warm up solve each proportion
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Warm UpSolve each proportion.
b30
39
=1. 5635
y5
=2.
412
p9
=3. 56m
2826
=4.
b = 10 y = 8
p = 3 m = 52
CRCT PrepWhich inequality matches this problem? Vicki budgeted $195 for clothes. She
bought shoes for $54. Jeans cost $38 per pair. How many pairs of jeans can she buy and stay within her budget?
a. 38w-54 195b. 38w-54 195c. 38w+54 195d. 38w+54 195
CRCT PrepWhich inequality matches this problem? Vicki budgeted $195 for clothes. She
bought shoes for $54. Jeans cost $38 per pair. How many pairs of jeans can she buy and stay within her budget?
a. 38w-54 195b. 38w-54 195c. 38w+54 195d. 38w+54 195
Segments Cut by Parallel Lines
M8G1. Students will understand and apply the properties of parallel and perpendicular lines and understand the meaning of congruence.
c. Understand the properties of ratios of segments of parallel lines cut by one or more transversals.
Segments Cut by Parallel Lines
When I draw a transversal through parallel lines, what are the special segment relationships that occur?
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional.
a
b
c
T
V
W
X
Y
Z
810
15x
10 = 815 x
10 x = 15 810x = 12010 10x = 12
TV = XYVW YZ
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional.
a
b
c
T
V
W
X
Y
Z
109
27x
9 = 1027 x
9 x = 27 109x = 2709 9x = 30
TV = XYVW YZ
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional.
a
b
c
T
V
W
X
Y
Z
12x
1216
x = 1212 16
16 x = 12 1216x = 14416 16
x = 9
TV = XYVW YZ
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional.
a
b
c
T
V
W
X
Y
Z
x5
12.510
5 = x12.5 10
12.5 x = 5 1012.5x = 5012.5 12.5
x = 4
TV = XYVW YZ
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional.
a
b
c
T
V
W
X
Y
Z
7 = x21 27
21 x = 7 2721x = 18921 21
x = 9
7 x
TW = 21XZ = 27
TV = XYTW XZ
Lesson QuizIn the figure below, two parallel lines are cut by transversals.
Find AC if AB=9, DE=12 and EF=16.
D
A E
B
F
C
9 = 12X 28
12 x = 9 2812x = 25212 12
x = 21
AB = DEAC DF
Segments Cut by Parallel Lines
When I draw a transversal through parallel lines, what are the special segment relationships that occur?
The length of segments formed by two non-parallel transversals cutting parallel lines is proportional to the distances of the parallel lines from the intersection of the transversals.
Journal (Date)
How can I find the length of segments of parallel lines cut by transversals?
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