Free Printable Congruent Triangles Lottery Review

1.

WHAT ARE THE TWO WAYS TO CLASSIFY TRIANGLES?

a)

SIZE OF TRIANGLE

b)

SIDES

c)

ANGLES

d)

COLOR

2.

LOOKING AT SIDES: WHAT KIND OF TRIANGLE IS THIS

a)

SCALENE

b)

ISOSCELES

c)

EQUILATERAL

3.

LOOKING AT SIDES: WHAT KIND OF TRIANGLE IS THIS

a)

SCALENE

b)

ISOSCELES

c)

EQUILATERAL

4.

LOOKING AT SIDES: WHAT KIND OF TRIANGLE IS THIS

a)

SCALENE

b)

ISOSCELES

c)

EQUILATERAL

5.

LOOKING AT ANGLES: WHAT TYPE OF TRIANGLE IS THIS? HINT: ALL ANGLES > 90

a)

ACUTE

b)

OBTUSE

c)

RIGHT

6.

LOOKING AT ANGLES: WHAT TYPE OF TRIANGLE IS THIS? HINT: ONE ANGLE = 90 DEGREES

a)

ACUTE

b)

OBTUSE

c)

RIGHT

7.

LOOKING AT ANGLES: WHAT TYPE OF TRIANGLE IS THIS? HINT: ONE ANGLE > 90 DEGREES

a)

ACUTE

b)

OBTUSE

c)

RIGHT

8.

WHAT TYPE OF TRIANGLE IS THIS?

a)

RIGHT EQUILATERAL

b)

OBTUSE SCALENE

c)

ACUTE EQUILATERAL

d)

ACUTE ISOSCELES

9.

WHAT TYPE OF TRIANGLE IS THIS

a)

RIGHT EQUILATERAL

b)

RIGHT SCALENE

c)

RIGHT ISOSCELES

d)

OBTUSE SCALENE

10.

WHAT TYPE OF TRIANGLE IS THIS

a)

OBTUSE EQUILATERAL

b)

RIGHT SCALENE

c)

ACUTE ISOSCELES

d)

OBTUSE ISOSCELES

11.

Determine the length of $\overline{JK}$

a)

13 units

b)

32 units

c)

14 units

d)

34 units

12.

Determine the length of $\overline{CB}$

a)

21 units

b)

15 units

c)

6 units

d)

x units

13.

Solve for x.

a)

16

b)

11

c)

50

d)

6

14.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

15.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

16.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

17.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

18.

Solve for x.

a)

1

b)

2

c)

3

d)

4

19.

What is the measurement of angle J and K?

a)

m∠J= 68, m∠K= 136

b)

m∠J= 68, m∠K= 44

c)

m∠J= 67, m∠K= 77

d)

m∠J= 44, m∠K= 68

20.

What is the measurement of YZ and the measurement of angle Y?

a)

YZ=12 cm, m∠Y= 77

b)

YZ=6cm, m∠Y= 144

c)

YZ=12cm , m∠Y= 26

d)

YZ=12 cm, m∠Y= 45

21.

What is the measurement of angle C and the measurement of BC and AC?

a)

m∠C= 55, BC= 8, AC= 8

b)

m∠C= 90, BC= 5, AC= 7

c)

m∠C= 60, BC= 9, AC= 12

d)

m∠C= 60, BC= 9, AC= 9

22.

What is the measurement of angle J, K, L?

a)

m∠J= 60, m∠K= 60, m∠L= 60

b)

m∠J= 60, m∠K= 30, m∠L= 90

c)

m∠J= 30, m∠K= 60, m∠L= 90

d)

m∠J= 60, m∠K= 45, m∠L= 75

23.

What is the value of x?

a)

11

b)

12

c)

13

d)

14

24.

Solve for x

a)

9

b)

8

c)

7

d)

6

25.

Solve for x

a)

9

b)

5

c)

7

d)

3

26.

Find the values of x, y, z

a)

x=20 , y=15 , z=12

b)

x=12 , y=15 , z= 20

c)

x=15 , y=12 , z=20

d)

x=20 , y=12 , z=15

27.

What are the values for x, y, z?

a)

x=47 , y=5 , z=10

b)

x=10 , y=5 , z=47

c)

x=47 , y=10 , z=5

d)

x=5 , y=47 , z=10

28.

Find the missing side in the triangle.

a)

6

b)

12

c)

7

d)

10

29.

Find the value of x.

a)

7

b)

13

c)

44

d)

11

30.

Find the value of x.

a)

12

b)

-12

c)

9

d)

7

31.

Determine the length of $\overline{JK}$

a)

13 units

b)

32 units

c)

14 units

d)

34 units

32.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

33.

Solve for x.

a)

16

b)

11

c)

50

d)

6

34.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

35.

What is the measure of BC?

a)

12

b)

6

c)

not enough information

d)

10

36.

What is the value of x?

a)

16

b)

60

c)

8

d)

not enough information

37.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

38.

a)

A

b)

B

c)

C

d)

D

39.

Solve for x

a)

49

b)

58

c)

70

d)

94

40.

Solve for x

a)

65

b)

74

c)

37

d)

64

41.

Solve for x

a)

70

b)

23

c)

120

d)

130

42.

Solve for x

a)

105

b)

78

c)

110

d)

25

43.

Solve for x

a)

85

b)

78

c)

95

d)

110

44.

Solve for x

a)

30

b)

60

c)

45

d)

70

45.

Solve for x

a)

48

b)

85

c)

24

d)

9

46.

Solve for x

a)

3

b)

4

c)

2

d)

1

47.

Solve for x.

a)

6

b)

8

c)

15

d)

13

48.

Solve for x.

a)

13

b)

8

c)

11

d)

4

49.

Find m∠B.

a)

150°

b)

67°

c)

54°

d)

57°

50.

Choose a correct equation to find x.

a)

4x - 2 + 12x + 1 = 75

b)

4x - 2 + 75 = 12x + 1

c)

4x - 2 + 75 + 12x + 1 = 180

d)

4x - 2 - 75

51.

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°

52.

Triangle KLM is equilateral with KM = x + 2, LM = 12 – x, and KL = 4x – 13.

Find the value of x.

(Hint: draw a picture)

a)

2

b)

3

c)

4

d)

5

53.

Triangle DEF is isosceles, angle D is the vertex angle, DE = x + 7, DF = 3x – 1, and EF = 2x + 5.

Find the value of x.

(Hint: draw a picture)

a)

2

b)

4

c)

6

d)

8

54.

Triangle LMN is isosceles, angle L is the vertex angle, LM = 3x – 2, LN = 2x + 1, and MN = 5x – 2.

Find the value of x.

(Hint: draw a picture)

a)

0

b)

1

c)

2

d)

3

55.

What is the value of x?

a)

107

b)

34

c)

112

d)

73

56.

What's the measure of ∠BAC? Given: m∠DBF=35⁰

a)

20

b)

35

c)

70

d)

110

57.

Find the values of m and n. [Ans: m, n]

a)

54, 27

b)

27, 27

c)

27, 36

d)

36, 27

58.

Find the value of m and n. [Ans: m, n]

a)

30,60

b)

60, 30

c)

60, 45

d)

90, 60

59.

A triangle has side lengths of 15 centimeters, 11 centimeters, and 9 centimeters. What kind of triangle is it?

a)

equilateral

b)

isosceles

c)

scalene

60.

Which postulate can be used to prove the triangles congruent?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

61.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

62.

Which postulate can be used to prove triangle GEF is congruent to triangle GJH?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

63.

For the given picture, EF = BC and AB = DE. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

HL

64.

For the given triangles, AD = CB and EC = EA. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

65.

For the given picture, point C is the midpoint of AD and BE. Which postulate can be used to prove triangle BAC congruent to triangle DEC?

a)

SSS

b)

ASA

c)

SAS

d)

HL

66.

Which congruent postulate proves the triangles congruent?

a)

ASA

b)

SSA

c)

SAS

d)

AAS

67.

Find the value of y for the given picture.

a)

4

b)

5.75

c)

3.86

d)

2.86

68.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

69.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

70.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

71.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

72.

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

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

73.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

74.

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

a)

SSS

b)

SAS

c)

ASA

d)

HL

75.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

76.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

77.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

78.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta LEO\cong\Delta OVE$

b)

$\Delta OEV\cong\Delta OLE$

c)

$\Delta OVL\cong\Delta OLV$

d)

$\Delta OLE\cong\Delta OVE$

79.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

80.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

81.

How are the triangles congruent?

a)

SAS

b)

ASA

c)

HL

d)

SSS

82.

Are the triangles congruent by HL?

a)

Yes

b)

No

83.

When can we use the HL Congruence Theorem?

a)

Right Triangles

b)

Isosceles Triangles

c)

When we have a reflexive side

d)

SSA

84.

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

85.

What are the 2 missing pieces of information?

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

86.

What is statement #1?

a)

BC≅DC

b)

AC≅EC

c)

BC≅DC, AC≅EC

d)

∆BCA≅∆DCE

87.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

88.

What is the "statement" for step 3 of the proof?

a)

∠EDA ≅ ∠DCB

b)

∠AED ≅ ∠BEC

c)

DE = CE

d)

∠AED ≅ ∠CED

89.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

90.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

91.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

92.

What is #4 Reason?

a)

Alternate Interior Angles

b)

Vertical Angles

c)

Reflexive Property

d)

Angle Bisector

93.

What is the reason the two triangles are congruent? (Reason #4)

a)

SSS

b)

SAS

c)

ASA

d)

AAS

94.

Which of the following are given statements?

a)

$\overline{AB}\cong\overline{DE}$

b)

$\overline{AC}\cong\overline{DF}$

c)

$\overline{BC}\cong\overline{EF}$

d)

$\angle A\cong\angle D$

95.

What statement should go into #4?

a)

$\overline{LM}\cong\overline{OP}$

b)

$N\ is\ the\ midpoint\ of\ \overline{MO}$

c)

$\overline{MN}\cong\overline{ON}$

d)

$\overline{LN}\cong\overline{PN}$

96.

By your proof, what reason are the 2 triangles congruent?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

97.

What is statement #1?

a)

b)

Given

c)

$\angle BCA\cong\angle DCE$

d)

98.

What is the reason for statement #1?

a)

Given

b)

$\overline{KM}\cong\overline{MK}$

c)

Definition of Congruent Segments

d)

Prove

99.

What is the reason for statement #2.

a)

Definition of midpoint

b)

Definition of congruent

c)

Definition of angle bisector

d)

Definition of segment bisector

100.

What is the reason for statement #3?

a)

SAS

b)

Prove

c)

SSA

d)

SSS

Congruent Triangles Lottery Review

Total questions: 100

Worksheet time: 7hrs 58mins

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