Graphical Representation of Data

1. Determine the quadrant in which (x , y) is located so that x < 0 and y > 0.

2. Determine the quadrant in which (x , y) is located so that - x < 0 and y < 0.

3. Determine the quadrants in which (x , y) is located so that x < -4 .

4. a) Sketch the line segment with endpoints at (-2,3) to (4,7).
b) Find the midpoint of the segment with endpoints at (-2,3) to (4,7).
c) Find the length of segment with endpoints at (-2,3) to (4,7).

5. a) Plot the triangle with vertices at A( 8, 5 ), B( 1, -2 ) and C( -2, 2 ).

b) Show this is a right triangle by :
i) finding the length of each of the three sides and
ii) showing that these three lengths satisfies the Pythagorean Theorem.