[Exercise- Page 146]
E.6.1. Plot the points A(2,2), B(10,1), C(11,9) and D(3,10) on a graph paper. Draw the lines AB, BC, CD and AD. What type of quadrilateral do you get? Give reasons.
Solution:
E.6.2. Three points have coordinates A(-2,1), B(10,6) and C(a,-6). If AB = BC, find the possible values of ‘a’. For each possible value of ‘a’, find the corresponding area of the triangle ABC.
Solution:
E.6.3. Find the equation of a straight line with gradient -2 that passes through the point (4,-5).
Solution:
E.6.4. Find the equation of a straight line that passes through the points A(3,-3) and B(4,-2). What is the gradient of the straight line?
Solution:
E.6.5. Plot the points A(2,2), B(10,1), C(11,9) and D(3,10) on the graph paper and draw the lines AB, BC, CD, AD. What kind of area is formed by these lines? Give reason in favour of your answer.
Solution:
E.6.6. The coordinates of three points are A(-2,1), B(10,6) and C(a,-6). If AB = BC, then determine the possible values of a. Find the area of triangle ABC formed for each value of a.
Solution:
E.6.7. The coordinates of four points are A(-1,1), B(2,-1), C(0,3) and D(3,3). Determine the area of the quadrilateral formed by the points.
Solution:
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