Partitioning Line Segments in 2 Dimensions Homework

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Unit 6 - C o n n e c t i n g Algebra a n d Geometry Though Coordinates

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Partitioning Line Segments in 2 Dimensions Homework

Homework - Day 70

MCC9-12.G.GPE.6 Find t h e point o n a d i r e c t e d line segment b e t w e e n t w o given points that partitions the segment in a given ratio.

1. G i v e n t h e points A ( - l , 2) a n d B(7, 14), f i n d t h e c o o r d i n a t e s of t h e p o i n t P o n d i r e c t e d line s e g m e n t AB t h a t p a r t i t i o n s AB in t h e r a t i o 1:3.

2. G i v e n t h e points A(-2, 4) a n d B(7, -2), find t h e c o o r d i n a t e s of t h e p o i n t P o n d i r e c t e d line s e g m e n t AB t h a t p a r t i t i o n s AB in t h e r a t i o 1:2.

3. G i v e n t h e points A(-3, -4) a n d B(5, 0), find t h e c o o r d i n a t e s of t h e point P o n d i r e c t e d line s e g m e n t AB t h a t p a r t i t i o n s AB in t h e r a t i o 2:3.

4. The m a p shows a straight h i g h w a y b e t w e e n t w o towns. Highway planners w a n t t o build t w o n e w rest stops b e t w e e n t h e towns so that t h e t w o rest stops d i v i d e d t h e highway into three e q u a l parts. Find t h e c o o r d i n a t e s of t h e points a t w h i c h t h e rest stops should b e built. 5.- .

Problems #5-9Adapted from: Walch Education Resources: CCGPS Coordinate Algebra Teacher Resource Binder

CCCA

Unit 6 - C o n n e c t i n g Algebra a n d G e o m e t r y Though Coordinates

Use the map and the information given to solve each problem that follows.

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G i v e n t h e points A(-2, 4) a n d B(7, -2), find t h e c o o r d i n a t e s of t h e p o i n t P o n d i r e c t e d line

Ski -y) * v s e g m e n t AB t h a t partitions AB in t h e ratio 1:2.

2

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3. G i v e n t h e points A(-3, -4) a n d B(5, 0), find t h e c o o r d i n a t e s of t h e point P o n d i r e c t e d line s e g m e n t AB t h a t p a r t i t i o n s AB in t h e r a t i o 2:3.

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4. The m a p shows a straight h i g h w a y b e t w e e n t w o towns. H i g h w a y planners w a n t t o build t w o n e w rest stops b e t w e e n t h e towns so that t h e t w o rest stops d i v i d e d t h e h i g h w a y into three e q u a l parts. Find t h e coordinates of t h e points a t which^the rest stops should b e built. .

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Problems #5-9Adapted from: Walch Education Resources: CCGPS Coordinate Algebra Teacher Resource Binder

CCCA

Unit 6 - C o n n e c t i n g Algebra a n d Geometry Though Coordinates

Use the map and the information given to solve each problem that follows.

1 MT l er

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Homework - Day 70

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