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Geometry Ch.5 Review

Total questions: 24

Worksheet time: 44mins

Name
Class
Date
1.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
2.
If D is the orthocenter, what type of segments are drawn?
a)
medians
b)
altitudes
c)
angle bisectors
d)
perpendicular bisectors
3.

What type of special segments are being used?

a)

Altitudes

b)

Perpendicular Bisectors

c)

Medians

d)

Angle Bisectors

4.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

5.
13. Which line is an angle bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
6.
14. Which line is a perpendicular bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
7.
Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
8.
Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
9.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
10.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
11.

The circumcenter always lies inside the triangle

a)

True

b)

False

12.

The perpendicular bisector always goes through a vertex

a)

True

b)

False

13.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
14.

Find the length of BC

a)

60

b)

10

c)

30

d)

20

15.

In ΔABD, EC is the perpendicular bisector. If m<ECB = 4x + 2, DB = 3x + 14, DE = 2x – 3, and EC = 3x – 57 find the length of CD.

a)

22

b)

80

c)

40

d)

17

16.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
17.
20.  Triangle ABC has a median of BE where Y is the centroid.  BE = 30, find the length of BY and YE in that order
a)
15 and 45
b)
45 and 15
c)
10 and 20
d)
20 and 10
18.
Triangle ABC has a median of AD where the centroid is labeled Y.  If AY = 18, find the length of YD and AD in that order.
a)
6 and 12
b)
9 and 27
c)
36 and 54
d)
18 and 36
19.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
20.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
21.

Which side is the largest side in the triangle?

a)

MQ

b)

PQ

c)

PM

d)

Cannot be determined

22.
Can a triangle be formed with side lengths:
4, 7, 10
a)
yes
b)
no
c)
not enough information
23.
Can a triangle be formed with side lengths:
17, 9, 30
a)
yes
b)
no
c)
not enough information
24.

Fill in the blank with the missing information: GF ___ EF

a)

<

b)

>

c)

=

d)

cannot be determined