Segment and Angle Addition Postulates Maze Start

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)

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©Julie Casola, 2016