In the diagram, A(—2 ; 2), B(—4 ; —6), C(4 ; —2) and E(6 ; y) are the vertices of a quadrilateral having AE || BC. D lies on BC such that AD
BC and AC is drawn. M(x ; 2) is a point on EC.
3.1 Calculate the gradient of BC. (3)
3.2 If M is the midpoint of EC, determine the values of x and y. (3)
3.3 Calculate the length of BC. (2)
3.4 If it is further given that AE=
, to which group of special quadrilaterals does ABCE belong? (1)
3.5 Determine the equation of AD in the form y = mx + c. (3)
3.6 Calculate the coordinates of D. (5)
3.7 Determine the area of AAEC. (3)
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