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Geometry test on Chapter 5

Total questions: 30

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

When you draw the perpendicular bisectors of a triangle, they meet at a point called the _____________.

a)

Centroid

b)

Incenter

c)

Circumcenter

d)

Orthocenter

2.

When you draw the angle bisectors of a triangle, they meet at a point that is called the _____________.

a)

Centroid

b)

Incenter

c)

Circumcenter

d)

Orthocenter

3.

 EJ \overrightarrow{EJ}\   bisects  DEF\angle DEF  mDEJ=5x+7m\angle DEJ=5x+7  ,  mJEF=8x8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

4.

Find m∠JKM

a)

6

b)

48

c)

20

d)

38

5.
Find the value of x.
a)
x = 4
b)
x = 12
c)
x = 16
d)
x = 2
6.

Perpendicular Bisector

a)

The point at which three or more lines intersect

b)

Three or more lines that intersect at one point

c)

A segment, ray, or line that intersects a given segment at a 90 degree angle and passes through the given segment's midpoint

d)

The point of concurrency of the medians

7.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
8.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
9.

What does an angle bisector do?

a)

Makes two 90 degree angles

b)

splits a 90 degree angle in half

c)

splits an angle into two congruent angles

d)

splits 2 sides in half

10.

Could you create a triangle with these side lengths?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

11.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

c)

I don't know

12.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
13.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
14.

Which of the following does NOT represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

15.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

d)

can't tell

16.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

d)

can't tell

17.

The longest side of a triangle would be located where on a triangle?

a)

Opposite from the smallest angle

b)

Opposite from the largest angle

c)

Cannot tell.

d)

Adjacent to the smallest side.

18.

The smallest angle would be located where in a triangle?

a)

Opposite from the smallest side.

b)

Opposite from the largest side

c)

Cannot tell

d)

In the corner

19.
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
20.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
21.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
22.
Order the sides from least to greatest. 
a)
DE, VE, DV
b)
VE, DE, DV
c)
DV, VE, DE
d)
DE, DV, VE
23.

List the lengths of the sides of the triangle in order from smallest to largest. Hint: draw a diagram

a)

JK < JL < KL

b)

JL < KL < JK

c)

JK < KL < JL

d)

KL < JL < JK

24.

List one angle less than the measure of <1. Write the number only.

(a)  

25.
Which of the following can be the lengths of the sides of a triangle?
a)
12, 9, 2
b)
11, 12, 23
c)
2, 3, 4
d)
6, 10, 20
26.
Find the range of possible values for the third side of this triangle?
a)
9 < x < 12
b)
x > 3
c)
x < 21
d)
3 < x < 21
27.
m∠A=6x+3, m∠B=7x-2, and m∠C=16x+5. What is the shortest side of △ABC
a)
AC
b)
AB
c)
BC
d)
It's equilateral
28.

If mCAD=24°m\angle CAD=24\degree  ,  CD=13CD=13  , and  BC=13, BC=13,\   find  mCABm\angle CAB  

a)

 12°12\degree  

b)

 24°24\degree  

c)

 78°78\degree  

d)

 6°6\degree  

29.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

30.

Find AC.

a)

AC = 5

b)

AC = 3

c)

AC = 27

d)

AC = 10