Geometry
Ch. 5: Relationships w/in Triangles
Quiz Review: 5.4-5.5
Name: ___________________________________________________
Date: ____________________________________________________
Part I: In the figure, P is the centroid ABC, and BP = 8.
̅̅̅̅ . ______________________
1. Find the length of 𝐵𝐹
̅̅̅̅ . _______________________
2. Find the length of 𝐹𝑃
Part II: Pont S is the centroid of PQR. Use the given information to find the value of x.
3. QS = 3x + 5 and QT = 4x + 11
x = _____________________
4. VS = 3x – 2 and VP = 7x + 4
x = _____________________
5. RS = 4x + 1 and SU = 3x – 4
x = _____________________
Part III: List unknown angles of sides in order from smallest to largest.
6.
7.
8.
Sides: ________; ________; ________
Sides: ________; ________; ________
Angles: ________; ________; ________
Part III: Circle YES or NO. Is it possible to have a triangle with the given side lengths.
9.) 8, 9, 15
10. 4, 7, 13
YES
NO
YES
NO
Part IV: Describe possible lengths of the third side of the triangle given the lengths of the other two
sides.
11. 5 inches, 6 inches
12. 14 feet, 21 feet
Part IV: Copy and complete the statement with <, > or =.
13.
PR ________ VT
14. m<1 __________ m<2
Part V: Multiple Choice
15. The point of concurrency of the three angle bisectors of a triangle is called the __________________ of the
triangle?
a. orthocenter
b. incenter
c. centroid
d. circumcenter
16. Where does a centroid of any triangle always fall?
a. Outside
b. Inside
c. On a vertex
17. What are the angles of the triangle listed from least to greatest?
d. On a side