Analytical Geometry Worksheet

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Worksheet 4: Analytical Geometry
Grade 11 Mathematics
1.
Given the points A (-11; 6), B (
) , C (
) , D (
) , E (
) and F (
) ,
determine the gradient between:
a)
point A and point B
b)
point A and point C
(R)
c)
point A and point D
d)
point A and point E
(R)
e)
point A and point F
f)
point B and point C
(R)
g)
point B and point D
h)
point B and point E
(R)
i)
point B and point F
j)
point C and point D
(R)
2.
In question 1, which lines are parallel to each other and which lines are perpendicular to each
other?
(C)
3.
Given the points A (-11; 6), B (
) , C (
) , D (
) , E (
) and F (
) ,
determine the equation of the straight line between:
a)
point C and point E
b)
point C and point F
(R)
c)
point D and point E
d)
point D and point F
(R)
e)
point E and point F
f)
point A and point B
(R)
g)
point A and point E
h)
point A and point F
(R)
i)
point B and point E
j)
point C and point D
(R)
k)
Which three points lie on the same line?
(C)
4.
Determine the equation of the line passing through the point:
a)
) and parallel to
(R)
(
b)
) and parallel to
(R)
(
c)
) and perpendicular to
(R)
(
d)
) and parallel to
(C)
(
e)
) and perpendicular to
(C)
(
f)
) and perpendicular to
(C)
(

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