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Inscribed Angles 9.4

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Inscribed Angles. 9.4. Warm Up Find each value. 1. m  BCA 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. - PowerPoint PPT Presentation

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Page 1: Inscribed Angles

Inscribed Angles

9.4

Page 2: Inscribed Angles

Warm UpFind each value.

1. mBCA

2. t

Solve for x.

3. 58 – x = 4 (x + 7)

4. 2 (x – 8) = 8

Page 3: Inscribed Angles

• An inscribed angle has its vertex ON the circle and its sides are chords of the circle.

Page 4: Inscribed Angles

• The measure of an inscribed angle is equal to half the measure of the arc.

• m∠ACB = ½ measure of arc AB

60

40

Page 5: Inscribed Angles

If mAB=60 degrees.

1.Is AX = XB?

2.Is AC = BC?

3.Find ACB.

4.Find mACB.

5.Find mAXB.

Page 6: Inscribed Angles

• 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?

Page 7: Inscribed Angles

Central InscribedAngle Angle

Page 8: Inscribed Angles
Page 9: Inscribed Angles

Find x

Page 10: Inscribed Angles

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=

Page 11: Inscribed Angles

If two inscribed angles intercept the same or congruent arcs, then

the angles are congruent.

68 ̊

Page 12: Inscribed Angles

Find AB

A BA B

Page 13: Inscribed Angles

Find mEDF.

Page 14: Inscribed Angles

Find x

Page 15: Inscribed Angles

Find x

Page 16: Inscribed Angles

Find a.

Page 17: Inscribed Angles

Find z.

Page 18: Inscribed Angles

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

Page 19: Inscribed Angles

In Circle Z, AB // DC, BC = 94 ̊̊ and m∠AZB = 104 ̊.

a.AB

b.mBAC

c.mADB

Page 20: Inscribed Angles

Find each measure.

mDAE

Page 21: Inscribed Angles
Page 22: Inscribed Angles

Find the angle measures of GHJK.

Page 23: Inscribed Angles

Find the angle measures of JKLM.

Page 24: Inscribed Angles

Lesson Quiz: Part I

Find each measure.

1. RUS

2. a

3. Find the angle measures

of ABCD.

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