9.3. Arcs in Circles http://www.ck12.org
b) The two arcs have the same measure, but are not congruent because the circles have different radii.
- The sum of the measure of the arcs is 360◦because they make a full circle.
mAB̂+mAD̂+mDB̂= 360 ◦
( 4 x+ 15 )◦+ 92 ◦+( 6 x+ 3 )◦= 360 ◦
10 x+ 110 ◦= 360 ◦
10 x= 250
x= 25Interactive Practice
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/112993Explore More
Determine if the arcs below are a minor arc, major arc, or semicircle of
⊙
G.EBis a diameter.
1.AB̂
2.ABD̂
3.BCÊ
4.CAÊ
5.ABĈ
6.EAB̂
- Are there any congruent arcs? If so, list them.
- IfmBĈ= 48 ◦, findmCD̂.
- Using #8, findmCAÊ.
Determine if the blue arcs are congruent. If so, state why.