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TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Dec 29, 2015

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Colin Barker
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Page 1: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 2: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 3: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 4: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 5: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 6: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 7: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

TANGENTS

ARCS, CHORDS, & CENTRAL

ANGLES

INSCRIBED ANGLES

INTERIOR & EXTERIOR

ANGLES

LENGTHS OF

SEGMENTS

$100 $100 $100 $100 $100$200 $200 $200 $200 $200$300 $300 $300 $300 $300$400 $400 $400 $400 $400$500 $500 $500 $500 $500

FINAL GEOPARDY!

Page 8: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

If and AB = 8, then find length of AC to the nearest tenth.

AC = 11.3

45BAC

Page 9: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Name a pair of triangles that are congruent and name all postulates that justify this

conclusion.

ΔAMT =ΔHMT by SSS, SAS, or HL

Page 10: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Given that Calculate the following angles:

Each angle is 75°

30Fm

FWLm FLWm

Page 11: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Draw all possible common tangents of the two circles. Identify each tangent as

common internal tangent or a common external tangent.

Two common external tangents, one common internal tangent.

Page 12: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Given CD = 9 and DA = 8, find the length BC.

BC = 15

Page 13: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

List the two important differences between a minor arc

and a major arc.

Minor arcs are less than 180° whereas major arcs are greater than 180°. Minor arcs are named with two points, major

arcs are named with three points.

Page 14: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Give the ratio of a central angle to the arc it creates.

1 : 1

Page 15: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the measure of the indicated arc. minor arc AB = _______ major arc BAD = _______

minor arc AC = _______ semicircle ABD = _______

major arc CDA = _______ major arc CDB = _______

 

50° 230°130° 180°230° 280°

Page 16: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

XY = 18.8

12DZ 9DU10WVGivenFind the length of XY to the nearest tenth.

Page 17: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Given Find the length of RT.

RT = 30

25AR 20AS

Page 18: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Give the ratio of an inscribed angle to the arc it intercepts.

1 : 2

Page 19: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the values of x and y.

x = 76°, y = 76°

Page 20: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the values of x and y.

x = 95°, y = 70°

Page 21: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the values of x and y.

x = 120°, y = 60°

Page 22: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the values of x and y.

x = 70°, y = 70°

Page 23: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Provide the general formulas used to calculate the measure of

an interior angle and the measure of an exterior angle.

Interior Angle = (arc + arc)/2 Exterior Angle = |arc – arc|/2

Page 24: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the measure of angle 2 to the nearest tenth.

Angle 2 =137.5 °

Page 25: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the measure of angle 3.

Angle 3 = 40°

Page 26: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find the measure of arc x.

x = 130° or 10°

Page 27: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Given that arc CT = 80º and , find the measure

of arc BT.

arc BT = 10° or 150°

35Am

Page 28: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find x.

x = 4

Page 29: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find x.

x = 4

Page 30: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find x.

x = 4

Page 31: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find x.

x = 4

Page 32: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Find x.

x = 6

Page 33: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 34: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!
Page 35: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Classify each numbered angle (#1-10) as central, inscribed, interior, or

exterior.

Page 36: TANGENTS ARCS, CHORDS, & CENTRAL ANGLES INSCRIBED ANGLES INTERIOR & EXTERIOR ANGLES LENGTHS OF SEGMENTS $100 $200 $300 $400 $500 FINAL GEOPARDY!

Angle 1 is a central angle.Angle 2 is an inscribed angle. Angle 3 is an inscribed angle.Angle 4 is an inscribed angle.Angle 5 is an interior angle.Angle 6 is an interior angle.Angle 7 is an exterior angle. Angle 8 is an interior angle.

Angle 9 is an inscribed angle.Angle 10 is an inscribed angle.