1. Warmup 11/12/14
Directions: Complete the following warmup quiz. Once you’re finished, please put your pencil away and get out a pen or marker and wait for further instructions. Make sure your name is on your paper.
1) 𝑚 𝑂𝐿 =
2) 𝑚∠𝑂𝑃𝑀
3) 𝑚 𝑁𝑂𝐿 =
4) 𝑚 𝑂𝑁𝑀 =
are diameters. Find the indicated measures.
𝑂𝐿 =55°
∠𝑂𝑃𝑀=130°
𝑁𝑂𝐿 =180°
𝑂𝑁𝑀 =230°

2. Homework Review

3. EOCT Review
Megan is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle is 12 inches long. Megan is gluing a line of stars from the midpoint of one side of this triangle to the opposite vertex. Approximately how long will the line of stars be?
13.4
10.4
8.5
5.2 b

4. CCGPS Geometry Day 22 (9-6-13)
UNIT QUESTION: What special properties are found with the parts of a circle?
Standard: MMC9-12.G.C.1-5,G.GMD.1-3
Today’s Question:
What other angle relationships do we know for circles?
Standard: MMC9-12.G.C.2

5. Case I: Vertex is AT the centerP C B

6. Case II: Vertex is ON circle
ANGLE
ARC
ARC
This case includes: inscribed and tangent angles
ANGLE

7. Ex. 1 Find m1. 1
84°
𝑚∠1=42°

8. 202°
Ex. 2 Find m1. 1
𝑚∠1=79°

9. Case III: Vertex is INSIDE circle
ARC B
ANGLE D
ARC C
Be sure to emphasize that the angles are directly across from the arcs…. Big problem last year
Looks like a PLUS sign!

10. Ex. 3 Find m1.
93° A B 1 D C
113°
𝑚∠1=103°

11. Ex. 4 Find mQT. N Q
84°
92° M T
𝑚 𝑄𝑇 =100°

12. Ex. 5 Find x.
45
93 xº
89
𝑥=89°

13. Case IV: Vertex is OUTSIDE circle
ANGLE
small ARC A −
LARGE ARC D B
I can foresee a problem with locating the Large Arc OR subtracting the Small Arc from the Large Arc

14. Ex. 6 Find m1. 1
15° A D
65° B
𝑚∠=25°

15. Ex. 7 Find mAB. A
27°
70° B
𝑚 𝐴𝐵 =16°

16. Ex. 8 Find m1.
260° 1
𝑚∠1=80°

17. Classwork Riddle Worksheet

18. Homework Practice Worksheet