Name:     ID: 
 
Email: 

3rd Quarter SOL Review (Spring Parts Midterm Prep)

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

 1. 
Given:  mc001-1.jpg








  
Which relationship is true about mc001-2.jpg and mc001-3.jpg?		mc001-4.jpg
a.
They are equal in area.
c.
They are congruent.
b.
They are similar.
d.
They are equal in perimeter.
 

 2. 
Triangles JKL and NPQ are similar 
with measurements as shown.



What is the ratio  mc002-1.jpg?		mc002-2.jpg
a.
mc002-7.jpg
b.
mc002-8.jpg
c.
mc002-9.jpg
d.
mc002-10.jpg
 

 3. 
Two vehicles, each moving from a point in a
straight line away from each other at an angle, are 165 feet apart after 4 seconds. Both are moving at a constant rate, vehicle J at 55 feet per second and vehicle N at 55 feet per second.
                                                    
About how far apart are they after 20 seconds?		mc003-1.jpg
a.
825 ft
b.
198 ft
c.
165 ft
d.
1485 ft
 

 4. 
Line segments RT and SU
intersect at V, as shown in the figure.

mc004-1.jpg || mc004-2.jpg, UV = 12, SV = 15, and TV = 18.

What is the measure of mc004-3.jpg?		mc004-4.jpg
a.
14.4
b.
16.2
c.
22.5
d.
27
 

 5. 
Which triangle is similar to mc005-1.jpgXYZ?
 mc005-2.jpg
a.
mc005-3.jpg
c.
mc005-5.jpg
b.
mc005-4.jpg
d.
mc005-6.jpg
 

 6. 
When standing upright,
Kevin knows his eyes are 5.75 feet above ground level.  To determine the depth of a well, he stands in the position shown.








Using the given measures, how deep is the pit?		mc006-1.jpg
a.
10.54 ft
b.
8.54 ft
c.
11.5 ft
d.
14.25 ft
 

 7. 
Given:
mc007-1.jpg

Which is a true proportion?		mc007-2.jpg
a.
mc007-4.jpg
c.
mc007-6.jpg
b.
mc007-5.jpg
d.
mc007-7.jpg
 

 8. 
Triangles NPQ and XYZ are similar,
with the measurements in meters as shown. 

What is the perimeter of mc008-1.jpgXYZ?		mc008-2.jpg
a.
150 m
b.
102 m
c.
30 m
d.
90 m
 

 9. 
In addition to the information
given in the drawing, which statement would be sufficient to prove that mc009-1.jpgQRS ~ mc009-2.jpgUVWmc009-3.jpg
a.
QS = 18 and  RS = 42
c.
mc009-7.jpg
b.
mc009-6.jpg
d.
QS = 42 and RS = 18
 

 10. 
A rectangular place mat is similar
to the table upon which it is placed.


According to the diagram, which proportion can be used to determine the length of the table, l ?		mc010-1.jpg
a.
mc010-3.jpg
b.
mc010-4.jpg
c.
mc010-5.jpg
d.
mc010-6.jpg
 

 11. 
If mc011-1.jpg  is parallel to mc011-2.jpg,
what is LM, the width of the lake?mc011-3.jpg
a.
98 feet
b.
165 feet
c.
126 feet
d.
140 feet
 

 12. 
Which drawing contains a pair of similar triangles?
a.
mc012-1.jpg
c.
mc012-3.jpg
b.
mc012-2.jpg
d.
mc012-4.jpg
 

 13. 
Look at this triangle.

Which triangle is similar to the given triangle?		mc013-1.jpg
a.
mc013-3.jpg
c.
mc013-5.jpg
b.
mc013-4.jpg
d.
mc013-6.jpg
 

 14. 
The 10-foot bed of a dump truck loaded
with heavy stone must rise to an angle of 35° before the stone will spill out.

        mc014-1.jpg
        mc014-2.jpg
        mc014-3.jpg

Approximately how high must the front of the bed rise (x) to unload?		mc014-4.jpg
a.
5.7 ft
b.
8.2 ft
c.
7 ft
d.
5 ft
 

 15. 
The top of a ladder is leaning on a building at a point 13 feet above the ground; the bottom of the ladder is 8 feet from the base of the building. What is the length of the ladder to the nearest foot?
a.
21 ft
b.
5 ft
c.
13 ft
d.
15 ft
 

 16. 
From a point 22 feet from the base of a tower,
a wire is stretched to an attachment 51 feet up the tower.










To the nearest foot, how long is the wire?		mc016-1.jpg
a.
29 ft
b.
56 ft
c.
46 ft
d.
73 ft
 

 17. 
A 24-foot ladder leaning against a building
makes an angle of 60° with the ground.







How far from the base of the building is the foot of the ladder?		mc017-1.jpg
a.
20.8 ft
b.
6 ft
c.
10.4 ft
d.
12 ft
 

 18. 
A customer provided this diagram
of a garden to a fencing company.









What is the length of the unlabeled side?		mc018-1.jpg
a.
24 ft
b.
25 ft
c.
26 ft
d.
27 ft
 

 19. 
An airplane is 31 ground miles from
the end of the runway (GR) and 6 miles high (PG) when it begins its approach to the airport.


To the nearest mile, what is the distance (PR) from the airplane to the end of the runway?		mc019-1.jpg
a.
36 miles
b.
32 miles
c.
38 miles
d.
30 miles
 

 20. 
Which of the following sets of lengths can represent the measures of the sides of a right triangle?
a.
4, 5, 6
b.
5, 11, 13
c.
8, 11, 17
d.
9, 40, 41
 

 21. 
To determine the distance across a pond,
Joe made the measurements shown in the diagram.

        mc021-1.jpg
        mc021-2.jpg
        mc021-3.jpg

Which is closest to the distance from L to M?		mc021-4.jpg
a.
41.6 ft
b.
145.1 ft
c.
11 ft
d.
38.5 ft
 

 22. 
Using the measures shown, which triangle must be a right triangle?
a.
mc022-2.jpg
c.
mc022-4.jpg
b.
mc022-3.jpg
d.
mc022-5.jpg
 

 23. 
Mrs. Ammons is constructing a walkway
through her rectangular herb garden. The walkway runs diagonally as shown in the diagram.



Which is closest to the length of the walkway?		mc023-1.jpg
a.
26.0 ft
b.
32.0 ft
c.
13.9 ft
d.
23.0 ft
 

 24. 
For the triangle represented
by the drawing, what is the length of side mc024-1.jpg?mc024-2.jpg
a.
mc024-8.jpg
b.
mc024-9.jpg
c.
mc024-10.jpg
d.
mc024-11.jpg
 

 25. 
What is the length of mc025-1.jpg?
mc025-2.jpg
a.
11 mm
b.
15.81 mm
c.
9.38 mm
d.
18.76 mm
 

 26. 
mc026-1.jpg is a right triangle.






Which is closest to the length of mc026-2.jpg ?		mc026-3.jpg
a.
9
b.
23
c.
19
d.
42
 

 27. 
The hexagon in the drawing
has a line of symmetry through:mc027-1.jpg
a.
(–1, –5) and (2, –1)
c.
(1, –1) and (1, –5)
b.
(–2, –3) and (3, –3)
d.
(2, 0) and (2, –5)
 

 28. 
All the vertices of the hexagon 
have integral coordinates.









One of the lines of symmetry for the hexagon goes through:		mc028-1.jpg
a.
(7, 7) and (7, –1)
c.
(8, 8) and (8, –1)
b.
(6, 7) and (6, –1)
d.
(4, –1) and (8, 7)
 

 29. 
A parallelogram is located entirely in quadrant I. If this parallelogram is reflected across the origin, in which quadrant will the new parallelogram be located?
a.
I
b.
II
c.
III
d.
IV
 

 30. 
Which of the following letters has only horizontal line symmetry?
                                                  E    W    F    N
a.
E
b.
W
c.
N
d.
F
 

 31. 
Which polygon shown below has four lines of symmetry?
mc031-1.jpg
a.
Hexagon LMNPQR
c.
Square STUV
b.
Rectangle DEFG
d.
Triangle HJK
 

 32. 
The polygon A’B’C’D’E’ is
mc032-1.jpg
a.
a translation of MNPQR across the x-axis
c.
a reflection of MNPQR across the y-axis
b.
a reflection of MNPQR across the x-axis
d.
a reflection across the orgin
 

 33. 
This figure is apparently
symmetric with respect to:mc033-1.jpg
a.
the y-axis only
c.
the x-axis only
b.
neither the x-axis nor the y-axis
d.
both the x-axis and the y-axis
 

 34. 
mc034-1.jpgGHJ was obtained from mc034-2.jpgDEF by
rotation about the point C. 


Which of the following indicates the correspondence of the vertices?		mc034-3.jpg
a.
D ® G, E ® H, F ® J
c.
D ® H, E ® J, F ® G
b.
D ® G, E ® J, F ® H
d.
D ® J, E ® G, F ® H
 

 35. 
In the drawing:
Triangle P´Q´R´ is: mc035-1.jpg
a.
a reflection of triangle PQR across the y-axis
b.
a 180 counter-clockwise rotation of triangle PQR about the origin
c.
a reflection of triangle PQR across the x-axis
d.
a translation of triangle PQR across the y-axis
 

 36. 
Isosceles triangle NPQ has the measures shown.






What is the maximum number of different lines of symmetry that can be drawn through D NPQ?		mc036-1.jpg
a.
1
b.
0
c.
2
d.
3
 

 37. 
Triangle KLM was
transformed into Triangle K´L´M´.








Which term most accurately describes the transformation?		mc037-1.jpg
a.
Translation
b.
Reflection
c.
Rotation
d.
Tessellation
 

 38. 
Which line of reflection maps point Y at mc038-1.jpg to point Y’ at mc038-2.jpg ?
a.
x-axis
b.
y = 2
c.
y = -x
d.
y-axis
 

 39. 
Figure STARFIND is symmetric
with respect to the x-axis. The coordinates of point T are (8, 6).







What are the coordinates of point D ?		mc039-1.jpg
a.
mc039-2.jpg
b.
mc039-3.jpg
c.
mc039-4.jpg
d.
mc039-5.jpg
 

 40. 
A regular pentagon has what type of symmetry?
a.
Line symmetry only
c.
Both point and line symmetry
b.
Neither point nor line symmetry
d.
Point symmetry only
 



 
         Start Over