Geo_Book_Answers

1. A
2. B
3. possible answer:
3. possible answer:
5. possible answer:
LESSON 11.1
6. Figure A is similar to Figure C. Possible answer:
If and , then .
7. AL 6; RA 10; RG 4; KN 6
8. No; the corresponding angles are congruent,
but the corresponding sides are not proportional.
9. NY 21; YC 42; CM 27; MB 30
10. Yes; the corresponding angles are congruent,
and the corresponding sides are proportional.
11. x 6 cm, y 3.5 cm
12. z 10 2
A B
B C
A C
3
cm
13. Yes, the corresponding angles are congruent.
Yes, the corresponding sides are proportional.Yes,
AED ABC.
9 9
14. m 2
cm 4.5 cm, n 4 cm 2.25 cm
15. 3
1 ; 9
1
16. Yes, they are similar.
6
4
2
y
y
Y (2, 5)
R (2, 2)
(0, 6)
(1, 1)
5
17. Possible answer: Assuming an arm is about
three times as long as a face, each arm would be
about 260 ft.
18. Possible answer: Not all isosceles triangles are
similar because two isosceles triangles can have
different angle measures. A counterexample is
shown at right. Not all right triangles are similar
because they can have different side ratios, as in a
triangle with side lengths 3, 4, and 5 and a triangle
with side lengths 5, 12, and 13. All isosceles right
triangles are similar because they have angle
measures 45°, 45°, and 90°, and the side lengths have
the ratio 1:1:2.
19. 36 20. bc 21. d
c
22. Possible answers: Jade might get 1825
4475
of the
profits, or $2,773.18, and Omar might get 2650
4475
of
the profits, or $4,026.82. Or they take out their
investments and they divide the remaining $2,325:
Jade, $1825 $1,162.50 $2,987.50; and Omar,
$3,812.50.
23a. 23b.
60°
Y' (6, 15)
R' (6, 6)
(5, 6)
O (6, 2)
(7, 3)
x
O' (18, 6)
24. approximately 92 gallons
x
60°
ANSWERS TO EXERCISES 125
Answers to Exercises