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Classify Triangles/Triangle Sum & Ex. Angle Thm/Congruent Fi

Total questions: 45

Worksheet time: 1hrs 6mins

Name
Class
Date
1.
Find the measure of the angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
2.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
3.
What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?
a)
43
b)
58
c)
72
d)
101
4.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
5.
Solve for x.
a)
16
b)
11
c)
50
d)
6
6.
If all three angles are exactly the same measure, how big is each angle?
Hint:    x + x + x  = 180
a)
180 degrees
b)
90 degrees
c)
50 degrees
d)
60 degrees
7.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
8.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
9.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
10.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
11.

Which of the following is false?

a)

A triangle can be drawn with 3 acute angles.

b)

A triangle can be drawn with 2 obtuse and one acute angles.

c)

A triangle can be drawn with only one obtuse angle and two acute angles.

d)

A triangle can be drawn with only one right angle and two acute angles.

12.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

13.

Find the measure of each angle indicated.

a)

70°70\degree

b)

170°170\degree

c)

10°10\degree

d)

40°40\degree

14.

Find the measure of each angle indicated.

a)

5°5\degree

b)

165°165\degree

c)

65°65\degree

d)

60°60\degree

15.

Find the measure of each angle indicated.

a)

50°50\degree

b)

120°120\degree

c)

30°30\degree

d)

20°20\degree

16.

Find the measure of each angle indicated.

a)

105°105\degree

b)

75°75\degree

c)

55°55\degree

d)

115°115\degree

17.

Find the measure of each angle indicated.

a)

95°95\degree

b)

185°185\degree

c)

55°55\degree

d)

100°100\degree

18.

Find the measure of each angle indicated.

a)

180°180\degree

b)

190°190\degree

c)

30°30\degree

d)

20°20\degree

19.

Find the measure of each angle indicated.

a)

94°94\degree

b)

30°30\degree

c)

40°40\degree

d)

86°86\degree

20.

Find the measure of each angle indicated.

a)

60°60\degree

b)

130°130\degree

c)

50°50\degree

d)

110°110\degree

21.

Which of the following angles are remote interior angles to

 ∠d\angle d  ?

a)

 ∠a and ∠b\angle a\ and\ \angle b  

b)

 ∠a and ∠c\angle a\ and\ \angle c  

c)

 ∠b and ∠d\angle b\ and\ \angle d  

d)

 ∠a, ∠b, and ∠c\angle a,\ \angle b,\ and\ \angle c  

22.
a)

acute

b)

obtuse

c)

right

23.
a)

acute

b)

obtuse

c)

right

24.
a)

acute

b)

obtuse

c)

right

25.

Classify this triangle by its sides and angles.

a)

acute & scalene

b)

right & scalene

c)

right & equilateral

d)

acute & equilateral

26.

Classify this triangle by its sides and angles.

a)

obtuse & isosceles

b)

right & scalene

c)

right & isosceles

d)

obtuse & scalene

27.

Classify this triangle by its sides and angles.

a)

obtuse & equilateral

b)

obtuse & isosceles

c)

right & isosceles

d)

right & equilateral

28.

Classify this triangle by its sides and angles.

a)

right & scalene

b)

acute & isosceles

c)

right & isosceles

d)

acute & scalene

29.

Classify this triangle by its sides and angles.

a)

acute

b)

obtuse

c)

isosceles

d)

equilateral

30.

 JK‾ ≅ ?\overline{JK}\ \cong\ ?  

a)

 KX‾\overline{KX}  

b)

 JK‾\overline{JK}  

c)

 XJ‾\overline{XJ}  

d)

 KI‾\overline{KI}  

31.

 CB‾ ≅ ?\overline{CB}\ \cong\ ?  

a)

 ∠I\angle I  

b)

 GI‾\overline{GI}  

c)

 IB‾\overline{IB}  

d)

 BG‾\overline{BG}  

32.

 LK‾ ≅ ?\overline{LK}\ \cong\ ?  

a)

 JE‾\overline{JE}  

b)

 JF‾\overline{JF}  

c)

 EF‾\overline{EF}  

d)

 KJ‾\overline{KJ}  

33.

 ML‾ ≅ ?\overline{ML}\ \cong\ ?  

a)

 CL‾\overline{CL}  

b)

 LD‾\overline{LD}  

c)

 DC‾\overline{DC}  

d)

 NL‾\overline{NL}  

34.

 BC‾ ≅ ?\overline{BC}\ \cong\ ?  

a)

 XW‾\overline{XW}  

b)

 XY‾\overline{XY}  

c)

 YW‾\overline{YW}  

d)

 BC‾\overline{BC}  

35.

 ∠D ≅ ?\angle D\ \cong\ ?  

a)

 ∠X\angle X  

b)

 ∠W\angle W  

c)

 ∠Y\angle Y  

d)

 ∠C\angle C  

36.

 ∠NLM ≅ ?\angle NLM\ \cong\ ?  

a)

 ∠DLC\angle DLC  

b)

 ∠D\angle D  

c)

 ∠N\angle N  

d)

 ∠C\angle C  

37.

 ∠EJF ≅ ?\angle EJF\ \cong\ ?  

a)

 ∠L\angle L  

b)

 ∠E\angle E  

c)

 ∠LJK\angle LJK  

d)

 ∠F\angle F  

38.

 ∠CBD ≅ ?\angle CBD\ \cong\ ?  

a)

 ∠G\angle G  

b)

 ∠I\angle I  

c)

 ∠IBG\angle IBG  

d)

 ∠C\angle C  

39.

 ∠I≅ ?\angle I\cong\ ?  

a)

 ∠X\angle X  

b)

 ∠XKJ\angle XKJ  

c)

 ∠KJX\angle KJX  

d)

 ∠IJK\angle IJK  

40.

Write a congruence statement for the triangles.

a)

ΔIHG≅ΔQRP\Delta IHG\cong\Delta QRP

b)

ΔHIG≅ΔQPR\Delta HIG\cong\Delta QPR

c)

ΔIHG≅ΔRQP\Delta IHG\cong\Delta RQP

d)

ΔGHI≅ΔQPR\Delta GHI\cong\Delta QPR

41.

Write a congruence statement for the triangles.

a)

ΔRQS≅ΔWRV\Delta RQS\cong\Delta WRV

b)

ΔQSR≅ΔVRW\Delta QSR\cong\Delta VRW

c)

ΔRQS≅ΔRVW\Delta RQS\cong\Delta RVW

d)

ΔSRQ≅ΔVWR\Delta SRQ\cong\Delta VWR

42.
Solve for x
a)
5
b)
4
c)
3
d)
2
43.
Solve for y
a)
2
b)
3
c)
4
d)
5
44.
Figures that have the same _____ and size are congruent triangles. 
a)
corresponding
b)
corners
c)
angles
d)
shape
45.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C