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Practice Problems Competency 8
A) Name the relationship: complementary, supplementary, linear pair, vertical, or adjacent.
1) linear pair, supplementary, adjacent
3) adjacent
5) vertical
2) adjacent
4) complementary, adjacent
6) adjacent
B) Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive
interior.
1) corresponding
2) alternate exterior
3) corresponding
4) consecutive interior
5) alternate interior
6) alternate exterior
C) Find the measure of each angle indicated.
1)
110°
2)
80°
3)
125°
D) Classify each triangle by each sides and angles.
1)
2)
3)
4)
5)
6)
1) scalene, obtuse
3) scalene, right
5) isosceles, obtuse
2) isosceles, acute
4) scalene, acute
6) isosceles, right
E) State if the two triangles are congruent. If they are, state how you know.
1) No
2) ASA
3) SSS
4) ASA
5) No
6) ASA
7) SAS
8) SSS
9) SAS
10) SSS
3) 6
4) 4
F) Find the value of x.
1) 7
2) 6
5) 70°
G) State if the three numbers can be the measures of the sides of a triangle.
1) 7, 5, 4
Yes
2) 3, 6, 2
No
6) 75°
H) Two sides of a triangle have the following measures. Find the range of possible measures for
the third side.
I)
1) 9,5
4 < x< 14
2) 11, 8
3 < x < 19
Order the angles in each triangle from smallest to largest.
1)
J, K, L
2)
P, R, Q
J) Find the measure of one interior angle and one exterior angle in each regular polygon. Round
your answer to the nearest tenth if necessary.
1) interior 108°
2) interior 135°
3) interior 147.3°
4) interior 120°
exterior 72°
exterior 45°
exterior 32.7°
exterior 60°
K) Find the missing side of each triangle. Leave your answers in simplest radical form.
1)
2)
2√14 yd
8√3 km
L) Find the missing side lengths. Leave your answers as radicals in simplest form.
1)
u = 4, v = 2√3
3)
x = 6, y = 3√2
M) Find the value of each trigonometric ratio.
2)
x = y = 3√2
4)
x = 8√3, y = 8
1) 3/4
S) Name each figure:
1) pentagonal prism
2) triangular pyramid
3) trapezoidal prism
4) sphere
5) square prism
6) cone
2) 8/17
3)4/5
4) 4/3
T) Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
1)
2)
306°
146°
U) Find the measure of the arc or angle indicated.
1)
2)
40°
84°
V) Find the measure of the arc or angle indicated. Assume that lines which appear tangent are
tangent.
2)
97°
115°
4)
59°
100°
W) Find the measure of the arc or angle indicated. Assume that lines which appear tangent are
tangent.
1) 208°
2) 130°
3) 73°
4) 60°
X) Solve for x. Assume that lines which appear tangent are tangent.
1)
1) 16
2)
2) 9
3)
3) 10
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