Geo_Book_Answers

1.
2.
3.
4.
5.
A B
Q D
C D
1
CD
2
Edge of the paper
Original segment
1
CD
2
2AB –
1
CD
2
M N
AB CD
LESSON 3.2
AB AB
1
CD
2
MN =
1
(AB + CD)
2
6. Exercises 1–5 with patty paper:
Exercise 1 This is the same as Investigation 1.
Exercise 2
Step 1 Draw a segment on patty paper. Label it QD .
Step 2 Fold your patty paper so that endpoints Q
and D coincide. Crease along the fold.
Step 3 Unfold and draw a line in the crease.
Step 4 Label the point of intersection A.
Step 5 Fold your patty paper so that endpoints Q
and A coincide. Crease along the fold.
Step 6 Unfold and draw a line in the crease.
Step 7 Label the point of intersection B.
Step 8 Fold your patty paper so that endpoints A
and D coincide. Crease along the fold.
Step 9 Unfold and draw a line in the crease.
Step 10 Label the point of intersection C.
Exercise 3 This is the same as Investigation 1.
Exercise 4
Step 1 Do Investigation 1 to get 1
2 CD.
Step 2 On a second piece of patty paper, trace AB
two times so that the two segments form a segment
of length 2AB.
Step 3 Lay the first piece of patty paper on top of
the second so that the endpoints coincide and the
shorter segment is on top of the longer segment.
Step 4 Trace the rest of the longer segment with a
different colored writing utensil. That will be the
answer.
Exercise 5
Step 1 Trace segments AB and CD so that the two
segments form a segment of length AB CD.
Step 2 Fold your patty paper so that points A and
D coincide. Crease along the fold.
Step 3 Unfold and draw a line in the crease.
7. The perpendicular bisectors all intersect in one
point.
8. The medians all intersect in one point.
C
A
M
I
9. GH appears to be parallel to EF, and its length
is half the length of EF.
G
B
N
D H
E
L
F
L
A
ANSWERS TO EXERCISES 33
Answers to Exercises