1. A line segment

has as one endpoint and as its midpoint. Find the other endpoint of the line

segment in terms of and

2. Use the

result of Exercise 75 to find the coordinates of the endpoint of a line segment

if the coordinates of the other endpoint and midpoint are, respectively, (a)

and (b)

3. Use the

Midpoint Formula three times to find the three points that divide the line

segment joining and into four parts.

4. Use the

result of Exercise 77 to find the points that divide the line segment joining

the given points into four equal parts. (a) (b)

5. MAKE A CONJECTURE Plot the points

1. A line segment

has as one endpoint and as its midpoint. Find the other endpoint of the line

segment in terms of and

2. Use the

result of Exercise 75 to find the coordinates of the endpoint of a line segment

if the coordinates of the other endpoint and midpoint are, respectively, (a)

and (b)

3. Use the

Midpoint Formula three times to find the three points that divide the line

segment joining and into four parts.

4. Use the

result of Exercise 77 to find the points that divide the line segment joining

the given points into four equal parts. (a) (b)

5. MAKE A CONJECTURE Plot the points and on a rectangular coordinate system. Then change

the sign of the -coordinate of each point and plot the three new points on the

same rectangular coordinate system. Make a conjecture about the location of a point

when each of the following occurs.

(a) The sign of the -coordinate is

changed.

(b) The sign of the -coordinate is

changed.

(c) The signs of both the – and

-coordinates are changed.

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