Geo I
HW 1-7
Name _________________
Date _____________
W
H
L
1
2
A
E
S
1. Name 1 in as many ways
2. Give another name for Segment SA.
as possible
WAL, HAL, LAH, LAW
segment AS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
D
A
B
6
C7
5
H
G
F
3
4
E
F
3. Name:
A pair of vertical angles 3 & 6; 7 & ECG
A linear pair
6 & 7; 6n & HCE; 7 & 3; 3 & ECH
4 & FCB; 5 & FCD
4 collinear points
A, B, C & E OR H, G, C, D
Ray CB another way Ray CA
Line DH another way Line DC, line DG, line HD, line CD, line
GD, line CG, line GC, line CH, line HC, line GH, line HG
A pair of congruent angles
3  6; 7  GCE
A pair of supplementary angles see answers to “linear pair”
4. If 3 = 3x +3 & 7 = 32x + 2, find the measure of 3.
3x + 3 + 32x + 2 = 180
35x = 175
3 = 3x + 3
x=5
= 3(5) + 3 = 18
5. a) Ray BD bisects ABC. Draw a picture.
A
D
5x – 10
B
C
b) ABD =4x + 2 & DBC = 5x – 10. Add this to your diagram, write an
equation and solve for x. Then find the measure of angle ABC.
4x + 2 = 5x – 10
12 = x
ABC = 4x + 2 + 5x – 10
OR ABD = 4x + 2
= 4(12) + 2 + 5(12) – 10
= 4(12) + 2
= 100
= 50
ABC = 2(50)
= 100
6.
9
If 10 is obtuse, what
can you conclude
about 9? It must be
acute
10
7.
8.
7
8
7 is acute; find the restrictions on x.
0 < 2x + 6 < 90
-6 < 2x < 84
-3 < x < 42
8 is obtuse; find the restrictions on x.
90 < 5x – 15 < 180
105 < 5x < 195
21 < x < 39