Free Printable Lesson 4-2: Equilateral & Isosceles Triangles

1.

Which angle is the vertex angle?

a)

<C

b)

<A

c)

<B

2.

Which segment is the base?

a)

Segment AB

b)

Segment BC

c)

Segment AC

3.

Find the value of x.

a)

90

b)

45

c)

22

d)

35

4.

Find the value of x.

a)

1

b)

4

c)

5

d)

8

5.

Find the value of y.

y = (a)

6.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

7.

What is the measure of ∠T?

SOLVE FOR X AND PLUG X BACK INTO ANGLE T.

a)

4

b)

52

c)

76

d)

25

8.

What is the value of y?

y = (a)

9.

What is the measure of ∠D? SOLVE FOR X AND PLUG X BACK INTO ANGLE D.

D = (a)

10.

Find x if Triangle ABC is an equilateral triangle.

a)

2

b)

4

c)

6

d)

8

11.

Classify the triangle.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

12.

Which sides are congruent?

a)

AB and AC

b)

AB and BC

c)

AC and BC

d)

ABC and ACB

13.

Solve for x.

a)

30°

b)

40°

c)

50°

d)

60°

14.

ΔCAB and ΔCTB are isosceles.

m ∠CTB = 87º and m ∠CAB = 65º.

Find m ∠ACT.

a)

46.5º

b)

104º

c)

57.5º

d)

115º

15.

ΔGAB is isosceles. The exterior angle at point B measures 138º.

Find m∠A.

(a)

16.

ΔBUG is isosceles. m ∠B = x + 10, m ∠U = 3x

Find m ∠U.

(a)

17.

Find the value of x.

a)

7

b)

60

c)

8

d)

-4

18.

Classify the triangle.

a)

Equilateral Triangle

b)

Scalene Triangle

c)

Obtuse Triangle

d)

Right Triangle

19.

Select the letter that represents a right isosceles triangle.

a)

A

b)

B

c)

C

d)

D

20.

What is the value of x?

a)

60

b)

20

c)

15

d)

40

21.

Find the value of x.

a)

180

b)

57

c)

61.5

d)

32.7

22.

Solve for the value of x.

a)

7

b)

9

c)

10

d)

-11

23.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

24.

ΔDEG and ΔEGF are isosceles triangles and the m ∠EDG = 64º. Find m ∠GEF.

a)

32º

b)

64º

c)

52º

d)

116º

25.

What are the measurements of angles 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

26.

What is the measurement of angle C and the measurements 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

27.

What is the value of x? Round your answer to the nearest unit.

a)

3

b)

16

c)

51

d)

78

28.

Find the value of x.

a)

75

b)

30

c)

150

29.

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

30.

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

31.

What is the value of x?

a)

11

b)

12

c)

13

d)

14

32.

Solve for x

a)

9

b)

8

c)

7

d)

6

33.

Solve for x

a)

9

b)

5

c)

7

d)

3

34.

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

35.

A triangle with at least 2 congruent sides is called...

a)

Scalene

b)

Isosceles

c)

Right

d)

Obtuse

36.

The two congruent sides of an isosceles triangle are called the...

a)

base

b)

legs

c)

hypotenuse

d)

equilateral

37.

If $\overline{AB}\cong\overline{AC}$ then...

a)

$<B\cong<C$

b)

$<A\cong<C$

c)

$\overline{BC}\cong\overline{AC}$

d)

$\overline{BC}\cong\overline{BA}$

38.

If $\overline{NJ}\cong\overline{NM}$ , then....

a)

$<K\cong<L$

b)

$<J\cong<M$

c)

$\overline{NK}\cong\overline{KL}$

d)

$\overline{JK}\cong\overline{KL}$

39.

If $\overline{LM}\cong\overline{LN}$ , then....

a)

$<LMN\cong<LNM$

b)

$<KLN\cong<MLN$

c)

$\overline{MN}\cong\overline{NJ}$

d)

$\overline{JL}\cong\overline{LM}$

40.

If $<NKM\cong<NMK$ , then....

a)

$\overline{NK}\cong\overline{NL}$

b)

$\overline{JK}\cong<\overline{KN}$

c)

$\overline{NK}\cong\overline{NM}$

d)

$\overline{MK}\cong\overline{MN}$

41.

Find the value of x

a)

25

b)

50

c)

65

d)

130

42.

Find the value of x

a)

3

b)

6

c)

8

d)

12

43.

Find the value of x

a)

20

b)

30

c)

45

d)

60

44.

Find the value of y

a)

4

b)

10

c)

20

d)

100

45.

Find the measure of ∠BAC.

a)

58°

b)

122°

c)

72°

d)

64°

46.

Find the measure of ∠GIH.

a)

72°

b)

54°

c)

122°

d)

35°

47.

Find the measure of ∠HDE

a)

72°

b)

65°

c)

115°

d)

90°

48.

Find the measure of ∠BCA.

a)

46°

b)

134°

c)

55°

d)

28°

49.

Find the side length of AC

a)

10

b)

2

c)

5

d)

12

50.

If ∠DEF≅∠EFD, then...

a)

DE ≅ EF

b)

DF ≅ EF

c)

DE ≅DF

d)

All the sides are ≅

51.

Find the side length of AB.

a)

10

b)

9

c)

2

d)

5

52.

Find the measure of ∠CBA

a)

94°

b)

120°

c)

65°

d)

38°

53.

If AB ≅ AC, then...

a)

∠ABC≅∠BCA

b)

∠ABC≅∠CAB

c)

∠CAB≅∠BCA

d)

No angles are ≅

54.

Find the measure of ∠HCD.

a)

45°

b)

65°

c)

115°

d)

72°

55.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

60, 60, 60

c)

45, 45, 90

d)

35, 55, 90

56.

The sides of an equilateral triangle have...

a)

different measures.

b)

90^o

c)

equal measures.

d)

60°.

57.

What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

58.

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°

59.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

a)

sides

b)

vertices

c)

angles

d)

measures

60.

What is the value of the missing angle?

a)

61

b)

50

c)

60

d)

69

61.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

62.

What is the measure of ∠T?

a)

45

b)

30

c)

60

d)

180

63.

What is the value of x?

a)

16

b)

60

c)

8

d)

10

64.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

65.

Find x

a)

90

b)

45

c)

22

d)

35

66.

Find x

a)

10

b)

32

c)

116

d)

16

67.

Find x

a)

3

b)

4

c)

2

d)

10

68.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

69.

What is the length of side JK?

a)

12

b)

30

c)

33

d)

3

70.

What is the

m\angle U

?

(a)

71.

Find the value of x

(a)

72.

Isosceles triangles have how many congruent sides and angles?

a)

1

b)

2

c)

3

73.

Equilateral triangles have how many congruent sides and angles?

a)

2

b)

3

c)

4

74.

To classify triangles by the measure of their sides you must use the names:

a)

Equilateral, Equiangular and Obtuse

b)

Equilateral, Isosceles and Scalene

c)

Right triangle, Scalene and Equiangular

d)

Isosceles, Scalene and Equilateral

75.

To classify triangles by tne measure of their angles we use the names:

a)

Equiangular, Isosceles and Acute

b)

Acute, Obtuse and Isosceles

c)

Right triangle, Isosceles triangle and Scalene triangle

d)

Right triangle, Obtuse triangle and Acute triangle

76.

When the triangle has one right angle it is called:

a)

Acute triangle

b)

Obtuse triangle

c)

Right triangle

d)

Scalene triangle

77.

Inside any triangle the sum of all the angles in degrees is always:

a)

360

b)

90

c)

150

d)

180

78.

If you want to draw a triangle you can use the following angle measures:

a)

50, 50 and 50

b)

60, 60, and 60

c)

90, 50 and 50

d)

45, 45 and 45

79.

How many degrees is X?

a)

65

b)

70

c)

90

d)

55

80.

How many degrees is X?

a)

37

b)

47

c)

7

d)

90

81.

How many triangles in the figure are obuse?

a)

1

b)

2

c)

3

d)

4

82.

How many triangles in the figure are acute?

a)

1

b)

2

c)

3

d)

4

83.

.
.
.
.
What is the name of this kind of triangle?

a)

Right

b)

Isosceles

c)

Scalene

d)

Equilateral

84.

The sides of an equilateral triangle have...

a)

different measures

b)

equal measures

85.

If $\Delta ABC$ is equilateral, what is the length of BC?

a)

6

b)

31

c)

29

d)

11

86.

If triangle ABC is equilateral, what is the perimeter of the triangle.

a)

3

b)

24

c)

72

d)

180

87.

What is always true about an isosceles triangle

a)

At least two sides are congruent

b)

At least two angles are congruent

c)

All of its angles are congruent

d)

All of its sides are congruent

e)

One of the angles is 90 degrees

88.

The roof supports on Randall’s house is in the shape of a triangle, according to the figure below, what are the measures of the base angles of the triangle?

a)

$84\degree$

b)

$48\degree$

c)

$96\degree$

d)

$180\degree$

89.

A slice of pumpkin pie is shaped like an isosceles triangle. If the tip is 24 degrees, how big are the base angles?

a)

$24\degree$

b)

$78\degree$

c)

$156\degree$

d)

$180\degree$

90.

If the $m\angle2=42\degree$ , what is the $m\angle1?$

a)

$42\degree$

b)

$69\degree$

c)

$111\degree$

d)

$180\degree$

91.

What is the $m\angle ABC$ ?

a)

$42\degree$

b)

$180\degree$

c)

$9\degree$

d)

$69\degree$

92.

Rhombus QRST is made of two congruent triangles. Given m∠QRS = 34, what is the measure of ∠S?

a)

$34\degree$

b)

$17\degree$

c)

$146\degree$

d)

$180\degree$

93.

Find the value of x.

a)

72

b)

67

c)

65

d)

54

94.

Solve for y

a)

70

b)

40

c)

140

d)

Not enough information

95.

Find the value of x

(a)

96.

Find the value of x

(a)

97.

What is the measure of ∠S?

a)

60⁰

b)

52⁰

c)

45⁰

d)

36⁰

98.

What is the value of x?

a)

107

b)

34

c)

112

d)

73

99.

Find the values of m and n.

a)

m = 54, n = 27

b)

m = 27, n = 27

c)

m = 27, n = 36

d)

m = 36, n = 27

100.

Find the length of LM.

a)

4

b)

5

c)

3

d)

6

101.

Find the value of y.

(a)

102.

Find the value of x.

(a)

103.

Find the value of y.

(a)

104.

Find the value of x.

(a)

105.

Find the value of y.

(a)

106.

Find the perimeter of the triangle.

(a)

107.

Find the perimeter of the triangle.

(a)

108.

A triangle that has all three equal sides is a(n)......

a)

Equilateral Triangle

b)

Isosceles Triangle

c)

Scalene Triangle

109.

What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

None

110.

A triangle that has two sides that are the same size is a(n).....

a)

equilateral triangle

b)

isosceles triangle

c)

scalene triangle

d)

none

111.

What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

112.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

113.

^{_{What type of triangle is this?}}

a)

Equilateral

b)

Isosceles

c)

Scalene

114.

Use the picture to answer the question.

a)

30

b)

60

c)

15

d)

120

115.

Solve for x.

a)

6

b)

5

c)

-11

d)

4

Lesson 4-2: Equilateral & Isosceles Triangles

Total questions: 115

Worksheet time: 10hrs 35mins

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