Download - Inscribed Angles
Inscribed Angles
9.4
Warm UpFind each value.
1. mBCA
2. t
Solve for x.
3. 58 – x = 4 (x + 7)
4. 2 (x – 8) = 8
• An inscribed angle has its vertex ON the circle and its sides are chords of the circle.
• The measure of an inscribed angle is equal to half the measure of the arc.
• m∠ACB = ½ measure of arc AB
60
40
If mAB=60 degrees.
1.Is AX = XB?
2.Is AC = BC?
3.Find ACB.
4.Find mACB.
5.Find mAXB.
• An angle formed by a chord and a tangent is also equal to the half the arc that is created.
m∠1 = ½ measure of arc AB
In Circle C, what is m∠ABC?
Central InscribedAngle Angle
Find x
1. If KN = 50, then m1=
2. If MN = 110, then m2=
3. If KN = 70 and MN = 115, then KNM=
4. If KPM = 170 and KP = 100, then PM=
5. If m 1 = 28, then KN=
6. If m 2=76, then NM =
7. If m 1 = 24 and m 2 = 68,Then KNM=
8. If m 1 = 28 and m 2 = 69, then KPM=
If two inscribed angles intercept the same or congruent arcs, then
the angles are congruent.
68 ̊
Find AB
A BA B
Find mEDF.
Find x
Find x
Find a.
Find z.
In circle P, EN=66, m∠GPM=89 ̊, GN is a diameter.
a. GM b. NM c. GE d. m GEN
e. m EGN f. m EMN
g. m GNM h. m GME
i. m EGM
In Circle Z, AB // DC, BC = 94 ̊̊ and m∠AZB = 104 ̊.
a.AB
b.mBAC
c.mADB
Find each measure.
mDAE
Find the angle measures of GHJK.
Find the angle measures of JKLM.
Lesson Quiz: Part I
Find each measure.
1. RUS
2. a
3. Find the angle measures
of ABCD.