C. Central, inscribed angles
Inscribed angle ADC is half the measure of central angle ABC subtending the same arc AC. The statement is False.
D. Radial distance
The distance from the center (B) to any point on a circle is the same. The statement is False.
E. Circumcircle
The circle passes through the vertices of triangle ACD. Such a circle is said to circumscribe the triangle. The statement is True.
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