Chapter 5 Homework Answers for Geometry
5.1
Question Answer
1.
perpendicular bisector
2.
95.4
3.
25.9
4.
52
5.
21.9
6.
24°
9.
y-1=x+2
12.
8.25
13.
26.5
15.
1.3
31.
5.3
Question Answer
2.
altitude
3.
4.
5.
6.
7.
12.
(4, 2)
13.
14.
8.7
15.
5.8
27.
28.
34.
36.
41.
N
D
5.4
Question Answer
1.
midpoints
2.
3.
4.
11.2
5.
6.
7.
8.
9.
29°
29°
151°
10.
18.
19.
20.
21.
22.
23.
24.
25.
26.
39.
34
17
The perimeter of △ GHJ is twice the perimeter of △KLM.
36
26.5
8
21
4
5
D
5.5
Question Answer
Possible answer: To prove something indirectly, you assume the opposite of
what you are trying to prove. Then you use logic to lead to a contradiction of
1.
given information, a definition, a postulate, or a previously proven theorem. You
can then conclude that the assumption was false and the original statement is
true.
2.
3.
4.
5.
6.
7.
8.
Yes; the sum of each pair of 2 lengths is greater than the third length.
9.
10.
11.
12.
13.
greater than 4 mm and less than 20 mm
greater than 0 ft and less than 32 ft
14.
15a.
greater than 0.6 cm and less than 23.4 cm
the path from the refrigerator to the stove
15b.
18.
19.
∠J, ∠L, ∠K
30.
31.
5.7
Question Answer
2.
3.
4.
17
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
19.
20.
16; yes; the 3 side lengths are nonzero whole numbers that satisfy the equation
a2 + b2 = c2.
0.8; no; the 3 side lengths are not whole numbers.
triangle; acute
triangle; obtuse
triangle; right
not a triangle
triangle; acute
triangle; obtuse
6; no; 2.5 and 6.5 are not whole numbers.
25; yes; the 3 side lengths are nonzero whole numbers that satisfy the equation
a2 + b2 = c2.
21.
22.
23.
24.
30.
triangle; acute
not a triangle
triangle; obtuse
31.
32.
38.
perimeter: 40 units; area: 60 square units
5.8
Question Answer
1.
2.
3.
5.
9
6.
7.
9.
10.
8
13.
14.
15.
17.
18.
19.
20.
21.
30.
C