SEIF ATEF
MATHEMATICS
GOALS ARE MADE
TO BE ACHIEVED
EXPECTED
IDEAS
+201004981230 www.practikumeg.com
, coordinate geometry
اﻧﺰل ﻳﺎ ﻣﺘﺪﻟﻊ
properties of 2d shapes in order to know which givens to be used wether
midpoint, distance, gradient or even stairs method
however must make sure equation of line in gradient form
case 1: case 2:
CIRCLES
midpft.am
angle between tangent and angle between radius and
radius is 90 (gradient) chord is 90 (gradient) from
tangent and radius distance for Pythagoras or center to midpoint or
area distance for area or
center and chord Pythagoras
angle in triangle infront of
angle infront of diameter is
diameter
90 (gradient) or distance for
case 3: pythagoras or area
-diagonals are perpendicular (gradient)
-smaller diagonal is bisected (midpoint)
-might mention distance of equal sides
midpoint SIDED SHAPES
-equal sides
-line of symmetry is perpendicular bisector
kite
Ermidpoint -distance for are or Pythagoras triangles
-perpendicular sides
rectangle, square and
parallelograms , trapezium
stairs method need equal parallel sides to find steps on x
and steps on y and need perpendicular line to use gradient
fmidpo.int
, coordinate geometry
2 MQR MPQ
mpQ
x Y
it
MQR f
fa
27 39 12
39 39 9 13
b find Coordinatesofcenter
312,2 5,3
cia
e
D 2 7 2
Point 7,9 9 4
9
83 2
gradients 47 36 9 63
Point 4110
7,0
gradient 2
o
find Coordinate of C
, coordinate geometry
A
Sm p
c
Point 41,7 6,13
gradient 9
MY
12 t
3 39 2
Pyatt Is
b Point 10,0 gradient
0K 4 2 20
to
www rs
Qc
d it C isap
B
BY
Effi
ftp.s.is
is
3 1 551135
dii 40 64 104
PT EE.az 65
do 8 101 40
b Point 435
4
45137 gradient 5
47 205 60
44 5 40
a
Y f4 1
4 0 c i 0
54 10 ii
B 9 10
ABCDiagram
10
f X
d i find CoordofD ii Find Area 8,0 S
MATHEMATICS
GOALS ARE MADE
TO BE ACHIEVED
EXPECTED
IDEAS
+201004981230 www.practikumeg.com
, coordinate geometry
اﻧﺰل ﻳﺎ ﻣﺘﺪﻟﻊ
properties of 2d shapes in order to know which givens to be used wether
midpoint, distance, gradient or even stairs method
however must make sure equation of line in gradient form
case 1: case 2:
CIRCLES
midpft.am
angle between tangent and angle between radius and
radius is 90 (gradient) chord is 90 (gradient) from
tangent and radius distance for Pythagoras or center to midpoint or
area distance for area or
center and chord Pythagoras
angle in triangle infront of
angle infront of diameter is
diameter
90 (gradient) or distance for
case 3: pythagoras or area
-diagonals are perpendicular (gradient)
-smaller diagonal is bisected (midpoint)
-might mention distance of equal sides
midpoint SIDED SHAPES
-equal sides
-line of symmetry is perpendicular bisector
kite
Ermidpoint -distance for are or Pythagoras triangles
-perpendicular sides
rectangle, square and
parallelograms , trapezium
stairs method need equal parallel sides to find steps on x
and steps on y and need perpendicular line to use gradient
fmidpo.int
, coordinate geometry
2 MQR MPQ
mpQ
x Y
it
MQR f
fa
27 39 12
39 39 9 13
b find Coordinatesofcenter
312,2 5,3
cia
e
D 2 7 2
Point 7,9 9 4
9
83 2
gradients 47 36 9 63
Point 4110
7,0
gradient 2
o
find Coordinate of C
, coordinate geometry
A
Sm p
c
Point 41,7 6,13
gradient 9
MY
12 t
3 39 2
Pyatt Is
b Point 10,0 gradient
0K 4 2 20
to
www rs
Qc
d it C isap
B
BY
Effi
ftp.s.is
is
3 1 551135
dii 40 64 104
PT EE.az 65
do 8 101 40
b Point 435
4
45137 gradient 5
47 205 60
44 5 40
a
Y f4 1
4 0 c i 0
54 10 ii
B 9 10
ABCDiagram
10
f X
d i find CoordofD ii Find Area 8,0 S
