Review 1/1-3
Quiz Prob. 1 – 3:
Complete review problems: pg. 61 prob. 7 – 9.
Draw each of the following:
a. a ray with endpoint P passing through point R.
b. lines AB and CD intersecting at point E.
Quiz Prob. 4 – 5:
Complete review problems: pg. 60 prob. 4 – 6.
Quiz Prob. 6 – 9:
Complete review problems: pg. 61 prob. 10, 11.
Using the picture from page 61, find HJ, KL, JK, and HL
Quiz Prob. 10:
Complete review problems: pg. 61 prob. 13.
Complete the following problem:
S is between R and T. RS = 6x – 5, ST = 3x, and RT = 4x + 5.
Draw and label a picture. Solve an equation for x, then find RS and RT.
Quiz Prob. 11:
Complete review problems: pg. 61 prob. 14, 15.
Quiz Prob. 12 – 15:
Complete review problems: pg. 61 prob. 16. (<XYV, <XYZ, <ZYW, <VYZ)
Quiz Prob. 16:
Complete the following problems:
a. L is in the interior of <SPT. m<SPL = 5x – 13, m<LPT = 3x + 12, and m<SPT = 95.
Draw and label a picture. Solve an equation for x, then find m<SPL and m<LPT.
b. N is in the interior of <JPS. m<JPS = 7x + 7, m<JPN = 2x + 5 and m<NPS = 22°
Draw and label a picture. Solve an equation for x, then find m<JPS and m<JPN.
Quiz Prob. 17:
Complete review problems: pg. 61 prob. 18.
Complete the following problem:
KM bisects <JKF. m<JKF = 12x – 16 and m<JKM = 3x + 16. Solve an equation for x, then
find m<JKF and m<JKM.
Answers:
Pg. 61 prob. 7 – 9: 7.
9.
8.
a.
Q
P
D
R
P
B
P
C
b.
A
D
C
E
B
C
Pg. 60 prob. 4 – 6: 4. A, F, G, E
5. BC
6. S
Pg. 61 prob. 10, 11: 10. 3.5
HJ = 2.5
11. 5
KL = 1
JK = 2.5
Pg. 61 prob. 13: PR = 22
R
HL = 6
x = 2, RS = 7, RT = 13
S
Pg. 61 prob. 14, 15: 14. TU = 13, UV = 13, TV = 26
T
15. DE = 18, EF = 18, DF = 36
Pg. 61 prob. 16: 16. <XYV is right, <XYZ is acute, <ZYW is acute, <VYZ is obtuse
a.
5x – 13 + 3x + 12 = 95
b. J
S
x = 12
L
N
m<SPL = 47°
m<LPT = 48°
P
P
T
S
pg. 61 prob. 18: 6x – 12 = 4x + 8
J
M
K
2x + 5 + 22 = 7x + 7
x=4
m<JPS = 35°
m<JPN = 13°
F
x = 10
m<MNQ = 96°
12x – 16 = 2(3x + 16)
x=8
m<JKF = 80°
m<JPN = 40°