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MATH1720HomeworkChapter1Section2

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Use the properties of angle measures to find the measure of each marked angle.

mc001-1.jpg
a = ( 2x  + 8)°
b = ( 4x  - 62)°
a.
35°,  35°
c.
55°,  55°
b.
-16°,  -16°
d.
78°,  78°
 

 2. 
Use the properties of angle measures to find the measure of each marked angle.

mc002-1.jpg
a = (x + 18)°
b = (x  + 118)°
a.
11°,  22°,  57°
c.
11°,  22°,  147°
b.
22°,  29°,  129°
d.
79°,  79°,  22°
 

 3. 
Use the properties of angle measures to find the measure of each marked angle.

mc003-1.jpg
a = ( 11x +  6)°, b = ( 2x +  148)°
a.
11°,  169°
c.
28°,  152°
b.
28°,  148°
d.
11°,  79°
 

 4. 
Use the properties of angle measures to find the measure of each marked angle.

mc004-1.jpg
a = ( 4x +  14)°, b = ( 5x +  31)°
a.
34°,  56°
c.
5°,  85°
b.
5°,  175°
d.
34°,  31°
 

 5. 
Use the properties of angle measures to find the measure of each marked angle.

Lines m and n are parallel.
mc005-1.jpg
a = (2x + 9)°
b = ( 3x  - 14)°
a.
23°,  23°
c.
-37°,  -37°
b.
67°,  67°
d.
55°,  55°
 

 6. 
Use the properties of angle measures to find the measure of each marked angle.
 Lines m and n are parallel.
mc006-1.jpg
a = (4x + 10)°
b = ( 5x  + 143)°
a.
87°,  93°
c.
3°,  177°
b.
8°,  172°
d.
22°,  158°
 

 7. 
Find the measure of the third angle of a triangle if the measures of the other two angles are given.
 40° and  80°
a.
-30°
c.
240°
b.
60°
d.
120°
 

 8. 
Find the measure of the third angle of a triangle if the measures of the other two angles are given.
 27° and  101°
a.
52°
c.
232°
b.
38°
d.
128°
 

 9. 
Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene.

mc009-1.jpg
a.
Acute, scalene
c.
Acute, equilateral
b.
Obtuse, isosceles
d.
Obtuse, equilateral
 

 10. 
Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene.

mc010-1.jpg
a.
Acute, scalene
c.
Obtuse, equilateral
b.
Obtuse, scalene
d.
Acute, isosceles
 

 11. 
Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene.

mc011-1.jpg
a.
Obtuse, scalene
c.
Obtuse, equilateral
b.
Acute, scalene
d.
Right, scalene
 

 12. 
Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene.

mc012-1.jpg
a.
Obtuse, equilateral
c.
Obtuse, scalene
b.
Acute, equilateral
d.
Right, scalene
 

 13. 
Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene.

mc013-1.jpg
a.
Obtuse, scalene
c.
Obtuse, equilateral
b.
Acute, equilateral
d.
Right, isosceles
 

 14. 
Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene.

mc014-1.jpg
a.
Obtuse, equilateral
c.
Acute, scalene
b.
Obtuse, isosceles
d.
Right, isosceles
 

 15. 
The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle.
 A
mc015-1.jpg
a.
C
c.
R
b.
T
d.
S
 

 16. 
The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle.
 B
mc016-1.jpg
a.
T
c.
R
b.
S
d.
C
 

 17. 
The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle.
 C
mc017-1.jpg
a.
C
c.
T
b.
R
d.
S
 

 18. 
The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle.
AC
mc018-1.jpg
a.
ST
c.
RT
b.
SR
d.
Cannot be determined
 

 19. 
The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle.
AC
(AB is parallel to DE.)
mc019-1.jpg
a.
Cannot be determined
c.
CD
b.
EC
d.
DE
 

 20. 
The triangles are similar. Find the missing side, angle or value of the variable.
 ?Q
mc020-1.jpg
a = 56°
b =  6 cm
a.
34°
c.
6 cm
b.
56°
d.
90°
 

 21. 
The triangles are similar. Find the missing side, angle or value of the variable.
 ?B
mc021-1.jpg
a = 7 cm
b = 65°
a.
7 cm
c.
65°
b.
85°
d.
30°
 

 22. 
The triangles are similar. Find the missing side, angle or value of the variable.
 ?Z.
mc022-1.jpg
m?A =  47°
a.
53°
c.
133°
b.
43°
d.
47°
 

 23. 
The triangles are similar. Find the missing side, angle or value of the variable.
 x
mc023-1.jpg
a =  25
b =  75
c =  52
a.
x =  26
c.
x =  52
b.
x =  39
d.
x =  13
 

 24. 
A tree casts a shadow  38 m long. At the same time, the shadow cast by a  37-centimeter-tall statue is  75 cm long. Find the height of the tree.
a.
17.2 m
c.
75.5 m
b.
77.0 m
d.
18.7 m
 

 25. 
Two quadrilaterals (four-sided figures) are similar. The lengths of the three longest sides of the first quadrilateral are  24 ft,  16 ft, and  12 ft. The lengths of the two shortest sides of the second quadrilateral are  18 ft and  9 ft. Find the unknown lengths of the sides of these two figures.
a.
Not enough information is provided.
b.
The unknown side in the first quadrilateral is  10 ft. The two unknown sides in the second quadrilateral are  27 ft and  24 ft.
c.
The unknown side in the first quadrilateral is  8 ft. The two unknown sides in the second quadrilateral are  36 ft and  12 ft.
d.
The unknown side in the first quadrilateral is  6 ft. The two unknown sides in the second quadrilateral are  36 ft and  24 ft.
 



 
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