Geo_Book_Answers
Geo_Book_Answers
Geo_Book_Answers
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USING YOUR ALGEBRA SKILLS 1<br />
1. (3, 4)<br />
2. (9, 1.5)<br />
3. (5.5, 5.5)<br />
4. (6, 44)<br />
5. Yes. The coordinates of the midpoint of a<br />
segment with endpoints (a, b) and (c, d) are found<br />
a c<br />
by taking the average of the x-coordinates, , 2<br />
b d<br />
and the average of the y-coordinates, .Thus 2 the<br />
a c b d<br />
midpoint is , . 2 2<br />
6. (3, 2) and (6, 4). To get the first point of<br />
trisection, sum the coordinates of points A and B<br />
to get (9, 6), then multiply those coordinates by 1<br />
<br />
3 to<br />
get (3, 2). To get the second point of trisection, sum<br />
the coordinates of points A and B to get (9, 6), then<br />
multiply those coordinates by 2<br />
3 to get (6, 4). This<br />
works because the coordinates of the first point<br />
are (0, 0).<br />
7. Find the midpoint, then find the midpoint of<br />
each half.<br />
8a. Midpoints for Figure 1 are (5.5, 6.5); for<br />
Figure 2, (16, 6.75); and for Figure 3, (29.75, 5.5).<br />
8b. For these figures the midpoints of the two<br />
diagonals are the same point.<br />
ANSWERS TO EXERCISES 9<br />
<strong>Answers</strong> to Exercises