wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

GeoC Unit 6 Test Review- centers of circles & inequalities of tr

Total questions: 95

Worksheet time: 49mins

Name
Class
Date
1.

The turkey holding the Guiness Book of World Records record weight, weighed in at...

a)

86 pounds

b)

63 pounds

c)

107 pounds

d)

43 pounds

2.

Where three or more lines, rays, or segments intersect at the same point

a)

Concurrent

b)

Equidistant

c)

Circumcenter

3.

The point of concurrency of the three perpendicular bisectors of the sides of a triangle

a)

Incenter

b)

Concurrent

c)

Equidistant

d)

Orthocenter

e)

Circumcenter

4.

What is Altitude?

a)

The point of concurrency of the perpendicular bisectors of a triangle

b)

The point of concurrency of the medians of a triangle

c)

When a point is the same distance from two figures

d)

Perpendicular segment from the vertex of a triangle to the opposite side

e)

The segment connecting 2 midpoints

5.

Which giant balloon in the Macy’s Thanksgiving Day Parade has appeared the most?

a)

Sponge Bob

b)

Snoopy

c)

Thanksgiving Turkey

d)

Santa Claus

6.

What is Centriod

a)

Perpendicular segment from the vertex of a triangle to the opposite side

b)

The point of concurrency of the medians of a triangle

c)

When a point is the same distance from two figures

d)

Segment from the vertex of a triangle to the midpoint of the opposite side

e)

The point of concurrency of the angle bisectors of a triangle

7.

Name the segment/line/ray shown.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

8.

Name the segment/line/ray shown.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

9.

The name December comes from the Latin decem for “ten”, as it was the 10th month in the Roman Calendar.

a)

True

b)

False

10.

The three perpendicular bisectors of a triangle intersect at the

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

11.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)

14

d)

18

e)

Not Enough Information

12.
The image show which point of concurrency
a)
circumcenter
b)
centroid
c)
incenter
d)
orthocenter
13.

If you were born on the fifth of December, what would your astrological sign be?

a)

Sagittarius

b)

Scorpio

c)

Capricorn

d)

Aquarius

14.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)

Maybe

15.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
16.

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

a)
Yes
b)
No
17.

What is the birthstone for December?

a)

Garnet

b)

Amethyst

c)

Turquoise

d)

Citrine

e)

Sapphire

18.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
19.
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
20.
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
21.

How tall is the current world record holding snowman?

a)

10 feet

b)

25 feet

c)

125 feet

d)

315 feet

22.
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
23.

Which helicopter is closer to the BASE?

a)

Helicopter 2

b)

Helicopter 1

24.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
25.

When does winter officially begin?

a)

January 1st

b)

December 1st

c)

December 21st

d)

December 31st

26.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
27.
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
28.
Given: AM is the median,
AB=4x-6, BM=2x-2 , MC=3x-14 , CA=5x-20 . Find the value of x.
a)
x = 12
b)
x = 2
c)
x = 14
d)
x = -8
29.

Which U.S. state records the most snow fall each year?

a)

Montana

b)

Washington

c)

New York

d)

Wisconsin

30.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

31.

If S is the incenter, what type of segments are drawn?

a)

medians

b)

angle bisectors

c)

perpendicular bisectors

32.

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

33.

What happened on December 7, 1941?

a)

Mrs. Crews was born.

b)

The US entered World War Two

c)

The first man landed on the moon

d)

The world's first self-sustaining, controlled nuclear chain reaction took place

34.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
35.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
36.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
37.

In Home Alone, where are the McCallisters going on vacation when they leave Kevin behind?

a)

Paris

b)

London

c)

New York

d)

Sydney

38.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
39.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
40.
Name the parallel segment.
a)
WY
b)
YX
c)
WX
d)
PN
41.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
42.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

43.

Does the sides 8, 9, 10 make a triangle?

a)

yes

b)

no

44.

The lengths of two sides are given 9 & 2. What are the possible length of the third side? Between what two numbers

a)

Between 0 and 2

b)

Between 2 and 9

c)

Between 7 and 11

45.

Which of the following statements must be true?

a)

RS > XY

b)

RS < XY

c)

ST < XZ

d)

∠T >∠Z\angle T\ >\angle Z

46.

How many nights is the celebration of Hanukkah?

a)

5

b)

6

c)

7

d)

8

47.

Which country started the tradition of putting up a Christmas tree?

a)

England

b)

France

c)

Germany

d)

Spain

48.

When did Charlie Brown Christmas premiere?

a)

December 9, 1959

b)

December 9, 1965

c)

December 9, 1968

d)

December 9, 1975

49.

Normally, a year contains 365 days. Which day does Christmas usually fall on?

a)

340

b)

350

c)

359

d)

360

50.

In the movie Elf, what is an elf's four main food groups?

a)

Candy, candy canes, candy corn and syrup

b)

Candy, pasta, syrup and candy canes

c)

Candy, coke, pasta and candy corn

d)

Candy, spaghetti, syrup and candy corn

51.

What Christmas decoration is actually a parasitic plant?

a)

Poinsettia

b)

Holly

c)

Wreath

d)

Mistletoe

52.

How many gifts in total were given in “The Twelve Days of Christmas” song?

a)

276

b)

364

c)

396

d)

412

53.

What country does the poinsettia plant originate from?

a)

Poland

b)

Mexico

c)

United States

d)

Germany

54.

On what day does Kwanzaa begin?

a)

December 1

b)

December 15

c)

December 25

d)

December 26

55.

Diwali is a Hindu celebration known as...

a)

The Fesitval of Gifts

b)

The Festival of Lights

c)

The Festival of the Gods

d)

The Festival of Sweets

56.

What was the first state to recognize Christmas as a national holiday?

a)

Alabama

b)

Delaware

c)

Georgia

d)

New York

57.

What historic event happened on December 17, 1903?

a)

Mr. Hackett was born.

b)

The Wright Brothers first flew

c)

The Civil War ended

58.

Which President was the first to celebrate Hanukkah in The White House?

a)

Jimmy Carter

b)

Ronald Reagan

c)

FDR

d)

Harry Truman

59.

The colors of Kwanzaa are a reflection of the Pan-African movement representing “unity” for peoples of African descent worldwide. What are those colors?

a)

Red, Gold, Green

b)

Red, White, Blue

c)

Red, Green, Black

d)

Green, Red, White

60.

Finish the lyric: You're a monster, Mr. Grinch! Your heart's an empty hole, Your brain is full of ________________, You've got garlic in your soul Mr. Grinch! I wouldn't touch you with a 39 1/2 foot pole!

a)

spiders

b)

garlic

c)

unwashed socks

d)

termites

61.

In the movie "Elf", what is an elf's four main food groups?

a)

Candy, pasta, syrup, and candy canes

b)

Candy, soda, candy corn, and syrup

c)

Candy Canes, candy corn, sugar, and syrup

d)

Candy, candy canes, candy corn, and syrup

62.

What is the best selling Christmas Song of all time?

a)

All I want for Christmas is You by Mariah Carey

b)

Rudolph the Red-Nosed Reindeer by Gene Autry

c)

Mistletoe by Justin Bieber

d)

White Christmas by Bing Crosby

63.

What is the name of the Grinch's dog?

a)

Snoopy

b)

Pluto

c)

Max

d)

Sam

64.

In the movie Polar Express, what is the first gift of Christmas?

a)

Candy Cane

b)

Hot Chocolate

c)

Golden Ticket

d)

Bell from Santa's sleigh

65.

In Rudolph the Red-Nosed Reindeer, which elf wanted to be a dentist?

a)

Hermey

b)

Buddy

c)

Janet

d)

Jingle Jangle

66.

What is the coldest temperature ever recorded on Earth?

a)

-110 degrees Fahrenheit

b)

-128 degrees Fahrenheit

c)

-136 degrees Fahrenheit

d)

-150 degrees Fahrenheit

67.
Which of these companies was the first to use Santa Claus in an advertisement?
a)
Pepsi
b)
Coca-Cola
c)
7-up
d)
Starbucks
68.
What is the name of the town where the Grinch stole Christmas?
a)
Ashville
b)
Centerville
c)
Who Ville
d)
Nashville
69.

What is Taylor Swift's middle name?

a)

Andrea

b)

Alison

c)

Addison

d)

August

70.

What’s the name of the main villain in The Nightmare Before Christmas?

a)

Sally

b)

Big Witch

c)

Jack Skelilngton

d)

Oogie Boogie

71.

What holiday is celebrated on December 26th in Canada

a)

Boxing Day

b)

Bagging Day

c)

Wrapping Day

d)

Festivus Day

72.

The Famous New Years Eve Ball is dropped in what location on New Years Eve.

a)

Times Square

b)

Madison Square Gardens

c)

The White House

d)

The Sydney Opera House

73.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
74.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
75.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to 
d)
Half of
76.

Which is the range of values of "x" for the triangle shown?

a)

10<x<1210<x<12  

b)

15<x<1715<x<17  

c)

5<x<175<x<17  

d)

7<x<277<x<27  

77.

It is called the HINGE theorem, because...

a)

the vertex of the angle acts like a hinge to open the triangle.

b)

it's named after Joseph Hinge, the man who discovered it.

c)

"hinge" is the Spanish word for angle.

d)

the triangle makes a hinge shape, like a tent.

78.
Which of the following is a possible  length for segment AC
a)
10
b)
15
c)
17
d)
9
79.

Is AC or DF longer?

a)

AC

b)

DF

80.

Who is closer to the airport?

a)

You

b)

Your friend

81.

Which plane is closer to Simpson City?

a)

Plane 2

b)

Plane 1

82.
Using the hinge theorem, we can say that AB _____ DC
a)
Greater than
b)
Less than
c)
Equal to
d)
Half of 
83.
Two sides of each triangle in the circle are formed
from the radii of the circle. Compare EF and FG.
a)
EF = FG
b)
EF < FG
c)
EF > FG
d)
Not enough information is given.
84.
The dotted line represents a ?...
a)
median
b)
centroid
c)
midsegment
d)
midpoint
85.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
86.

What is the point of concurrency of angle bisectors?

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

87.
These lines are.....
y = 4x
x+4y=12
a)
Parallel
b)
Perpendicular
c)
Neither
88.
Slopes of perpendicular lines are...
a)
negative reciprocals
b)
opposites
c)
identical
d)
flipped
89.
Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)
a)
y = x - 4
b)
y = x + 4
c)
y = 1/2x -4
d)
y = x + 2
90.
Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)
a)
y = 2x + 4
b)
y = 2x + 6
c)
y = -2x + 6
d)
y = 2x - 6
91.
1.  PQ  is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
92.

Find the measure of angle CAD.

a)
b)
c)
d)
93.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

94.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

95.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

Similar Resources on Wayground

IIT-JEE & NEET LEVEL-3 (9-T)

100 questions

IIT-JEE & NEET LEVEL-3 (9-T)

quiz

Worksheet

•

9th Grade

Rotated Triangles, The Adjacent Side

97 questions

Rotated Triangles, The Adjacent Side

quiz

Worksheet

•

9th - 12th Grade

Fast EOC Algebra Review

100 questions

Fast EOC Algebra Review

quiz

Worksheet

•

8th - 9th Grade

PRECALCULUS -- AP EXAM REView

96 questions

PRECALCULUS -- AP EXAM REView

quiz

Worksheet

•

11th Grade - University

Precal Final Exam Review

95 questions

Precal Final Exam Review

quiz

Worksheet

•

11th Grade

2023 EOC Practice

100 questions

2023 EOC Practice

quiz

Worksheet

•

9th - 12th Grade

Algebra Unit 1 & 2 Test Review

91 questions

Algebra Unit 1 & 2 Test Review

quiz

Worksheet

•

8th - 9th Grade

Parallel lines cut by a transversal

97 questions

Parallel lines cut by a transversal

quiz

Worksheet

•

12th Grade