1. Chapter 11 Geometry
Homework Answers

2. Sec 11.1 A B
see diagram
No; the corresponding angles are congruent but the corresponding sides are not proportional (see diagram).
Yes; the corresponding angles are congruent, and the corresponding sides are proportional.
x = 6 cm, y = 3.5 cm
z = 10⅔ cm
Yes, the corresponding angles are congruent. Yes, the corresponding sides are proportional. Yes ΔAED ê ΔABC.
m = 9/2 cm, n = 9/4 cm 36 bc
d/c

3. Sec 11.2 6 cm h = 40 cm, k = 40 cm m = 28 cm n = 54 cm, s = 42 cm
No, 37/30 ≠ 35/28
Yes, ΔMOY ê ΔNOT by SAS
Yes, ΔPHY ê ΔYHT because YH = 12 and 20/15 = 16/12 = 12/9 (SSS). Yes, ΔPTY is a right angle because 20² + 15² = 25².
ΔTMR ê ΔTHM ê ΔMHR by AA. x ≈ 15.1 cm, y ≈ 52.9 cm, h ≈ 28.2 cm
Yes, ‹QTA ê ‹TUR and ‹QAT ê ‹ARU. ΔQTA ê ΔQUR by AA. e = 6⅔ cm
f = 24 cm, g = 40 cm
p = 52 cm, q = 42 cm
r = 13 cm, s = 20 cm
t = 28 cm, s = 120 cm
w = 20, x = 21
x = 50, y = 9

4. Sec 11.3
16 m
4 ft 3 in.
5⅓ m
10.92 m
5.46 m
90 m; ‹R and ‹O are both angles and ‹P is the same angle in both triangles, so ΔPRE ê ΔPOC by AA.
300 cm; see page 584 for sketch
see diagram
The triangles are similar by AA (see explanation).
ΔMUN ê ΔMSA by AA. x = 31⅔
ΔBDC ê ΔAEC by AA. y = 63
ΔGHF ê ΔFHK ê Δ GFK by AA. h = 18 & 6/13, x = 7 & 9/13, y = 44 & 4/13 5⅔ a
b or 3.12²

5. Sec 11.4 18 cm 12 cm CL = 21 cm, CS = 20 cm 15 cm 2.0 cm
area of ΔARM = 126 cm², ΔLEG = 504 cm²
16 cm
60 cm
4 & 4/9 cm
a/b = p/q, a/p = b/q
6√3 cm
6 cm
x = 8⅔ cm, y = (5√13)/3 cm
i. a = 40°, b = 50°, c = 40°
ii. a = 60°, b = 30°, c = 60°
iii. a = 22°, b = 68°, c = 22°

6. Sec 11.5 18 cm ² 18 a = 5, b = 10 27π cm² 1/49 ⅓ m²/n² or (m/n)²
The ratio of the volumes is 1/27. The ratio of the surface areas is 1/9.
1715 cm³
H = 16 cm, h = 4 cm. Volume of large cone = 768π cm³ ≈ cm³. Volume of the small cone = 12π cm³ ≈ 37.7 cm³. Ratio of volumes is 64:1.
h/H = 3/5. Volume of large to volume of small = 125/27. Volume of large prism = 1500 cm³
1944π ft³ ≈ ft³; (H/24)³ = 64/27; 32 ft
125/27 ⅖ ⅔
16/3, 20/3

7. Sec 11.6 5 cm 33⅓ cm 45 cm 21 cm 28 cm no yes m = 6 cm, n = 4.5 cm
yes; no; no
yes; yes; yes
a = 3√2 cm, b = 6√2 cm
2064π cm³ ≈ 6484 cm³
x ≈ 4.6 cm, y ≈ 3.4 cm
x ≈ 9.8 yd, y ≈ 8.7 yd, z ≈ 6.5 yd
343/729

8. Ch 11 Review
x = 24
x = 66
x = +/- 6
x = 17
w = 6 cm, x = 4.5 cm, y = 7.5 cm, z = 3 cm
x = 4⅙ cm, y = 7½ cm
13 ft 2 in.
It would still be a 20° angle.
15 m
4 gal; 8 times
See explanation
9/49
5/4
$266.67
640π cm³
w = 32, x = 24, y = 40, z = 126