Question 2

ABCD is a parallelogram with A(-2; -6), B(4; 0), C(-1; 0) and D(x ; y) as shown below.

2.1 Calculate the length of BC. (2)

2.2 Determine the gradient of AB. (2)

2.3 Determine the equation of CD. (3)

2.4 Determine the coordinates of M, the midpoint of BD. (3)

2.5 Hence or otherwise, determine the values of x and y. (3)

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