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2D Geometry - Test Review

Total questions: 50

Worksheet time: 2hrs 14mins

Name
Class
Date
1.
What is the relationship between the triangles?
a)
Similar
b)
Congruent
c)
Neither
2.

What is the relationship between these two triangles?

a)

Similar

b)

Congruent

c)

Neither similar nor congruent

d)

Both similar and congruent

3.

If ΔCAE ≅ ΔBDE is true, then which of the following is false?

a)

∠CEA ≅ ∠BED

b)

∠AEC ≅ ∠EBD

c)

AC ≅ DB

d)

EB ≅ EC

4.

These triangles are...

a)

Congruent by SAS

b)

Congruent by ASA

c)

Congruent by AAS

d)

None of these

5.

These triangles must be congruent by...

a)

SSS

b)

SAS

c)

ASA

d)

Are not congruent

6.

Which of the following cannot be used to prove triangles congruent?

a)

Angle, Side, Angle

b)

Angle, Side, Side

c)

Side, Side, Side

d)

Side, Angle, Side

7.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
8.
Sides in similar figures must be proportional.  
a)
True
b)
False 
9.
Two shapes that are similar are also congruent
a)
True
b)
False
10.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
11.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
12.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
13.
Which statement is the congruence statement for the 2 triangles?
a)
∆EFG ≅ ∆MLF
b)
∆EFG ≅ ∆MFL
c)
∆EGF ≅ ∆FML
d)
∆GEF ≅ ∆FML
14.
Use the congruence statement and figure to find the missing part of the statement
a)
FS
b)
SR
c)
RF
d)
DF
15.
Use the congruence statement and figure to find the missing part of the statement
a)
∠U
b)
∠RUT
c)
∠UTR
d)
∠R
16.

Use the Triangle Sum Theorem to find the measure of angle C in degrees.

a)

59°

b)

30°

c)

41°

d)

54°

17.
Find the measure of  angle x in degrees.
a)
91°
b)
127°
c)
168°
d)
53°
18.
Solve for x.
a)
15
b)
-2
c)
10
d)
1
19.

Challenge! What is the measure of <ACD?

a)

151º

b)

120º

c)

141º

d)

139º

20.
Solve for x.
a)
72
b)
67
c)
65
d)
54
21.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
22.
Find the measure of the missing angle.
a)
154 degrees
b)
26 degrees
c)
180 degrees
d)
64 degrees
23.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
24.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
25.

2x and 10x are two angles that are supplementary. What do the angles measure?

a)

30°,150°

b)

5°,10°

c)

15°, 75°

d)

90°, 180°

26.
Find the value of x. 
a)
16
b)
19
c)
20
d)
18
27.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
28.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
29.

Find the value of x.

a)

20

b)

45

c)

18

d)

Not enough information

30.
Q7) Solve for x.
a)
60
b)
7.75
c)
4
d)
180
31.

Which set of lengths does not form a triangle?

a)

6in, 8in, 10 in

b)

7in, 9in, 15 in

c)

8in, 8in, 8in

d)

9in, 10in, 19in

32.
Select the measurements that match the sides of a triangle.
a)
7, 9, 19
b)
7, 12, 1
c)
7, 7, 7
d)
7, 7, 16
33.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
34.

What is the diameter?

a)

8 cm

b)

16 cm

c)

10 cm

d)

4 cm

35.
What is the circumference of a circle with a diameter of 10 meters?
a)
5 meters
b)
15.7 meters
c)
3.14 meters
d)
31.4 meters
36.
If the circumference of a circle is 22π , what is the diameter?
a)
22 ft
b)
11 ft
c)
π ft
d)
0 ft
37.

If the area of a circle is 25 π in² , then the diameter is?

*Hint* Solve for r first

a)

10 in

b)

5 in

c)

25 in

d)

pi in

38.

What is the area of this circle?

a)

15393.8 mi2

b)

1248.12 mi2

c)

5930.12 mi2

d)

3848.45 mi2

39.
What is the area of the figure?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
40.
Find the Area of the figure:
a)
276
b)
114
c)
247
d)
390 
41.
Area of  the shaded figure: 
a)
350
b)
137.5
c)
212.5
d)
484.2
42.
The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .
a)
284.52 ft2
b)
228 ft2
c)
317 ft2
d)
116.71 ft2
43.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
44.
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
45.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
46.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
47.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
48.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
49.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?
a)
yes
b)
no
50.

What is the distance between the two points?

a)

6.32 units

b)

16.52 units

c)

6 units

d)

16 units

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