Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central...
Transcript of Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central...
![Page 1: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/1.jpg)
AB
C
D
Minor Arc AB
Major Arc ADBCentral Angle ∠ACB
Naming the Central Angle, Major Arcs, and Minor Arcs
![Page 2: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/2.jpg)
Name the major and minor arcs and the central angles of these circles:
Major Arc:
Minor Arc:
Central Angle:
Major Arc:
Minor Arc:
Central Angle:
![Page 3: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/3.jpg)
Measuring ArcsThe measure of a minor arc is the measure of the central angle.
AB
C
D
Minor Arc mAB = 85°
Major Arc ADBCentral Angle ∠ACB = 85°
![Page 4: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/4.jpg)
Minor Arc mAB = 85°A
B
C
D
Major Arc
mADB = 360°- 85° = 275°
Central Angle ∠ACB = 85°
Measuring ArcsThe measure of a major arc is 360° minus the measure of the central angle.
![Page 5: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/5.jpg)
Postulate 23: Arc Addition PostulateThe measure of an arc formed by two adjacent arcs is the sum of the two arcs.
A
BC
D
mCB+mDC = mDCB
![Page 6: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/6.jpg)
Find the measure of "?"FC and BE are diameters
Find the measure of EDC
![Page 7: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/7.jpg)
Find the measures of:
∠QPR =
UTS =
QUT =
![Page 8: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/8.jpg)
FindWT and SV are Diameters
![Page 9: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/9.jpg)
Find
![Page 10: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/10.jpg)
Two circles are congruent if they have the same radius.
Two arcs are congruent if they have the same measure and they are on the same circle or congruent circles.
r r
r r
A
B
C
D
X
Y
W
AB CD WX XY
OR
![Page 11: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/11.jpg)
Exit ticket:1) Answer the following question and explain your answer:
Are all circles similar?
2) Summarize what you learned today.
Review the main ideas of today's class, important ideas we discussed, anything else that stood out as important to today's class, also anything that is still confusing.
![Page 12: Naming the Central Angle, Major Arcs, and Minor Arcs...Name the major and minor arcs and the central angles of these circles: Major Arc: Minor Arc: Central Angle: Major Arc: Minor](https://reader030.fdocuments.net/reader030/viewer/2022040303/5e8938bfb76422254d2e0410/html5/thumbnails/12.jpg)
Vocabulary SheetsWords:
Circle
Chord
Secant
Tangent
Coplanar
Common Tangents
Central Angle
Minor Arc
Major Arc