1. A line segment has as one endpoint and as its midpoint. Find the other endpoint of the line…

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.