Transcript Slide 1

Warm Up
1. Draw AB and AC, where A, B, and C are
noncollinear.
Possible answer: A
B
C
2. Draw opposite rays DE and DF.
F
Solve each equation.
3. 2x + 3 + x – 4 + 3x – 5 = 180 31
4. 5x + 2 = 8x – 10 4
D
E
11. 5 11/12
27. skip
12. 3 ¼
28. 60 cm, 12 cm
13. Skip
31. 3.375
14. 9.1
32. 4
15. 5
33. 9
16. 28 yd
34. 3 pts noncollinear
17. DE = EF = 14; DF = 28
35. skip
18. y = 7, QR = 21
36. D
50. AB, BC
19. midpt, 16
37. J
51. AD, BD
20. 9 1/3
38. B
52. A, B, D
21. 7.1
39. H
53. CB
22. 4.25
40. 26
23. 4
41. X A D N
24. A
43. 14.02 m
25. S
48. 5a – 22
26. A
49. - 8x + 6
Angle: Figure formed by 2 rays, or sides, with common endpoint
Vertex: common endpoint
Interior of Angle: Set of all pts. between the sides of the angle
Exterior of Angle: Set of all pts. outside the angle
S
R
1
T
Naming Angles: Can be named with one letter, 3 letters or by
number
R
SRT
TRS
1
When figure has multiple angles, use 3 letters to identify
Measure: Usually given in degrees
Example 1
Use the diagram to find the measure of each
angle. Then classify each as acute, right, or
obtuse.
a. BOA
mBOA = 40°
BOA is acute.
b. DOB
mDOB = 125°
DOB is obtuse.
c. EOC
mEOC = 105°
EOC is obtuse.
Congruent Angles: Angles that have same measure
Arc marks are used to show
that the two angles are
congruent.
Example 2 mXWZ = 121° and mXWY = 59°.
Find mYWZ.
mYWZ = mXWZ – mXWY
mYWZ = 121 – 59
mYWZ = 62
Angle Bisector: Ray that divides angle into two congruent angles
JK bisects LJM; thus LJK  KJM.
Example 3
QS bisects PQR, mPQS = (5y – 1)°,
and mPQR = (8y + 12)°. Find mPQS.
5y – 1 = 4y + 6
y–1=6
y=7
mPQS = 5y – 1
= 5(7) – 1
= 34
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