Name the type of triangle formed by the points A(-5, 6), B(-4, 2) and C(7, 5).

2

(a)

Find the value of m if the points (5, 1), (-2, -3) and (8, 2m) are collinear.

2

(a)

The points A(2, 9), B(a, 5) and C(5, 5) Are the vertices of \(\triangle ABC\) right angled at B. Find the value of a and hence the area of \(\triangle ABC\).

2

(a)

Name the type of triangle PQR formed by the points \(P(\sqrt { 2 } ,\sqrt { 2 } ),Q(-\sqrt { 2 } ,-\sqrt { 2 } )\) and \(R(-\sqrt { 6 } ,\sqrt { 6 } )\)

2

(a)

Show that \(\Delta \)ABC with vertices A(-2, 0), B(0, 2) and C(2,0) is similar to \(\Delta \)DFE with vertices D(- 4, 0), E(4, 0) and F(0, 4).

2

(a)

Find the area of a triangle with vertices (a, b +c), (b, c + a) and (c, a + b).

2

(a)

Check, whether the points (-4, 0), (4, 0) and (0, 3) are the vertices of an isosceles triangle or equilateral triangle.

2

(a)

Show that the points A (-6, 10), B(-4, 6) and C(3, -8) are collinear, such that \(AB=\frac { 2 }{ 9 } AC\) .

2

(a)

Find the angle subtended by these points \(P\left( \sqrt { 2 } ,\sqrt { 2 } \right) ,Q(-\sqrt { 2 } ,-\sqrt { 2 } )\text {and} R(-\sqrt { 6 } ,\sqrt { 6 } ).\)

2

(a)

Find the perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0).
[Hint The perimeter of a triangle is the sum of lengths of its three sides, so first find the length of three sides and then add them.]

2

(a)