Geo_Book_Answers

Answers to Exercises
1. equilateral triangles.
2. regular hexagons.
3.
4.
5. Answers will vary.
6. Answers will vary.
7. sample design:
LESSON 7.7
8. False; they must bisect each other in a
parallelogram.
92 ANSWERS TO EXERCISES
9. true
10. true
11. False; it could be a kite or an isosceles
trapezoid.
12. The path would be 1
4 of Earth’s circumference,
approximately 6280 miles, which will take
126 hours, or around 5 1
4 days.
13a. Using the Reflection Line Conjecture, the
line of reflection is the perpendicular bisector of
AAand BB. Because these segments are both
perpendicular to the reflection line, they are
parallel to each other. Note that if AB is parallel to
the reflection line, quadrilateral AABB will be a
rectangle instead of a trapezoid.
13b. Yes; it has reflectional symmetry, so legs and
base angles are congruent.
13c. greatest: near each of the acute vertices;
least: at the intersection of the diagonals (where A,
C, and B become collinear and A,C,and B
become collinear)
14a.
?
?
3 5 6
6 0
1
0
14b. 13 30
?
2
8 3
12
4
8
9
0
7
2
?
? 5
1 10
108 9
?
?
28 15
?
29
50