partitioning line segments in 2 dimensions · pdf filepartitioning line segments in 2...

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N a m e :

Unit 6 - C o n n e c t i n g A l g e b r a a n d G e o m e t r y Though Coord inates Homework - Day 70

Date :

Partitioning Line Segments in 2 Dimensions Homework

MCC9-12.G.GPE.6 Find t h e po int o n a d i r e c t e d line s e g m e n t b e t w e e n t w o g iven points that part it ions t h e segment in a g iven rat io.

1. G i v e n t h e po in t s 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 o f t h e p o i n t P o n d i r e c t e d l ine

s e g m e n t AB t h a t pa r t i t ions AB in t h e r a t i o 1:3.

2. G i v e n t h e po in t s A ( -2 , 4) a n d B(7, -2) , f i n d t h e c o o r d i n a t e s o f t h e p o i n t P o n d i r e c t e d l ine

s e g m e n t AB t h a t par t i t ions AB in t h e r a t i o 1:2.

3. G i v e n t h e po in t s A( -3 , -4) a n d B(5, 0) , f i n d t h e c o o r d i n a t e s o f t h e p o i n t P o n d i r e c t e d l ine

s e g m e n t AB t h a t par t i t ions AB in t h e r a t i o 2:3.

4. The m a p shows a s t ra ight h i g h w a y b e t w e e n t w o t o w n s . H i g h w a y p l a n n e r s w a n t t o b u i l d t w o n e w rest s tops b e t w e e n t h e t o w n s so t h a t t h e t w o rest s tops d i v i d e d t h e h i g h w a y in to t h r e e e q u a l pa r t s . F ind t h e c o o r d i n a t e s of t h e po in t s a t w h i c h t h e rest s tops shou ld b e bui l t .

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

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C C C A Unit 6 - C o n n e c t i n g A l g e b r a a n d G e o m e t r y Though Coord inates H o m e w o r k - Day 70

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

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5. Luis works a t a t h e a t e r o n 8 th A v e n u e a n d 20th St reet. K a l e b lives a t t h e c o r n e r of 18th A v e n u e a n d 4 th St reet . W h a t is a poss ib le l o c a t i o n t h a t is m i d w a y b e t w e e n t h e m ?

6. N i m a lives a t t h e c o r n e r of 4 th A v e n u e a n d 4 th St reet. Bill l ives a t t h e c o r n e r of 10th A v e n u e a n d 6 th St reet . Their f a v o r i t e b a k e r y is l o c a t e d m i d w a y b e t w e e n t h e m . W h a t is o n e poss ib le of t h e b a k e r y ?

7. C l e v e ' s C o o k i e Store is l o c a t e d a t t h e c o r n e r o f 2 n d A v e n u e a n d 9 th St reet . D a v e ' s D o o r k n o b s is l o c a t e d a t t h e c o r n e r of 12th A v e n u e a n d 14th St reet . L o c a t e d 1 IS o f t h e d i s t a n c e f r o m C l e v e ' s C o o k i e Store is t h e pos t o f f i c e . W h e r e is t h e pos t o f f i c e ?

8. Ma l i k a n d B rad b o t h l ive o n 3 rd A v e n u e . Ma l i k lives a t t h e c o r n e r o f 1st St reet, a n d B rad lives a t t h e c o r n e r o f 19th St reet . 2/3 t h e d i s t a n c e f r o m Mal ik ' s a p a r t m e n t t o Brad's a p a r t m e n t is a m a r k e t . W h e r e is t h e m a r k e t ?

9. The m a i n e n t r a n c e t o t h e h i g h s c h o o l is l o c a t e d a t t h e c o r n e r of 17th A v e n u e a n d 19th St reet. O n his w a y f r o m s c h o o l t o t h e b a n k , Luis stops a t t h e c o f f e e s h o p l o c a t e d a t 12th A v e n u e a n d 15th St reet . The c o f f e e s h o p is t h e m i d p o i n t o f this t r ip . W h a t is t h e l o c a t i o n of t h e b a n k ?

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

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Name:

Unit 6 - C o n n e c t i n g A l g e b r a a n d G e o m e t r y Though Coord inates Homework - Day 70

Date :

Partitioning Line Segments in 2 Dimensions Homework

MCC9-12.G.GPE.6 Find t h e po int o n a d i r e c t e d line s e g m e n t b e t w e e n t w o g iven points t h a t part i t ions t h e segment in a g iven rat io.

G i v e n t h e po in t s 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 o f t h e p o i n t P o n d i r e c t e d l ine

s e g m e n t AB t h a t par t i t ions AB in t h e r a t i o 1:3.

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G i v e n t h e po in t s A ( -2 , 4) a n d B(7, -2) , f i n d t h e c o o r d i n a t e s o f t h e p o i n t P o n d i r e c t e d l ine

s e g m e n t AB t h a t par t i t ions AB in t h e r a t i o 1:2.

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3. G i v e n t h e po in t s A ( - 3 , -4) a n d B(5, 0) , f i n d t h e c o o r d i n a t e s o f t h e p o i n t P o n d i r e c t e d l ine

s e g m e n t AB t h a t par t i t ions AB in t h e r a t i o 2:3.

4. The m a p shows a s t ra ight h i g h w a y b e t w e e n t w o t o w n s . H i g h w a y p l a n n e r s w a n t t o b u i l d t w o n e w rest s tops b e t w e e n t h e t o w n s so t h a t t h e t w o rest s tops d i v i d e d t h e h i g h w a y in to

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t h r e e e q u a l par t s . F ind t h e c o o r d i n a t e s o f t h e po in t s a t w h i c h ^ t h e rest s tops s h o u l d b e bui l t . .

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

C C C A Unit 6 - C o n n e c t i n g A l g e b r a a n d G e o m e t r y Though Coord inates Homework - Day 70

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

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5. Luis works a t a t h e a t e r o n 8 th A v e n u e a n d 20th St reet . K a l e b lives a t t h e c o r n e r of 18th A v e n u e a n d 4 th St reet . W h a t is a poss ib le l o c a t i o n t h a t is m i d w a y b e t w e e n t h e m ?

6. N i m a lives a t t h e c o r n e r o f 4 th A v e n u e a n d 4 th St reet. Bill l ives a t t h e c o r n e r o f 10th A v e n u e a n d 6 th St reet. Their f a v o r i t e b a k e r y is l o c a t e d m i d w a y b e t w e e n t h e m . W h a t is o n e poss ib le o f t h e b a k e r y ?

CI,*) y^^eu^si-7. C l e v e ' s C o o k i e S tore is l o c a t e d a t t h e c o r n e r o f 2 n d A v e n u e a n d 9 th St reet. D a v e ' s

D o o r k n o b s is l o c a t e d a t t h e c o r n e r of 12th A v e n u e a n d 14th St reet . L o c a t e d 115 o f t h e d i s t a n c e f r o m C l e v e ' s C o o k i e Store is t h e pos t o f f i c e . W h e r e is t h e pos t o f f i c e ?

C%to) ^A/eil^ Sh 8. Ma l i k a n d B rad b o t h l ive o n 3 rd A v e n u e . Ma l i k lives a t t h e c o r n e r o f 1 st St reet, a n d B rad

lives a t t h e c o r n e r o f 19th St reet . 2/3 t h e d i s t a n c e f r o m Mal ik ' s a p a r t m e n t t o Brad's a p a r t m e n t is a m a r k e t . W h e r e is t h e m a r k e t ?

(3,13) rJM \udsi-9. The m a i n e n t r a n c e t o t h e h i g h s c h o o l is l o c a t e d a t t h e c o r n e r o f 17th A v e n u e a n d 19th

St reet. O n his w a y f r o m s c h o o l t o t h e b a n k , Luis stops a t t h e c o f f e e s h o p l o c a t e d a t 12th A v e n u e a n d 15th St reet . The c o f f e e s h o p is t h e m i d p o i n t o f this t r ip . W h a t is t h e l o c a t i o n of t h e b a n k ? i j ,

an) l'A Uf* si Problems #5-9Adapted from: Walch Education Resources: CCGPS Coordinate Algebra Teacher Resource Binder