Segment and Angle Addition Postulates Maze
Name: _________________________________ Date: _________________ Period: _____
Start:
1
2
T, U, and V are
collinear. Suppose
U is between T and
V and that the
following is true:
𝑇𝑈 = 7𝑥 − 4,
𝑈𝑉 = 6𝑥 + 10, and
𝑇𝑉 = 45.
Find 𝑇𝑈.
18
(4𝑥)°
𝐿
𝑀
𝑃
𝑚∠𝐿𝑀𝑁 = _____°
28
30
60
𝐸𝐹 = 3𝑥. 𝐹𝐺 is
three times as long
as 𝐸𝐹. 𝐸𝐺 is 72.
Find 𝐹𝐺.
𝑂
𝑁
17
3
𝐸
𝐹
29
𝐺
54
4
5
6
𝑊𝑍 = 32, 𝑌𝑍 = 6,
and 𝑋 is the
midpoint of 𝑊𝑌.
Angles 𝐴 and 𝐵 are
complementary.
𝑚∠𝑋𝑊𝑍 = _____°
19
𝑊
𝑋
𝑌
𝑍
𝑚∠𝐴 = 𝑥 − 4 °
𝑚∠𝐵 = (2𝑥 + 7)°
Find 𝑊𝑋.
𝑋
25
𝑌
𝑊
𝑥 = _____
𝑍
65
13
76
57
117
7
8
9
𝑄𝑅 = 7
𝑄𝑆 =23
Find 𝑅𝑆.
𝑚∠𝑅𝑆𝑈 = 76°.
𝑚∠𝑅𝑆𝑇 = _____°
Find 𝐽𝐾.
7
𝑄
𝑅
47
𝑅
𝐽
𝑇
𝑆
16
𝑆
10
9
25
22
End!
11
Let 𝑚∠𝐾𝐼𝐽 ≅ 𝑚∠𝐽𝐼𝐻,
𝑚∠𝐽𝐼𝐻 = (4𝑥 + 3)°,
and 𝑚∠K𝐼𝐻 = (12x)°.
𝐶
(13𝑥 − 20)°
𝐴
𝐵
5𝑥 + 2
𝐾
𝐿
10𝑥 + 7
𝑈
18
19
9𝑥 − 11
(7𝑥)°
𝑚∠𝐴𝐵𝐶 = _____°
110
𝐷
𝑚∠𝐾𝐼𝐻 = _____°
𝐾
𝐼
𝐽
𝐻
©Julie Casola, 2016
Segment and Angle Addition Postulates Recording Sheet
Directions: In the appropriate space below, show all your thinking for each question in the maze. For
example, place all you work for question 1 in the maze in the box labeled “1.”
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
©Julie Casola, 2016