GEO: 11-2 QC (arcs & chords)
1. Write T for True or F for False for the following      2 statements:
A) Congruent arcs have congruent central anglesand congruent central angles have congurentsecants.
B) Congruent central angles have congruent chords  and congruent chords have congruent arcs.
T or F 
T or F
2. Given central arc BC ≅ arc DE, find the measure     of the central angles below in circle A.
4x + 7
5x - 5
m∡BAC = 
m∡CAE =
o
o
3. Chords DE and BC are congruent.  Find the measure     of DE in circle A. 
25y
30y - 20
     DE = 
units
4. Angle and Arc Find:  Find all the missing angles     and arcs using the information given for circle A.
90o
m∡EAB =
arc FEB =
arc BF =
m∡BAF
5. Angle and Arc Find: Find all the missing angles and     arc measures for circle A.
133o
arc DEF =
m∡DAF =
m∡BAE =
arc BF =
6. Given that EG ≅ DG which of the following     statements is true when looking at circle A?
G
AG ≅ ED
 AB perpendicular      to ED
AB ≅ ED
arc ED = 90o
7. Given that EG ≅ DG find the length of chord ED
    if the radius of the circle = 5 and GB = 1 in circle A.
G
1
5
ED = 
8. Given that chord ED = 12 and AG = 7, find the 
    radius of the circle and GB to the nearest tenth.
G
radius= 
GB = 
9. Given that BG = 9 and GA = 5 find the following
    measures in circle A.
9
5
radius= 
ED = 
round to the 
nearest tenth.
10. Given that BG = 4 and GA = 2 find the following
      measures in circle A.
4
2
radius= 
ED = 
round to the 
nearest tenth.
11. Tell which statement is true about circle A.
m (arc) BC = ½ ∡BAC
m (arc) BC = m∡BAC
m (arc) BDC = 180o
m (arc) BDC = 90o
12. The circle graph describes how a typical college student spends their monthly allowance.  Find the measure of arc AB and arc CE.
A
G
B
E
D
arc AB = 
C
arc CE = 
13. Given central ∡BAC = 63o and arc BC ≅ arc DE,        find the measure of the arcs listed below in circle A.
63o
arc DCE =
arc DE = 
arc DB =
o
o
o
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