Geometry Prep
Name____________________ Homework 2.1 Angle Basics
1. An angle is formed by two ___________ with a common endpoint, called the _____________. The angle symbol is ________. 2. What are the three different ways we can write an angle? a. A
b.
1
c.
B
C
3. Angles are measured in _______________. Name the vertex and rays that make each angle. Then name the angle. A
4. B
X
5.
6.
C
Y
I
H
G
Z
Vertex __________
Vertex __________
Vertex __________
Rays __________
Rays __________
Rays __________
Angle __________
Angle __________
Angle __________
Name each angle in four different ways. 7.
8.
A 3 B
9.
X
C
1
2 G
D
Z
H
Y
R
10.
T F
11.
2 S M
12.
5 R
4 D
S N
Draw an angle with the given vertex and sides. Then name the angle. 13. Vertex M; Sides MN, MO 14. Vertex R; Sides RP, RA
15. Vertex V; Sides VM,VP
16. Vertex Y; Sides YR,YM
17. Vertex A; Sides AR, AM
18. Vertex H; Sides HI, HJ
Name all the angles that have a common vertex. 19.
D
A
C
F
21.
H
D
G
Y
T
F
23.
R
W Z
B
22.
X
20.
24. S
A R
O M
S
D
S N
1. rays; vertex; ∠ 2. ∠1, ∠B, ∠ABC 3. degrees
4. vertex: B, rays: BA, BC , angle: ∠ABC or ∠B 5. vertex: Y, rays: YX ,YZ , angle: ∠XYZ or ∠Y 6. vertex: H, rays: HI, HG , angle: ∠GHI or ∠H 7. ∠3, ∠B, ∠ABC, ∠CBA 8. ∠1, ∠Y , ∠XYZ, ∠ZYX 9. ∠2, ∠G, ∠DGH, ∠HGD 10. ∠2, ∠R, ∠MRS, ∠SRM 11. ∠4, ∠D, ∠FDN, ∠NDF 12. ∠5, ∠T , ∠STR, ∠RTS 14. ∠R or ∠PRA 13. ∠M or ∠NMO R
15. ∠V or ∠MVP
N M A
P
P
M
V
O
17. ∠A or ∠RAM
16. ∠Y or ∠RYM Y
18. ∠H or ∠IHJ
R I M
M A
R
19. 20. 21. 22. 23. 24.
∠ABD, ∠DBC, ∠ABC ∠XYW , ∠WYZ, ∠XYZ ∠DGF , ∠FGH, ∠DGH ∠MRO, ∠ORS, ∠MRS ∠FDS, ∠SDN, ∠FDN ∠STR, ∠RTA, ∠STA
J H