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Geometry Review Triangle Centers Ch.6

Total questions: 25

Worksheet time: 34mins

Name
Class
Date
1.

A segment connecting the midpoints of two sides of a triangle is ______________ and ________________ as long as the third side.

a)

perpendicular; half

b)

parallel; half

c)

parallel; twice

d)

perpendicular; one third

2.
Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)
a)
y = -5/6x + 7/2
b)
y = 6/5x + 9/2
c)
y = 6/5x + 7/2
d)
y = 6/5x + 4
3.

Write an equation for the median of Triangle ABC drawn from point A:

a)
y = -5/6x + 7/2
b)

y−3=−12(x−2)y-3=-\frac{1}{2}\left(x-2\right)

c)

y−3=35(x−2)y-3=\frac{3}{5}\left(x-2\right)

d)

y−6=−53(x−7)y-6=-\frac{5}{3}\left(x-7\right)

4.

G is the centroid of ΔABC, CG = 4x - 6, and FG = x +1, find the measure of CF.

a)

12

b)

10

c)

15

d)

Not Enough Information

5.

If you were trying to find the point that was equidistant from your house and two of your friend's houses, which should you find?

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

6.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

7.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
8.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
9.

Will these side lengths be able to form a triangle?

a)

yes

b)

no

c)

Not enough information

10.

What is the value of x

a)

0<x<15

b)

15< x< 45

c)

3< x< 15

d)

x = 45

11.

Suppose the side lengths of a triangle are x, 4x - 2, and 2x + 1. What is the range of all possible values of x?

a)

0.2<x<3

b)

1<x<3

c)

0.2<x<1

d)

3<x<5

12.

Given the diagram, list the angles from smallest to largest

a)

∠R, ∠P, ∠Q

b)

∠R, ∠Q, ∠P

c)

∠Q, ∠P, ∠R

d)

∠P, ∠R, ∠Q

13.
Which set of numbers represents the lengths of the sides of a triangle?
a)
{5,18,13}
b)
{6,17,22}
c)
{16,24,7}
d)
{26,8,15}
14.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to 
d)
Half of
15.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
16.

Solve for the value of x.

a)

x = 10

b)

x = 20

c)

x = 3

d)

x = 45

17.

Find the measure of ∠NJZ\angle NJZ  

a)

38

b)

90

c)

52

d)

128

18.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
19.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
20.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
21.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
22.

Arrange the sides from smallest to largest

a)

AB

b)

BC

c)

AC

d)

CD

e)

AD

1)
2)
3)
4)
5)
23.

If point P is the circumcenter, which segment is congruent to PB?

a)

DA

b)

AC

c)

PC

d)

PF

24.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
25.
Find the measure of angle SUR
a)
55 degrees
b)
125 degrees
c)
180 degrees
d)
not enough information

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