Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.

Question

1. Any angle inscribed in a semicircle must be a right angle.
2. If the central angle of a sector with radius 10 measures 60°, then the area of the sector is 5/3 square inches.
3. The measure of an inscribed angle, ?A, in a circle is twice the measure of a second inscribed angle, ?B, in the same circle. Then the arc intercepted by ?A is twice as long as the arc intercepted by ?B.
4. If P is the midpoint of chord AB in circle O, then ?OPB = 90°.

Answer 1

1. T
2. F–Area = 50?/3 sq. in.
3. T
4. T