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ID: A
Packet Three.................................................Geometry - Part 2..............................................Unit One
3. Which of the following is an obtuse angle?
Classify the angle as acute, right, obtuse, or
straight.
1. The measure of the angle is 69°.
a.
b.
2.
c.
d.
a.
b.
c.
d.
obtuse
acute
right
straight
4. Tell whether the angles are complementary, supplementary, or neither.
7. Find the value of x.
For the given angle measure, find the measure
of a supplementary angle and the measure of a
complementary angle, if possible.
5. 45º
6. 106º
1
Name: ________________________
ID: A
10. Find the measure of an angle that is supplementary
to a 40º angle. Then use a protractor to draw both
angles.
8. Which pair of angles are supplementary?
Use the figure.
a.
b.
c.
d.
a and e
f and h
a and b
g and f
11. Name all pairs of adjacent, supplementary angles in
the figure above.
Find the measures of the numbered angles.
12. Given that m∠VXZ = 82º, find m∠WXY.
a. 118°
b. 98°
c. 108°
d. 82°
9.
13. Name all pairs of vertical angles in the figure.
14. The diagram below shows part of three roads.
a. Name all the pairs of vertical angles.
b. Name all the pairs of corresponding angles.
2
Name: ________________________
ID: A
21. What is the measure of ∠e? Lines PQ and RS are
parallel. (The figure may not be drawn to scale.)
Use the figure.
15. Find m∠1 .
a. 60°
b. 140°
c. 50°
d. 40°
22. Which statement is true according to the diagram?
16. Find m∠2 .
a. 40°
b. 140°
c. 60°
d. 50°
17. Find m∠5 .
a. 70°
b. 130°
c. 40°
d. 50°
a.
b.
c.
d.
18. Find m∠3 .
19. Find m∠4 .
p || m
l ⊥n
m⊥ n
l || n
23. Hintz Road is parallel to Baker Street. If
m∠2 = 117º, what is m∠7?
20. Find m∠6 .
3
Name: ________________________
ID: A
Find the value of x.
Find the value of y.
24.
27.
a.
b.
c.
d.
57
75
48
105
25.
a.
b.
c.
d.
144
90
124
34
a.
b.
c.
d.
73
38
93
107
28.
Find the values of x and y.
26.
Classify the triangle by its angle measures.
a.
b.
c.
d.
29. 60°, 30°, 90°
a. obtuse
b. right
c. acute
101, 89
121, 79
101, 99
101, 79
30. 25°, 65°, 90°
Classify the triangle by the lengths of its sides.
31.
a.
b.
c.
4
equilateral triangle
isosceles triangle
scalene triangle
Name: ________________________
ID: A
32. Name a right triangle.
Classify the polygon and tell if it is regular.
36.
33. Find the values of x, y, and z. (The figure may not
be drawn to scale.)
a.
b.
c.
d.
Trapezoid, not regular
Parallelogram, not regular
Trapezoid, regular
Rhombus, regular
37. Identify the true statement.
a. Every rectangle is a square.
b. Every parallelogram is a rectangle.
c. Every rhombus is a rectangle.
d. Every rectangle is a parallelogram.
38. Identify the true statement.
a. Every quadrilateral is a rectangle.
b. Every rectangle is a square.
c. Every rectangle is a rhombus.
d. Every square is a rectangle.
Use the clues to sketch and classify the polygon
described.
39. Identify the true statement.
a. Every rhombus is a square.
b. Every rectangle is a square.
c. Every square is a rhombus.
d. Every parallelogram is a rhombus.
34. This figure has four congruent sides. Not all of the
angles are congruent.
35. This figures opposite sides are parallel and
congruent. All of the angles are congruent.
40. Identify the true statement.
a. Every rectangle is a rhombus.
b. Every rhombus is a parallelogram.
c. Every rhombus is a square.
d. Every parallelogram is a rectangle.
Classify the polygon and tell if it is regular.
41.
5
Name: ________________________
ID: A
Find the measure of each side of the polygon
described.
42. A regular quadrilateral with a perimeter of
38.8 feet
43. A regular octagon with a perimeter of
720 kilometers
a. 120 km
b. 144 km
c. 90 km
d. 180 km
44. Which quadrilateral is a parallelogram?
a.
b.
c.
d.
6
ID: A
Packet Three.................................................Geometry - Part 2..............................................Unit One
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
acute
C
A
a. complementary
b. neither
c. supplementary
135º, 45º
74º, no complement
119
D
m∠7 = 60º, m∠8 = 120º, m∠9 = 60º
140º; Check students’ drawings.
∠WXV and ∠VXZ, ∠YXZ and ∠VXZ, ∠YXZ and ∠WXY, ∠WXV and ∠WXY
D
∠WXV and ∠YXZ, ∠WXY and ∠VXZ
a. 2, 4; 3, 1; 7, 5; 8, 6
b. 5, 4; 6, 1; 8, 3; 7, 2
D
B
B
40°
50°
50°
105º
D
63°
D
34
D
C
A
B
right
C
ABC
x = 88, y = 92, z = 64
Check students’ drawings. Rhombus
Check students’ drawings. Rectangle
B
D
D
C
1
ID: A
40.
41.
42.
43.
44.
B
Triangle; not regular, it is isosceles
9.7 feet
C
D
2