College Geometry

Question

Three diagrams are given below. 

Based on the above diagrams, which of the following statements are true? 

Create an answer using the numbers associated with the true statements. For example, if only 1, 2, and 5 are true, then the answer is 125; if only 3 and 5 are true, then the answer is 35, etc. 

1.   AB⎯⎯⎯⎯⎯⎯⎯ is a diameter of ⊙P.

2.   ∠APC is a central angle of ⊙P.

3.   If HK⎯⎯⎯⎯⎯⎯⎯⎯⎯⊥GF⎯⎯⎯⎯⎯⎯⎯⎯ in ⊙H, then HJ⎯⎯⎯⎯⎯⎯⎯⎯≅JF⎯⎯⎯⎯⎯⎯⎯.

4.   HK⎯⎯⎯⎯⎯⎯⎯⎯⎯ is a chord of ⊙H.

5.   BC⏜ is a minor arc of ⊙P.

6.   ∠DBA is a central angle of ⊙P.

7.   The circles in Figure 2 are concentric circles.

a) 13457

b) 123457

c) 125

d) 45

e) 2356

f) 23457

g) None of the above

Answer 1

1. Segment AB IS a diameter Answer so far: 1
2. Angle APC IS a central angle Answer so far: 12
3. False. It is Segment GJ that is congruent to Segment JF Answer so far: 12
4. False. A chord has both endpoints ON the circle. Answer so far: 12
5. Arc BC is less than half of the circle, so it is a MINOR ARC. True. Answer so far: 125
6. False. Angle DBA is an "inscribed" angle. Answer so far: 125
7. False. Concentric circles share a center point. FINAL ANSWER: 125 (Answer choice C)