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p 9. 3 9. y 5. 28 26. b 30. 56 35. 4 12. 56 m. =. =. =. =. Warm Up Solve each proportion. 1. 2. b = 10. y = 8. m = 52. 3. 4. p = 3. CRCT Prep. Which inequality matches this problem?
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p 9 3 9 y 5 28 26 b 30 56 35 4 12 56 m = = = = Warm Up Solve each proportion. 1. 2. b = 10 y = 8 m = 52 3. 4. p = 3
CRCT Prep Which 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? • 38w-54 195 • 38w-54 195 • 38w+54 195 • 38w+54 195
CRCT Prep Which 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? • 38w-54 195 • 38w-54 195 • 38w+54 195 • 38w+54 195
Segments Cut by Parallel Lines Standards 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 Essential Questions 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. TV=XY VW YZ T X a 8 10 • 10= 8 • x • 10 x = 15 8 • 10x = 120 • 10 • x = 12 V Y b x 15 W Z c
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional. TV=XY VW YZ T X a 9= 10 27 x 9 x = 27 10 9x = 270 9 9 x = 30 9 10 V Y b x 27 W Z c
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional. TV=XY VW YZ T X a x= 12 12 16 16 x = 12 12 16x = 144 16 16 x = 9 12 x V Y b 16 12 W Z c
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional. TV=XY VW YZ T X a 5= x 12.5 10 12.5 x = 5 10 12.5x = 50 12.5 12.5 x = 4 x 5 V Y b 10 12.5 W Z c
When three parallel lines are cut by transversals, the lengths of the segments formed are proportional. TV=XY TW XZ T X a 7= x 21 27 21 x = 7 27 21x = 189 21 21 x = 9 x 7 V Y b TW = 21 XZ = 27 W Z c
Lesson Quiz AB=DE AC DF In 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=12 X 28 12 x = 9 28 12x = 252 12 12 x = 21
Segments Cut by Parallel Lines Essential Questions 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?