
Angles and Arcs in Circles
Presentation
•
Mathematics
•
9th - 10th Grade
•
Hard
Standards-aligned
Kassandra Diaz
Used 55+ times
FREE Resource
8 Slides • 8 Questions
1
Angles and Arcs in Circles
2
Objectives
Identify central angles, minor arcs, major arcs, semicircles and find their measures
Find arc lengths
3
Multiple Choice
Which of the following best represents line GH?
tangent
chord
segment
secant
4
Multiple Choice
Which of the following best represents line BK?
tangent
chord
segment
secant
5
Multiple Select
Which of the following best represents the point of tangency in circle J?
A
E
K
G
6
What is a Central Angle?
A central angle is an angle whose vertex is at the center of the circle and is formed by two radii.
7
8
Ways to label angles
By the Vertex: ∠O
By the points: ∠AOB (Vertex should always be in the middle of two points)
If angles are numbers then can be labeled by number. Example: ∠1
9
Multiple Select
Choose the correct way(s) to label the angle.
∠ABC
∠CBA
∠B
∠C
10
Ways of Labeling Arcs
Use the endpoints of the arc:
CB or BC would be the blue arc
CDB or BDC would be the red arc (use points in-between endpoints to indicate which direction to go in)
Arc CBD (Start at C, go to B then go to D)
11
Multiple Select
Correctly choose the correct names for the central angle and its intercepted arc
∠CDA ; Arc BD
∠FEB ; Arc BCF
∠CAD ; Arc CFD
∠CFE ; Arc BED
12
Multiple Select
Choose the correct way to label the pink arc
CB
CAB
AB
BAC
CDB
13
Labeling arcs and angles
Labeling angles stays the same as before
Labeling the arc stays the same
The intercepted arc corresponds to the endpoints of the angle. Example: The intercepted arc of ∠EDG is Arc GE
14
Multiple Select
Check the boxes that have the correct label for the red arc.
CDB
CB
D
CAB
BDC
15
Labeling Inscribed Angles and Arcs
Labeling Inscribed Angles is the same as normal angles
Labeling Arcs is the same.
Example: the inscribed angle is ∠EFG and the intercepted arc would be the endpoints of the angle EG
16
Multiple Select
Correctly choose the correct names for the inscribed angle and its intercepted arc
∠CDA ; Arc BD
∠FEB ; Arc BFD
∠CAD ; Arc CFD
∠CFE ; Arc BED
Angles and Arcs in Circles
Show answer
Auto Play
Slide 1 / 16
SLIDE
Similar Resources on Wayground
14 questions
Using and Interpreting Intercepts
Presentation
•
9th - 10th Grade
12 questions
Imaginary & Complex Numbers
Presentation
•
9th - 11th Grade
10 questions
Quadrilaterals
Presentation
•
8th - 10th Grade
11 questions
Solving absolute value equations
Presentation
•
9th - 11th Grade
11 questions
Lesson 1.1 Midpoint Formula
Presentation
•
9th - 10th Grade
13 questions
Dilations
Presentation
•
9th - 10th Grade
13 questions
Systems of Equations. Elimination
Presentation
•
9th - 10th Grade
11 questions
Sequences of Transformations (Rigid Motions)
Presentation
•
8th - 10th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade