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Geometry Midterm review

Total questions: 81

Worksheet time: 41mins

Name
Class
Date
1.

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

a)

Alabama

b)

Delaware

c)

Georgia

d)

New York

2.
State if the triangles are congruent. If they are, state how you know.
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
3.

Inverse of the statement: If p, then q.

a)

If p, then q.

b)

If q, then p.

c)

If ~ p, then ~ q.

d)

If ~ q, then ~ p.

4.

Organize these options into the right categories

Categorize the following

Same-Side Interior

Same-Side Exterior

Linear Pair

Alternate Interior

Alternate Exterior

Vertical Angles

Corresponding Angles

Mrs. Crews

Supplementary
Congruent
Teacher
5.

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

6.

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.


What are the values of x and y?

a)

x = 42 and y = 96

b)

x = 69 and y = 69

c)

x = 90 and y = 48

d)

x = 96 and y = 42

7.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
8.
If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 2, then 2x – 10 = –6.
Statement 2: x = 2 
a)
2x – 10 = –6 
b)
x = 2
c)
 If 2x – 10 = –6, then x = 2
d)
not possible 
9.

What Christmas decoration is actually a parasitic plant?

a)

Poinsettia

b)

Holly

c)

Wreath

d)

Mistletoe

10.
Find the length of DE 
a)
12
b)
11
c)
10
d)
13
11.

Two lines that do not intersect and are not parallel

a)

Perpendicular lines

b)

Transversals

c)

Skew lines

d)

Parallel lines

12.

The point where the three perpendicular bisectors of the sides of a triangle meet

a)

Centroid

b)

Orthocenter

c)

Circumcenter

d)

Incenter

13.

What country does the poinsettia plant originate from?

a)

Poland

b)

Mexico

c)

United States

d)

Germany

14.
What type of triangle is shown?  Complete the statement:  ∠A≅∠_.
a)
Equilateral; C
b)
Isosceles; C
c)
Isosceles; B
d)
Scalene; None
15.

A line segment joining a vertex of a triangle with the opposite side such that the segment is perpendicular to the opposite side

a)

altitude

b)

median

c)

angle bisector

d)

perpendicular bisector

16.

Complete the table with the correct algebraic rule for the reflections.

a)

(x,−y)\left(x,-y\right)

b)

(−x, y)\left(-x,\ y\right)

c)

(y,x)\left(y,x\right)

d)

(−y,−x)\left(-y,-x\right)

1
2
3
4
1)
2)
3)
4)
17.

What is Taylor Swift's middle name?

a)

Andrea

b)

Alison

c)

Addison

d)

August

18.

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

a)

(7,9)

b)

(8,7)

c)

(6,9)

d)

(5,1)

19.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
20.
Describe the transformation in the picture from the black triangle to the blue triangle.
a)
Reflection over the y-axis
b)
Reflection over the x-axis
c)
Reflection over y=x
d)
Reflection over y=-x
21.

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

a)

340

b)

350

c)

359

d)

360

22.
State if the triangles are congruent. If they are, state how you know.
a)
SSS
b)
AAS
c)
AA
d)
Not Congruent
23.
Describe the angle relationship.
a)
Same Side Interior
b)
Corresponding
c)
Alternate Interior
d)
Same Side Exterior
24.

What is the measure of a same-side interior angle if one angle is 30 degrees?

a)

120

b)

150

c)

60

d)

90

25.

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

26.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

27.

If the  m∠7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  ∠2.\angle2.  

a)

115°115\degree  

b)

65°65\degree  

c)

180°180\degree  

d)

Cannot be determined

28.

∠ECD=122°\angle ECD=122\degree  and  ∠BCE=36°\angle BCE=36\degree . Find the measure of  ∠BCD\angle BCD  . 

a)

∠BCD=158°\angle BCD=158\degree  

b)

∠BCD=86°\angle BCD=86\degree  

c)

∠BCD=58°\angle BCD=58\degree  

d)

∠BCD=144°\angle BCD=144\degree  

29.

Given m∠QST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

30.

Reflect (6, -3) over the y-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

31.
Baymax's eyes make a...
a)
Line
b)
Line segment
c)
Ray
d)
Angle
32.

Name the figure using geometric notation.

a)

SR→\overrightarrow{SR}

b)

RS‾\overline{RS}

c)

RS→\overrightarrow{RS}

33.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
34.

The slope of perpendicular lines are:

a)

equal

b)

negative

c)

negative reciprocals

35.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
36.

Rotational Symmetry

a)

360/ # of sides

b)

# of sides/ 360

c)

x + y= z

d)

sinx=cos(90-x)

37.

What is the endpoint of the line segment if the other endpoint is (5, 1) and the midpoint is (3, 3)?

a)

(1, 5)

b)

(3, 3)

c)

(5, 1)

d)

None of the above

38.
What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."
a)
It lives in a zoo.
b)
No counterexample, this is true.
c)
It lives in an aquarium.
d)
It is a monkey
39.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
40.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
41.
Find the measure of <A
a)
25
b)
65
c)
90
d)
23
42.
How are the triangles congruent?
a)
SAS
b)
SSS
c)
AAS
d)
HL
43.
Are the triangles congruent?
a)
Yes
b)
No
44.
How are the triangles congruent?
a)
ASA
b)
AAS
c)
SAS
d)
SSS
45.

"If I have a Siberian Husky, then I have a dog."

Identify the converse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

46.
Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
a)
You have more energy
b)
If you exercise regularly, then you have more energy
c)
You have a healthy body
d)
If you do not have a healthy body, then you do not exercise regularly
47.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
48.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
49.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
50.
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
51.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

52.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

53.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
54.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
55.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
56.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
57.

Find the slope (m) between point A(15, 7) and point B(3, -2).

a)

m=34m=\frac{3}{4}

b)

Slope is undefined

c)

m=−54m=-\frac{5}{4}

d)

m=2m=2

58.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
59.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
60.

Suppose the measure of angle ABC 52 degrees. Find the measures of angles BAC and BCA.

(a)  

61.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

62.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
63.

Given ABCD is a parallelogram, what are the coordinates of point C?

a)

(3c,b)

b)

(a+c,b)

c)

(2a-c,b)

d)

(a+2c,b)

64.
Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3. 
a)
(1,5)
b)
(3,7)
c)
(4,4)
d)
(5,8)
65.

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

66.

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

67.

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

a)

Jimmy Carter

b)

Ronald Reagan

c)

FDR

d)

Harry Truman

68.

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

69.

On what day does Kwanzaa begin?

a)

December 1

b)

December 15

c)

December 25

d)

December 26

70.

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

a)

276

b)

364

c)

396

d)

412

71.

When did Charlie Brown Christmas premiere?

a)

December 9, 1959

b)

December 9, 1965

c)

December 9, 1968

d)

December 9, 1975

72.

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

a)

England

b)

France

c)

Germany

d)

Spain

73.

How many nights is the celebration of Hanukkah?

a)

5

b)

6

c)

7

d)

8

74.

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

75.

What is the name of the Grinch's dog?

a)

Snoopy

b)

Pluto

c)

Max

d)

Sam

76.

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

a)

Hermey

b)

Buddy

c)

Janet

d)

Jingle Jangle

77.
Which of these companies was the first to use Santa Claus in an advertisement?
a)
Pepsi
b)
Coca-Cola
c)
7-up
d)
Starbucks
78.
What is the name of the town where the Grinch stole Christmas?
a)
Ashville
b)
Centerville
c)
Who Ville
d)
Nashville
79.

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

a)

Sally

b)

Big Witch

c)

Jack Skelilngton

d)

Oogie Boogie

80.

What holiday is celebrated on December 26th in Canada

a)

Boxing Day

b)

Bagging Day

c)

Wrapping Day

d)

Festivus Day

81.

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

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