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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 ) .
2
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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
2
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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
5
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:
Pg : 148
........................ = ................ =
6
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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
01
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:m-y-
11
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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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16
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07
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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)