Splash screen
Download
1 / 43

Splash Screen - PowerPoint PPT Presentation


  • 71 Views
  • Uploaded on

Splash Screen. Five-Minute Check (over Lesson 10–1) Then/Now New Vocabulary Key Concept: Sum of Central Angles Example 1: Find Measures of Central Angles Key Concept: Arcs and Arc Measure Example 2: Classify Arcs and Find Arc Measures Theorem 10.1

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Splash Screen' - debbie


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Lesson menu

Five-Minute Check (over Lesson 10–1)

Then/Now

New Vocabulary

Key Concept: Sum of Central Angles

Example 1: Find Measures of Central Angles

Key Concept: Arcs and Arc Measure

Example 2: Classify Arcs and Find Arc Measures

Theorem 10.1

Example 3: Real-World Example: Find Arc Measures in Circle Graphs

Postulate 10.1: Arc Addition Postulate

Example 4: Use Arc Addition to Find Measures of Arcs

Key Concept: Arc Length

Example 5: Find Arc Length

Lesson Menu


5 minute check 1

A

B

C

D

Name a radius.

A.

B.

C.

D.

5-Minute Check 1


5 minute check 2

A

B

C

D

Name a chord.

___

A.LF

B.MF

C.OM

D.NF

___

___

___

5-Minute Check 2


5 minute check 3

A

B

C

D

Name a diameter.

____

A.OM

B.OL

C.NF

D.MF

___

___

____

5-Minute Check 3


5 minute check 4

A

B

C

D

Refer to the figure. Find BC.

A. 2

B. 3

C. 4

D. 5

5-Minute Check 4


5 minute check 5

A

B

C

D

Refer to the figure. Find DE.

A. 9

B. 11

C. 13

D. 15

5-Minute Check 5


5 minute check 6

A

B

C

D

Find the length of the radius of the circle.

A. 6.5 in.

B. 10.9 in.

C. 13 in.

D. 17 in.

5-Minute Check 6


Then now

You measured angles and identified congruent angles. (Lesson 1–4)

  • Identify central angles, major arcs, minor arcs, and semicircles, and find their measures.

  • Find arc lengths.

Then/Now


Vocabulary

  • arc length

  • arc

  • minor arc

  • major arc

  • semicircle

  • congruent arcs

  • adjacent arcs

Vocabulary


Concept
Concept 1–4)


Example 1

Find Measures of Central Angles 1–4)

Find the value of x.

Example 1


Example 11

The sum of the measures of 1–4)

Find Measures of Central Angles

Substitution

Simplify.

Add 2 to each side.

Divide each side by 26.

Answer:x = 7

Example 1


Example 12

A 1–4)

B

C

D

Find the value of x.

A. 9

B. 10

C. 11

D. 65

Example 1


Concept1
Concept 1–4)


Example 2

Answer: 1–4)

Classify Arcs and Find Arc Measures

Example 2



Example 22

Answer: 1–4)

Classify Arcs and Find Arc Measures

Example 2


Example 23

Answer: 1–4)

Classify Arcs and Find Arc Measures

Example 2


Example 24

A 1–4)

B

C

D

A.

B.

C.

D.

Example 2


Example 25

A 1–4)

B

C

D

A.

B.

C.

D.

Example 2


Example 26

A 1–4)

B

C

D

A.

B.

C.

D.

Example 2


Concept2
Concept 1–4)


Example 3

Answer: 1–4)

Find Arc Measures in Circle Graphs

mLPK = 0.21(360) Find 21% of 360.

= 75.6 Simplify.

Example 3



Example 32

Answer: 1–4)

Find Arc Measures in Circle Graphs

Sum of arc in circle is 360.

Substitution

Simplify.

Simplify.

Example 3


Example 33

A 1–4)

B

C

D

A. 124.3

B. 140.4

C. 155.6

D. 165.9

Example 3


Example 34

A 1–4)

B

C

D

A. 273.6

B. 240.5

C. 215.7

D. 201.4

Example 3


Concept3
Concept 1–4)


Example 4

. 1–4)

Use Arc Addition to Find Measures of Arcs

Example 4


Example 41

Answer: 1–4)

Use Arc Addition to Find Measures of Arcs

Arc Addition Postulate

= mLH + mHI

Substitution

= 58 + 32

= 90

Example 4



Example 43

Answer: 1–4)

Use Arc Addition to Find Measures of Arcs

Arc Addition Postulate

= mIJ + mJK

Substitution

= 90 + 58

= 148

Example 4


Example 44

A 1–4)

B

C

D

A. 38

B. 52

C. 90

D. 180

Example 4


Example 45

A 1–4)

B

C

D

A. 52

B. 90

C. 142

D. 180

Example 4


Concept4
Concept 1–4)


Example 5

cm 1–4)

Use a calculator.

Answer:

Find Arc Length

Arc Length Equation

Substitution

Example 5


Example 51

Answer: 1–4)

Find Arc Length

Arc Length Equation

Substitution

Use a calculator.

Example 5


Example 52

Answer: 1–4)

Find Arc Length

Arc Length Equation

Substitution

Use a calculator.

Example 5


Example 53

A 1–4)

B

C

D

A. 3.56 cm

B. 3.77 cm

C. 3.98 cm

D. 4.21 cm

Example 5


Example 54

A 1–4)

B

C

D

A. 36.56 cm

B. 37.79 cm

C. 38.61 cm

D. 40.21 cm

Example 5


Example 55

A 1–4)

B

C

D

A. 32.99 cm

B. 33.59 cm

C. 33.89 cm

D. 34.61 cm

Example 5