1. A triangle has vertices at A (1,1), B(-2,-1) and C(3,-2). a. Graph the triangle on the grid. b. Calculate the side lengths to whether the triangle is isosceles, equilateral or scalene. 2. Determine the length of the line segment with each pair of endpoints. a. (2,5) and (7,4) b. (-3,-9) and (5,3)

3. Determine the midpoint of a line segment with endpoints A(10,2) and B(-6,-8).

4. Triangle ABC has vertices at A(-4, 4), B(-4, -2), and C(2, -2)
a. Graph the triangle.
b. Determine the equation of the median from B to BC.
c. Add the median to the graph. d. Is the median from a. also an altitude?

5. A builder needs to connect a partially built house to a temporary power supply. On the plan, the coordinates of the house are (20,110) and the coordinates of the power supple are (105, 82). What is the amount of cable needed?

6. A circle has a diameter with endpoints C(20, -21) and D(-20, 21). Determine the equation of the circle.

7. Show that points A(10,5) and B(2,-11) lie on the circle with equation x2 +y2=125. Also show that the perpendicular bisector of chord AB passes through the centre of the circle. please help