(a) Draw the line \(x = -4\) on the grid below. [1]
(b)C is a point on the grid below so that:
\(B\hat{A}C\) = 90°,
AC = AB.
(i) Show the position of point Con the grid. [2]
(ii) Write down the coordinates of point C. [1]
Mark scheme (a)
Scheme
Marks
Comments
Line \(x = -4\) drawn
B1
Line must be at least 2 units long. B0 if ‘extra’ lines drawn unless correct line unambiguously identified.
Mark scheme (b)
Scheme
Marks
Comments
(i) Point C shown at (−2,−4)
B2
Allow B2 if point C not labelled but is unambiguously at the correct position (eg ‘end of line’). Otherwise, B1 if Point C at (−2,y) y≠3. (BÂC = 90° ) SC1 for point C at (5,−4).
(ii) (−2,−4)
B1
FT ‘their unambiguously identified position of point C’. Allow missing brackets.
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