Geometry
Chapter 5 Quiz
MULTIPLE CHOICE worth
2 points each
Name ______________________
Date: ______________ Period ______
Matching worth 1 point each
Free response graded like
normal (3, 4, or 6 points)
CIRCLE THE CORRECT ANSWER.
MUST SHOW ALL WORK FOR FULL CREDIT!
Section 1: Midsegments of Triangles –MULTIPLE CHOICE
B. Find the value of x.
a) 30
b) 15
c) 10
d) 20
P. Find the length of the midsegment. (The diagram is not to scale.)
47
56
a) 46
b) 0
4x + 2
56
47
c) 42
4x + 44
A.
d) 10
Points B, D, and F are midpoints of the sides of
EC =24 and DF = 15 and
EA= 42.. Find the perimeter of FBD . (The diagram is not to scale.)
A
a) 48
B
F
b) 79
c) 96
C
E
D
d) 69
Section 2: Bisectors in Triangles –MULTIPLE CHOICE
B. Find the value of x.
a) 27
b) 7
c) 25
d) 11
P. If RL= 54 cm, what is the measure of RD?
a) 81 cm
b) 108 cm
c) 162 cm
d) 216 cm
A.
Using the figure from “Part P” above, if WL = 3x + 1 and WJ = 6x-9, find the value of x.
a) 5
b) 0
c) -7
d) 7
Section 3: Concurrent Lines, Medians, and Altitudes –MATCHING
Match each picture of a triangle to the word that best describes segment AB.
_____1. Median
a.
b.
_____2. Perpendicular Bisector
_____3. Angle Bisector
c.
_____4. Altitude
_____5. Midsegment
d.
e.
Section 4: Points of Concurrency – MATCHING
Match the definition to the word.
_____ 1. The point of concurrency of the medians
A. incenter
_____ 2. The point of concurrency of the angle bisectors
B. circumcenter
_____3. The point of concurrency of the perpendicular bisectors
C. centroid
_____ 4. The point of concurrency of the altitudes of a triangle
D. orthocenter
Section 5: Points of Concurrency – MULTIPLE CHOICE
B. The park officials want to place a drinking fountain so that it is
equidistant from the tennis court, the playground, and the volleyball
court. Which point of concurrency do they need to find?
a. orthocenter
b. incenter
c. circumcenter
d. centroid
P. Find and label the center of the circle that you can circumscribe about ABC.
Label the point D.
A (-3, 6), B(-3, -2), C(7, 6)
A.
Y is the centroid of ΔTUV. If TU=16 and TY= 18. Find TX and YW.
TX = ___________
YW = __________