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Geometry Quarter 2 Review

Total questions: 58

Worksheet time: 10hrs 40mins

Name
Class
Date
1.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

2.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

3.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

4.

Charlotte has drawn a triangle with angles of 60°, 60° and 60°.


What type of triangle has she drawn?

a)

Isosceles

b)

Right-angled

c)

Scalene

d)

Equilateral

5.

Daniel has drawn a triangle with sides of length 5cm, 5cm and 8cm.


What type of triangle has he drawn?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

6.

What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Right angled

d)

Obtuse

7.
If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.
a)
sides
b)
vertices
c)
angles
d)
measures
8.
If an isosceles triangle has a base angle measuring 40°, then what measure is the vertex angle?
a)
120°
b)
100°
c)
40°
d)
80°
9.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

10.
Solve for x.
a)
12
b)
7
c)
11
d)
10
11.
Solve for x.
a)
12
b)
7
c)
11
d)
10
12.
Solve for x.
a)
55
b)
52
c)
65
d)
41
13.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
14.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
15.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
16.
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
17.
Where would the largest angle of a triangle be located?
a)
Across from the longest side.
b)
Across from the shortest side
c)
I need more information to get an answer.
18.
Where would the shortest side of a triangle be located?
a)
Across from the smallest angle in the triangle.
b)
Across from the largest angle in the triangle?
c)
Cannot tell.
19.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
20.
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.
21.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
22.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
23.
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
24.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
25.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
26.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
27.
Can the sides of a triangle have lengths 4, 11, and 13?
a)
Yes
b)
No
28.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
29.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
30.
Which of these is a valid congruency statement for these 2 triangles?
a)
∆PTW ≅ ∆HGD
b)
∆PWT ≅ ∆GDH
c)
 ∠G ≅ ∠P
d)
∠D ≅ ∠H
31.
What is the length of segment BM?
a)
8m
b)
15m
c)
11m
d)
32°
32.
What is the measure of angle X?
a)
112°
b)
132°
c)
122°
d)
29°
33.
What does SSS stand for?
a)
Small Small Small
b)
Side Side Side
c)
Small Side Small
d)
Sam's Silly Side
34.
What does SSS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
35.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
36.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
37.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
38.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
SSS
d)
Not Possible
39.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
40.
Are the two triangles congruent?
a)
Not enough information
b)
Yes, by SSA
c)
Yes by AAS
d)
Yes By ASA
41.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
42.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
43.

Given the two triangles, which congruence statement is NOT true?

a)

AB DFAB\ \cong\ DF

b)

DE ACDE\ \cong\ AC

c)

Δ ABC ΔDFE\Delta\ ABC\ \cong\ \Delta DFE

d)

ΔABC Δ DEF\Delta ABC\ \cong\Delta\ DEF

44.

Given the two triangles, which statement is true by CPCTC?

a)

 ACB   DFE\angle ACB\ \cong\ \angle\ DFE  

b)

  BAC   FDE\angle\ BAC\ \cong\ \angle\ FDE  

c)

 CAB FED\angle CAB\ \cong\angle FED  

d)

 ABC   DEF\angle ABC\ \cong\ \angle\ DEF  

45.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
46.
∆PRQ≅∆SRT
a)
TRUE
b)
FALSE
47.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
48.
What type of angle is shown?
a)
a 90 degree angle
b)
a 180 degree angle
c)
an acute degree angle
d)
an obtuse angle
49.
What do the angles in an equilateral triangle measure?
a)
30, 60, 90
b)
45, 45, 90
c)
60, 60, 60
d)
35, 55, 90
50.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

51.
What is the measure of the missing angle?
a)
82
b)
43
c)
55
d)
180
52.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
53.
Solve for x.
a)
16
b)
11
c)
50
d)
6
54.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
55.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
56.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
57.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees
58.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees