G.CO.10 WORKSHEET #1 – PATTERSON
NAME: ________________________
1
Classify each triangle by its angles and sides. Equal sides and equal angles, if any, are indicated in each
diagram.
1.
2.
3.
4.
2. Determine the measure of the angle.
a) mA = ________
b) mC = ________
B
c) mC = ________
B
d) mA = ________
B
B
60°
48°
99°
118°
C
65°
41°
C
A
A
A
A
C
C
3. Determine the measure of the angles.
a) m1 = _______ m2 = ______
1
b) m1 = _______ m2 = ______
m3 = _______
2
c) m1 = _______ m2 = ______
m3 = _______
64°
27°
76°
1
2
1
3
2
68°
3
4. Determine the missing information.
a) x = _______ mA = _________
b) x = _______ mB = _________
c) x = _______ mA = _________
B
B
B
68°
4x
2x
3x - 3
A
3x
2x
A
C
2x
3x + 5
C
A
C
G.CO.10 WORKSHEET #1 – PATTERSON
2
5. An exterior angle is formed between a side and the extension of a side. It will always be a linear pair with
an internal angle. In the diagram below, 4 is the exterior angle. The exterior angle theorem states that
the EXTERNAL ANGLE IS EQUAL TO THE SUM OF THE TWO REMOTE ANGLES. The remote angles are those
interior angles that are not adjacent to the exterior angle so in this case 1 & 2 are the remote angles.
B
m1 + m2 = m4, Explain why this would be true.
1
4
3
2
C
A
6. Determine the missing information.
a) m1 = ______ m3 = ______
B
b) m1 = ______ m3 = ______
B
c) m1 = ______ m3 = ______
98°
40°
1
3
49°
18°
124°
3
A
1
3
165°
1
C
C
A
7. Find the value of x
a) x = ____________
b) x = ____________
c) x = ____________
2x - 2
x
x
x+5
3x - 17
x
x + 40
2x - 5
G.CO.10 WORKSHEET #1 – PATTERSON
d) x = ____________
3
e) x = ____________
f) x = ____________
E
47°
B
42°
x
48°
64°
81°
x
A
x
F
g) x = ____________
52°
h) x = ____________
x
82°
D
C
i) x = ____________
121°
56°
59°
x
x
65°
j) x=
k) x=
x
l) x=
82°