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Worksheets

IW 4B: Picture Properties and Included vs. Excluded

Total questions: 92

Worksheet time: 2hrs 32mins

Name
Class
Date
1.

What side is included in ∠A and ∠F?

a)

AI

b)

AF

c)

FI

d)

IT

2.

Is ∠T the included angle between sides IT and HT?

a)

Yes

b)

No

c)

Maybe

d)

I don't know.

3.

Is sides HT the included side between ∠T and ∠I?

a)

Yes

b)

No

c)

Maybe

d)

I don't know.

4.

∠F is the included angle of sides __ and __.

(Choose both)

a)

FA

b)

IA

c)

IF

d)

IH

5.

∠T is the included angle of sides __ and __.

(Choose both)

a)

IH

b)

IF

c)

IT

d)

HT

6.

What side is included in ∠H and ∠HIT?

a)

IH

b)

IF

c)

IT

d)

HT

7.

Side HT is the included side of angles __ and __. (Choose Both)

a)

∠I

b)

∠T

c)

∠F

d)

∠H

8.

Side IF is the included side of angles __ and __. (Choose Both)

a)

∠I

b)

∠T

c)

∠F

d)

∠A

9.

What angle is included in side IA and FA?

a)

∠T

b)

∠H

c)

∠I

d)

∠A

10.

What angle is included in side FI and AF?

a)

∠T

b)

∠F

c)

∠I

d)

∠A

11.

\cong  

a)

similar

b)

congruent

c)

proportional

d)

skew

12.

\perp  

a)

parallel

b)

perpendicular

c)

skew

d)

coplanar

13.

\sim  

a)

similar

b)

congruent

c)

less than

d)

greater than

14.

\parallel  

a)

parallel

b)

perpendicular

c)

skew

d)

coplanar

15.

xy\overline{xy}  

a)

line

b)

ray

c)

segment

d)

point

16.

Which Angle is included between AB and AC?

a)

Angle A

b)

Angle B

c)

Angle C

17.

Which angle is included between sides BC and AC

a)

Angle A

b)

Angle B

c)

Angle C

18.

Which two sides include angle B (choose both)

a)

Side AC

b)

Side AB

c)

Side BC

19.

What side is included between angle D and Angle E?

a)

Side DF

b)

Side DE

c)

Side EF

d)

Angle F

20.

What side is included between Angle Y and Angle Z

a)

Side XY

b)

Side XZ

c)

Side YZ

d)

angle X

21.

What are the two angles that include Side XY (choose both)

a)

Angle X

b)

Angle Y

c)

Angle Z

d)

side XZ

e)

Side YZ

22.

True or False: Angle A is included between sides BC and CA

a)

True

b)

False

c)

Side AB

d)

Angle C

23.

Which two angles include Side BC? (choose both)

a)

Angle A

b)

Angle B

c)

Angle C

d)

Side AB

e)

Side AC

24.

Congruence is defined as ...

a)

Identical in shape but can be different sizes

b)

Identical in shape and size and can be in any position or orientation

c)

Triangles that are the same size

d)

Identical in size but can be different shapes

25.

What angle is included between GT and MG?

a)

∠G

b)

∠M

c)

∠T

26.

Which sides include ∠T?

a)

GM

b)

GT

c)

MT

27.

What angle is included between GM and MT?

a)

∠G

b)

∠M

c)

∠T

d)

∠GM

28.

Is angle H included between the two known sides?

a)

Yes

b)

No

29.

Is angle E included between the two known sides?

a)

Yes

b)

No

30.

Is Angle W included between the two known sides?

a)

Yes

b)

No

31.

Is side PT included between the two known angles?

a)

Yes

b)

No

32.

Is side IJ included between the two known angles?

a)

Yes

b)

No

33.

Is side FG included between the two known angles?

a)

Yes

b)

No

34.

Is side ED between the two known angles?

a)

Yes

b)

No

35.

Are these congruent by...

a)

SAS

b)

SSA (Not congruent)

36.

Are these congruent by...

a)

SAS

b)

SSA (Not congruent)

37.

Are these congruent by...

a)

SAS

b)

SSA (Not congruent)

38.

Are these congruent by...

a)

ASA

b)

AAS

39.

Are these congruent by...

a)

ASA

b)

AAS

40.

Are these congruent by...

a)

ASA

b)

AAS

41.

Are these congruent by...

a)

ASA

b)

AAS

42.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

43.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
44.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

45.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

46.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

47.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

48.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

49.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

50.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

51.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

52.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

53.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

54.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

55.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

56.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

57.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

58.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

59.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

60.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

61.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

62.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

63.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

64.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

65.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

66.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

67.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

68.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive Angles

c)

Vertical Angles

d)

None of these

69.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical Angles

d)

None of these

70.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

71.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

72.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

73.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

74.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical Angles

d)

None of these

75.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive angles

c)

Vertical Angles

d)

None of these

76.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

77.

Which "Picture Property/Theorem" can be used here?

a)

 Reflexive segments

b)

 Reflexive angles

c)

 Vertical angles

d)

 None of these

78.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

79.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

80.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

81.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive Segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

82.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

83.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

84.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

85.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical Angles

d)

None of these

86.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

87.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

88.

Which "Picture Property/Theorem" can be used here? (Ignore vertical angles)

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical Angles

d)

None of these

89.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

90.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

91.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these

92.

Which "Picture Property/Theorem" can be used here?

a)

Reflexive segments

b)

Reflexive angles

c)

Vertical angles

d)

None of these