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Geometry Concepts - Chapter 6 Review

Total questions: 38

Worksheet time: 3hrs 10mins

Name
Class
Date
1.
Which of the following describes a median of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees. 
2.
AD = 12. Find AG
a)
6
b)
8
c)
18
d)
12
3.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
4.
BE = 15. Find EG.
a)
10
b)
5
c)
22.5
d)
20
5.
a)

9

b)

10

c)

8

d)

12

6.
a)

4

b)

1

c)

5

d)

7

7.
a)

4

b)

6

c)

12

d)

8

8.
a)

17

b)

27

c)

57

d)

23

9.

If an altitude of a triangle lies on the triangle, what type of triangle is it?

a)

Acute

b)

Right

c)

Obtuse

d)

Equiangular

10.
10. What type of lines are shown
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
11.

What kind of triangle will you get with sides that are 12,16, and 20

a)

Acute

b)

Obtuse

c)

Right

d)

No Triangle

12.

What kind of triangle will you get with sides that are 9,12, and 18

a)

Acute

b)

Obtuse

c)

Right

d)

No Triangle

13.

What kind of triangle will you get with sides that are 15,20, and 25

a)

Acute

b)

Obtuse

c)

Right

d)

No Triangle

14.

What kind of triangle will you get with sides that are 8,10, and 12

a)

Acute

b)

Obtuse

c)

Right

d)

No Triangle

15.
A triangle's angles add up to...
a)
90 Degrees
b)
180 Degrees
c)
360 Degrees
d)
OVER 9000 Degrees
16.
What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
17.
What is the measure of angle 2?
a)
50
b)
65
c)
115
18.
Find x
a)
60
b)
48
c)
30
d)
28
19.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
20.
Find x
a)
90
b)
45
c)
22
d)
35
21.
What do the angles in an equilateral triangle measure?
a)
30, 60, 90
b)
60, 60, 60
c)
45, 45, 90
d)
35, 55, 90
22.
Find the value of x
a)
41
b)
45
c)
31
d)
98
23.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
24.
9. A segment from the vertex of a triangle to the opp. side that splits the angle into 2 equal angles.
a)
incenter
b)
angle bisector
c)
perpendicular bisector
d)
circumcenter
25.
12. what type of lines are shown:
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
medians
26.
13. Which line is an angle bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
27.

Angle JHG measures 161.

a)

m∠GHK=80.5,

m∠KHJ=161

b)

m∠GHK=161,

m∠KHJ=80.5

c)

m∠GHK=80.5,

m∠KHJ=80.5

d)

m∠GHK=161,

m∠KHJ=161

28.
If ray OR is the angle bisector of ∠POQ, and m∠POR = 38°, what is the m∠POQ?
a)
19°
b)
38°
c)
62°
d)
76°
29.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
30.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
31.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
32.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

33.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
34.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
35.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
36.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
37.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
38.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03