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Coordinate Geometry
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Created by
Alero
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Cards (11)
What are the coordinates of point C?
(c,
2
)
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What are the coordinates of point D?
(
6
, d)
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What is the equation of the perpendicular bisector of CD?
y + 4x =
11
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How do you find the gradient of line segment CD?
Difference in y
over
difference in x
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What is the gradient of line segment CD if the perpendicular bisector has a gradient of 4?
-4
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What equation is formed from the gradient of CD?
4d
-
8
=
6
-
c
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What is the second equation formed for c and d?
c + 4d =
14
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What is the equation for the midpoint of CD?
\(\frac{2 + d}{2} =
11
\)
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What is the equation derived from the midpoint condition?
4c + d = -4
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What are the final values of c and d?
c =
-2
, d =
4
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What are the steps to find c and d given the coordinates and the perpendicular bisector?
Identify coordinates of points C and D.
Use the equation of the perpendicular bisector.
Calculate the
gradient
of CD.
Form equations based on the gradient.
Solve the equations for c and d.
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