Section 1.1 Homework

1. The distance between the points (a, b) and (c, d)  is  __________________So the distance between (5, 4) and (9, 7)  is

2  The point midway between (a, b) and (c, d)  is ________________   So the point midway between (5, 2) and (7, 6)  is

3.  Refer to the following figure.

Find the coordinates of the points shown. (Assume that all values are integers.)

A (x,y) =

B (x,y) =

C (x,y) =

D (x,y) =

E (x,y) =

F (x,y) =

G (x,y) =

H (x,y) =

4.  Sketch the region given by the set.{(x, y) | x ≥ 3}

5  Sketch the region given by the set. {(x, y) | −3 < x < 3}

6.  A pair of points is graphed.

(a) Find the distance between them.

(b) Find the midpoint of the segment that joins them.

(x,y) =

7.  A pair of points is graphed.

(a) Find the distance between them.

(b) Find the midpoint of the segment that joins them.

(x,y) =

8.  A pair of points is given.(3, −2), (−4, 5)

9  Find the area of the triangle shown in the figure.

10. If M(9, 4)  is the midpoint of the line segment AB, and if A has coordinates (8, 0), find the coordinates of B.

(x,y) =