Coordinate Geometry for 2014

8/21/2019 Coordinate Geometry for 2014

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:1 )

( ( 4 , 2(2

( ( 3 , 0( 1 , 2 )( 3 , 5 )(3

( ( 0 , 0( 7 , 2 )( - 4 , - 4 )4 )

a ( 4 , 2 ) and ( 7 , 6 )e( 6 , 2 ) and ( 6 , 7

4102coordinategeometry

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EFGH (5 ( 0 , 1 )E( 3 , 2 )F( 2 , 1 )G

H ( 1 , 2 ).EFGH

6)( 3 , 2 )( 6 , 6 ) .

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7:03 | The Midpoint of an Interval : page 144-145-146

A) A is (2 , 4) , B is ( 6 , 10 )

n) A is ( - 8 , - 6 ) , B is ( 0 , 0 )

p) A is ( - 2 , - 6 ) , B is ( 4 , 2 )

q) A is ( - 1 , 0 ) , B is ( 5 , 4 )

k) ( 7 , 1 ) , ( 2 , 5 )

2012/122Al Tamauz Model School

Mathematic Department ( Work sheet ) Grade : 9

.............:Section.............................:Name

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( 5 ) page 147 :

i Find the

midpoint of AC.

Ii Find the midpoint of BD.

iii Are the answers for i and ii the same ?

iv What property of a parallelogram does this result demonstrate ?

( 6 ) page 437 :

a If the midpoint of ( 3 , k) and ( 13 , 6 ) is ( 8 , 3 ) , find the value of k.

b If the midpoint of ( c , d) and ( 10 , 2 ) is ( 8 , 5 ) , find the value of c and d.

.A C

.B D

.iii

.

( 8 , 3 )( 3 , k ),( 13 , 6 )k.

( 8 , 5 )( c , d ),( 10 , 2 )cd

2012/2011121Al Tamauz ModelSchool

Mathematic Department ( Work sheet )Grade : 9

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c If the midpoint of ( x, 1 ) and ( 7 , y) is ( 9 , 6), find the value of x and y.

e) The midpoint of AB is ( 7 , 3 ). Find the value of d and e if A is the point ( d, 0 ) and B is ( 1 , e).

f The midpoint of AB is ( 6 , 2). If A is the point ( 4 , 4 ) , what are the coordinates of B ?

( 9 , 6 )( x , 1 ),( 7 , y )xy

( 7 , - 3 )( d , 0 )A,( - 1 , e )Bde

( - 6 , 2 )A B( 4 , 4 )A B

( 3 , 4 )A B ( - 1, 6 )A B

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:

Pg : 148

........................ = ................ =

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:AB, CDABCD

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Pg : 154

m =

(x1 , y1 ) ,B (x2 , y2 )A

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:

A)1)BC , AD

2) AB , CD

3 )ABCD

B):ABCD:A ( 2,3 ) , B ( 9, 5 ) , C ( 4, 0 ) , D ( -3 , -2 )

1)A,B

2 )B , D

3)A , C

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bm

Y = 3 x + 5

Y = - X + 2

Y = 65 x

Y = x + 1

Y = 2 x

bmY = 5 x -3

27

14

03

-90

Y = 9

10-5

Ybm:y = m X + b

mby

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:m-y-

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6) m,b

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:1 AB2)( C

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Pg : 159

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Pg: 162 Solve Simple quadratic equations

Of the form ax2 + b = c

Solve these equations

2)) 2x

2

- 1 = 491)) x

2

+ 1 = 10

3)) - 3 x2 + 11 = 2 4)) x

2 + 1 = 7

5)) 3x2 - 5 = 10 6)) 2x

2 - 1 = 49

7)) 3 x2 - 30 = -3 8)) x

2+ 5 = 1

9)) 2x2 + 3 = -4 10)) x

2 +7 = 2

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Pg : 164 ( The Parabola))7:08(

1):y = x23210-1-2-3x

y

2(:y = 2 x23210-1-2-3x

y


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:c.........) (

()a

........................y =

2) :c )b )a)

:y = a x2 + c

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:solve the following equation::

::Y = x2 - 1

: :+.

Y = 1 - x2 ( )

Y = x2+1 ( )

Y = 2 x2

( )

Y = - x2-1 ( )

Y = x2+ 3 ( )

Y = - x2 ( )

12 :Al TamyZ Model SchoolMathematic Department ( Quiz ) Grade : 9/

3210-1-2-3x

Y

1)) 4x2 +1 = 9 2)) x

2 - 5 = 11

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:::Y = a x2+ C

C......... ) (

x , Y , C Y = a X2 + Ca

......................

:(y = a x2+ c):

::

X2 + 1 = 72) 2X

2 + 13 = 91)

Coordinate Geometry for 2014

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