Worksheet 1.2
Find the indicated length.
1. Find 𝑀𝑃
4. Find 𝑋𝑌
Name:
Period:
2. Find 𝑅𝑇
3. Find 𝑈𝑊
5. Find 𝐵𝐶
6. Find 𝐷𝐸
Plot the given points in a coordinate plane. Then determine whether the line segments named are
congruent.
7. 𝐴(0,1), 𝐵(4,1), 𝐶(1,2), 𝐷(1,6)
8. 𝐽(−6, −8), 𝐾(−6,2), 𝐿(−2, −4), 𝑀(−6, −4)
�����and 𝐶𝐷
����
���
����
𝐽𝐾 and 𝐿𝑀
𝐴𝐵
Use the number line to find the indicated distance.
9. 𝐽𝐾
10. 𝐽𝐿
11. 𝐽𝑀
12. 𝐾𝑀
In the diagram, points 𝑉, 𝑊, 𝑋, 𝑌, and 𝑍 are collinear. 𝑉𝑍 = 52, 𝑋𝑍 = 20, and 𝑊𝑋 = 𝑋𝑌 = 𝑌𝑍. Find
the indicated length.
13. 𝑊𝑋
14. 𝑉𝑊
15. 𝑊𝑌
16. 𝑉𝑋
17. 𝑊𝑍
18. 𝑉𝑌
����. Write and equation and solve for 𝑥.
Point 𝑆 is between 𝑅 and 𝑇 on 𝑇𝑅
19. 𝑅𝑆 = 2𝑥 + 10
20. 𝑅𝑆 = 3𝑥 − 16
𝑆𝑇 = 𝑥 − 4
𝑆𝑇 = 4𝑥 − 8
𝑇𝑅 = 21
𝑇𝑅 = 60
21. 𝑅𝑆 = 2𝑥 − 8
𝑆𝑇 = 3𝑥 − 10
𝑇𝑅 = 17
Use the answer you got in 19, 20, and 21 to find 𝑅𝑆 and ST for each problem.
22. 𝑅𝑆 and 𝑆𝑇 from #19
23. 𝑅𝑆 and 𝑆𝑇 from #20
24. 𝑅𝑆 and 𝑆𝑇 from #21
Use the diagram.
25. Write and equation and solve to find 𝑥.
26. Use 𝑥 to find ����
𝐸𝐺 .
27-28. In 2003, a remote-controlled model airplane became the first ever to fly nonstop across the
Atlantic Ocean. The map shows the airplane’s position at three different points during its flight.
27. Find the total distance the model airplane flew.
28. The model airplane’s flight lasted nearly 38 hours. Estimate the airplane’s average speed in
miles per hour.