1. The ____________ is the location where three or more lines intersect.

2. The ________ is the point of concurrency of the medians of a triangle.

3. The ________ is the point of concurrency of the perpendicular bisectors of a triangle.

4. The ________ is the point of concurrency of the altitudes of a triangle.

5. The ________ is the point of concurrency of the angle bisectors of a triangle.

6. Find the value of x. x 45

7. A
BC is a midsegment. If AB = 2x - 27 and BD = x + 15, What is the length of AD? E B C D

8. E H F G J FH is a midsegment. EFH = x + 63 and EGJ = 2x-19,
What is the
value of x? E G F H J

9. LM is a midsegment. What is the length of LM?
x + 85 M
3x + 46

10. MP is a midsegment. What is the value of x?Q

11. AE = 42. Find the length of AO and EO.

12. BO = 18.4. Find the length of BF and FO.

13. DO = 5.5. Find the length of CD and CO.

14. BO = 4x + 4 and FO = 16, find the value of x.

15. AE = 6x + 3 and AO = 36. Find the value of x.

16. XY = 4x – 15 and ZY = 17 – 4x. Find the value of x.

17. DC is a perpendicular bisector
DC is a perpendicular bisector. If PCA = 7x + 13, what is the value of x?

18. D is the midpoint of AB and CE is the perpendicular bisector of DB.
DE = 18 and EB = 18. What is the length of AB?

19. CD is the angle bisector of ACB. If
ACD = 5x – 22 & BCD = x, find the value of ACB.

20. Find the value of x.
6x + 3
7x - 3

21. Can the following lengths form a triangle? Explain.
5 cm, 10 cm 11 cm

22. Can the following lengths form a triangle? Explain.
17 cm, 19 cm 36 cm

23. Order the angles of the triangle from smallest to largest.K
20 cm
14 cm L M
26 cm

24. Order the angles of the triangle from smallest to largest.6x H J 4x

25. Order the sides of the triangle from smallest to largest80 F E