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Worksheets

Final Exam Geometry

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

2.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

3.

Which congruency statement can be written for the triangles pictured?

a)

ΔLEOΔOVE\Delta LEO\cong\Delta OVE

b)

ΔOEVΔOLE\Delta OEV\cong\Delta OLE

c)

ΔOVLΔOLV\Delta OVL\cong\Delta OLV

d)

ΔOLEΔOVE\Delta OLE\cong\Delta OVE

4.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

5.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

RT =XZ\overline{RT}\ =\overline{XZ}

b)

RST = XYZ\angle RST\ =\ \angle XYZ

c)

SR =YX\overline{SR}\ =\overline{YX}

6.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

7.

What is the minimum information needed to prove two triangles are congruent using the ASA theorem?

a)

Two angles and the included side

b)

Three sides

c)

Two sides and a non-included angle

d)

Two angles and a non-included side

8.

Which triangle congruence theorem is applicable if two sides and the angle between them are known to be equal?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

9.

The triangles are congruent by the _____ triangle congruency theorem.

a)

Not enough information

b)

SSS

c)

ASA

d)

AAS

e)

SSA

10.

What parts of the triangles must be marked so that ΔHOE and ΔPOE\Delta HOE\ and\ \Delta POE  are congruent via AAS Theorem?

a)

H and P\angle H\ and\ \angle P  

b)

HEO and PEO\angle HEO\ and\ \angle PEO  

c)

HO and PO\overline{HO}\ and\ \overline{PO}  

d)

HE and PE\overline{HE}\ and\ \overline{PE}

11.

If three sides of one triangle are

congruent to three sides of another

triangle, then the two triangles are

congruent by which triangle congruence theorem?

a)

ASA

b)

SSS

c)

SAS

d)

AAS

12.
  1. 1. What other pair of corresponding congruent parts is needed to make the two triangles congruent by ASA Congruence Postulate?

a)

A. ∠G and ∠T

b)

B. ∠B and ∠F

c)

C. ∠I and ∠A

d)

D. ∠B and ∠A

13.

Which congruence theorem states that if two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the triangles are congruent?

a)

SSS

b)

SAS

c)

AAS

d)

ASA

14.

What is the minimum information needed to prove two triangles are congruent using the SSS theorem?

a)

Three sides

b)

Two angles and the included side

c)

Two sides and a non-included angle

d)

Two angles and a non-included side

15.

Which triangle congruence theorem can be used if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

16.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
17.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
18.

What additional pair of corresponding angles must be true to prove that ΔABCΔDEF \Delta ABC\cong\Delta DEF\ by AAS Triangle Congruence Theorem?

a)

<C<F<C\cong<F

b)

<A<C<A\cong<C

c)

<A<D<A\cong<D

d)

<F<D<F\cong<D

19.
a)
AAA
b)
SAS
c)
SSS
d)
SSA
20.

What parts of the triangles must be marked so that ΔHOE and ΔPOE\Delta HOE\ and\ \Delta POE  are congruent via AAS Theorem?

a)

H and P\angle H\ and\ \angle P  

b)

HEO and PEO\angle HEO\ and\ \angle PEO  

c)

HO and PO\overline{HO}\ and\ \overline{PO}  

d)

HE and PE\overline{HE}\ and\ \overline{PE}

21.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
22.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
23.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
24.

What is the circle's radius?

a)

3 m

b)

6 m

c)

12 m

25.

What is the circle's diameter?

a)

3 m

b)

6 m

c)

12 m

26.

Is this radius or diameter?

a)

Radius

b)

Diameter

27.

Is this Radius or Diameter?

a)

Radius

b)

Diameter

28.

Is this Radius or Diameter?

a)

Radius

b)

Diameter

29.

What is the radius of a circle when the diameter is 70 m?

a)

38 m

b)

35 m

c)

90 m

d)

140 m

30.

If a radius of a circle is 24 m, what is the diameter?

a)

12 m

b)

32 m

c)

25 m

d)

48 m

31.

What is the diameter?

a)

8 cm

b)

16 cm

c)

10 cm

d)

4 cm

32.

What is the radius?

a)

8 mm

b)

4 mm

c)

16 mm

33.

What is the diameter?

a)

40 ft

b)

80 ft

c)

20 ft

34.

What is the radius?

a)

94 cm

b)

188 cm

c)

47 cm

35.

a straight line from the center of a circle to the circumference

a)

Diameter

b)

Circumference

c)

Radius

d)

Area

36.

If the diameter of a circle is 50 m, what is the radius?

a)

25 m

b)

50 m

c)

75 m

d)

100 m

37.
What is the radius of this circle?
a)
12
b)
6
c)
24
38.

What is the diameter?

(a)  

39.

If the diameter of a circle is 12 cm, what is its radius?

a)

6 cm

b)

15 cm

c)

9 cm

d)

3 cm

40.

What is the radius?

(a)  

41.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
42.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
43.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
44.

What does C represent in the formula:

C = π·d

a)

Pi

b)

Circumference

c)

Diameter

d)

Area

45.
What is the circumference of this circle?  Round to the nearest tenth.
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
46.

Find the circumference of the circle.

a)

78.5 cm

b)

15.7 cm

c)

7.85 cm

d)

19.6 cm

47.
The radius of the circle is 9 meters.  What is the circle's circumference?
a)
9 meters
b)
28.26 meters
c)
56.52 meters
d)
18 meters
48.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

49.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

50.

What number represents π?

a)

31.4

b)

4.13

c)

3.14

d)

34.1