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SOL-1 Practice test

 1. 
Let p represent:
         Two angles are vertical angles.
Let q represent:
         The angles are congruent.

What is the symbolic representation of the following statement?
     If two angles are not congruent, then the angles are not vertical angles.
A)
mc001-1.jpg
B)
mc001-2.jpg
C)
mc001-3.jpg
D)
mc001-4.jpg
 

 2. 
Tammie is drawing the
perpendicular bisector of mc002-1.jpg.
          

Which point is on the perpendicular bisector of mc002-2.jpg?		mc002-3.jpg
A)
L
B)
S
C)
Y
D)
B
 

 3. 
In this figure, parallel lines b and n
are intersected by line k.
                    
Which pair of angles is NOT supplementary?		mc003-1.jpg
A)
mc003-2.jpg and mc003-3.jpg
B)
mc003-4.jpg and mc003-5.jpg
C)
mc003-6.jpg and mc003-7.jpg
D)
mc003-8.jpg and mc003-9.jpg
 

 4. 
What type of construction
is illustrated in the figure?mc004-1.jpg
             
A)
The bisection of mc004-3.jpg
C)
An angle congruent to mc004-5.jpg
B)
The bisection of mc004-4.jpg
D)
A line segment congruent to mc004-6.jpg
 

 5. 
The Venn diagram represents students
who play instruments in the orchestra.
                          
Identify each region of the Venn diagram that represents students who play only the tuba and the clarinet.		mc005-1.jpg
A)
5, 6, 10
B)
6
C)
none
D)
5, 10
 

 6. 
An angle congruent to 
angle T is being constructed.
       
    
Which ray could be drawn to construct an angle congruent to mc006-1.jpg ?		mc006-2.jpg
A)
mc006-3.jpg
B)
mc006-4.jpg
C)
mc006-5.jpg
D)
mc006-6.jpg
 

 7. 
Which is a valid conclusion that can be drawn from these statements?

If a quadrilateral is a rectangle, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite sides are congruent.
A)
Every quadrilateral is a rectangle.
B)
Every parallelogram is a rectangle.
C)
Opposite sides of a rectangle are congruent.
D)
Opposite sides of a quadrilateral are congruent.
 

 8. 
Which diagram shows a pair of angle measures that prove lines q and l are parallel?
A)
mc008-1.jpg
C)
mc008-3.jpg
B)
mc008-2.jpg
D)
mc008-4.jpg
 

 9. 
This figure show parallel
stair railings through points H, U, R, and F.
                         
What is the value of x ?		mc009-1.jpg
A)
27
B)
45
C)
63
D)
117
 

 10. 
What is the inverse of the following statement?

If the measure of an angle is 90º, then it is a right angle.
A)
If the measure of an angle is not 90º, then it is not a right angle.
B)
If it is not a right angle, then the measure of an angle is not 90º.
C)
If it is a right angle, then the measure of an angle is 90º.
D)
If the measure of an angle is not 90º, then it is a right angle.
 

 11. 
Given E (–3, 9) and T (7, –9)

        
What is the length of mc011-1.jpg ?		mc011-2.jpg
A)
mc011-4.jpg
B)
mc011-5.jpg
C)
mc011-6.jpg
D)
mc011-7.jpg
 

 12. 
Line g contains the points
(–6, 7) and (6, –1). 



Plot a point other than point S with integral coordinates that is on a line parallel to g and passes through point S.		mc012-1.jpg
                    
A)
(–9, 2)
B)
(–8, 2)
C)
(–9, 1)
D)
(–10, 2)
 

 13. 
Which best describes
the construction in the diagram shown?mc013-1.jpg
               
A)
The bisector of a line segment
B)
A line segment congruent to a given line segment
C)
A perpendicular to a given line at a point on the line
D)
A perpendicular to a given line from a point not on the line
 

 14. 
Quadrilateral WSJC is shown.

   
If WSJC is reflected across the line mc014-1.jpg, what are the coordinates of J’ ?		mc014-2.jpg
A)
mc014-6.jpg
B)
mc014-7.jpg
C)
mc014-8.jpg
D)
mc014-9.jpg
 

 15. 
Line d and m are cut by a transversal

   
What value of x proves that d // m ?


mc015-1.jpg
mc015-2.jpg
A)
49
B)
50
C)
40
D)
59
 

 16. 
Given :  X(–9, –3) and E(–5, –1)                      What is the slope of mc016-1.jpg?
A)
mc016-4.jpg
B)
mc016-5.jpg
C)
mc016-6.jpg
D)
mc016-7.jpg
 

 17. 
For which polygon are both mc017-1.jpg and mc017-2.jpg lines of symmetry?
A)
mc017-3.jpg
C)
mc017-5.jpg
B)
mc017-4.jpg
D)
mc017-6.jpg
 

 18. 
The figure represents a ramp
with handrails. 
Segments HJ and LM are parallel to PQ. 
Segments JK and MN are parallel to QR. 
Segments HP and JQ are parallel to KR.

                     
If mc018-1.jpg, what is mc018-2.jpg ?		mc018-3.jpg
A)
64º
B)
90º
C)
116º
D)
154º
 

 19. 
Nori attached a wire
between two poles on a hill as shown.
           
Which is closest to x, the distance between the two poles?		mc019-1.jpg
A)
48 yd
B)
52 yd
C)
114 yd
D)
126 yd
 

 20. 
Triangles KRQ, KEQ, and FRQ
are show on the coordinate grid, and all the vertices have coordinates that are integers.
            
Which statement is true?		mc020-1.jpg
A)
No two triangles are congruent.
B)
Only mc020-2.jpg and mc020-3.jpg are congruent.
C)
Only mc020-4.jpg and mc020-5.jpg are congruent.
D)
Triangle KRQ, mc020-6.jpg, and mc020-7.jpg are all congruent
 

 21. 
The lengths of two sides of a triangle are 22 feet and 49 feet.  What is the range of possible lengths, in feet, for the third side, x, of this triangle?
                                                 mr021-1.jpg
 A)
17
 C)
36
 E)
41
 G)
71
 B)
27
 D)
42
 F)
81
 H)
93
 

 22. 
Which of the following sets of lengths can represent the measures of the sides of a right triangle?
A)
4, 5, 6
B)
5, 7, 13
C)
8, 12, 17
D)
24, 32, 40
 

 23. 
Given the measures shown in the diagram, which two triangles are congruent?
mc023-1.jpg         mc023-2.jpg
A)
K and L
B)
R and M
C)
R and L
D)
K and M
 

 24. 
Part of a marching band formed by a triangle made with cornet players on one side, oboe players on one side, and clarinet players on the third side.
     •  The angle formed by the cornet and clarinet players measured 47º
     •  The angle formed by the clarinet and oboe players measured 67º
Which orders the sides of this triangle from least to greatest using the instrument names?
A)
oboe, cornet, clarinet
C)
cornet, clarinet, oboe
B)
oboe, clarinet, cornet
D)
clarinet, cornet, oboe
 

 25. 
An equilateral triangle is folded in half.


What is x, the height of the equilateral triangle?		mc025-1.jpg
A)
mc025-5.jpg yd
B)
18 yd
C)
mc025-6.jpg yd
D)
9 yd
 

 26. 
Look at this triangle.

Which triangle is similar to the given triangle?		mc026-1.jpg
A)
mc026-2.jpg
C)
mc026-4.jpg
B)
mc026-3.jpg
D)
mc026-5.jpg
 

 27. 
Click and drag each selected reason to the correct box
Given:  Figure VJUZ with diagonal mc027-1.jpg
            mc027-2.jpg; mc027-3.jpg

Complete the proof of mc027-4.jpg by selecting the reasons for the last two statements.		mc027-5.jpg

Statements
Reasons
 
mc027-6.jpg

mc027-7.jpg


Given
 


mc027-8.jpg
  


mc027-9.jpg
  
A)
Given and SSS
E)
Reflexive and SAS
B)
Dfn of congruent triangles and HL
F)
Given and Dfn of congruent triangles
C)
Reflexive and SSS
G)
Reflexive and HL
D)
Given and SAS
H)
Dfn of congruent triangles and SSS
 

 28. 
A spectator is viewing the six cars
of a roller coaster as it travels down a hill at an amusement park.
                      
Which is the closest to the total length of the six cars?		mc028-1.jpg
A)
14.4 ft
B)
16.0 ft
C)
25.0 ft
D)
39.9 ft
 

 29. 
Which could be the lengths of three sides of a triangle?
A)
16 cm, 10 cm, 6 cm
C)
18 cm, 21 cm, 19 cm
B)
22 cm, 11 cm, 8 cm
D)
30 cm, 18 cm, 11 cm
 

 30. 
Three triangles that do not overlap
are shown on the coordinate grid.  The coordinates of all vertices are integers.


                 
Which statement is true?		mc030-1.jpg
A)
mc030-2.jpg
B)
mc030-3.jpg
C)
mc030-4.jpg
D)
mc030-5.jpg
 

 31. 
Using the information given,
which congruence postulate or theorem can be used to prove that mc031-1.jpg ?mc031-2.jpg
A)
Hypotenuse-Leg Theorem
C)
Side-Angle-Side Postulate
B)
Side-Side-Side Postulate
D)
Angle-Side-Angle Postulate
 

 32. 
Given:  W lies on mc032-1.jpg and U lies on mc032-2.jpg

     
Which condition proves mc032-3.jpg ?		mc032-4.jpg
A)
mc032-5.jpg
C)
mc032-7.jpg
B)
mc032-6.jpg
D)
mc032-8.jpg
 

 33. 
Given:  Parallelogram GDPL where
mc033-1.jpg and mc033-2.jpg.
                            
What value of x proves this parallelogram is a rhombus?		mc033-3.jpg

mc033-4.jpg
A)
28
B)
15
C)
14
D)
–28
 

 34. 
The cross-section for a wooden beam
is modeled by the composite of the regular pentagon and triangle shown.

What is closest to the measure of mc034-1.jpg ?		mc034-2.jpg
A)
158º
B)
168º
C)
163º
D)
178º
 

 35. 
Given:  Circle E with center at (–6, –5)
What equation could represent circle E?
A)
mc035-4.jpg
C)
mc035-6.jpg
B)
mc035-5.jpg
D)
mc035-7.jpg
 

 36. 
This container is composed
of a right circular cylinder and a right circular cone.
                            
Which is closest to the surface area of the contianer?		mc036-1.jpg
A)
1175 cm²
B)
1935 cm²
C)
2315 cm²
D)
1555 cm²
 

 37. 
Given:  Circle F


What is the value of y?		mc037-1.jpg
A)
39
B)
49
C)
88
D)
92
 

 38. 
A tablet computer box in the shape of a rectangular
prism is shown. The height of the box is 3 cm.

The height of the original box will be increased by 2.5 centimeters so a new instruction manual and an extra battery can be included.  Which is closest to the total surface area of the new box?		mc038-1.jpg
A)
515.5 in²
B)
543 in²
C)
567 in²
D)
681 in²
 

 39. 
Parallelogram GYWH is a
rhombus with mc039-1.jpg

What is the mc039-2.jpg ?		mc039-3.jpg
A)
35°
B)
55°
C)
110°
D)
145°
 

 40. 
Circle L has a center at (–5, 6) and a diameter of 10 units.  Which point lies on circle L?
A)
(–9, 3)
B)
(–5, 6)
C)
(1, 14)
D)
(5, 16)
 

 41. 
An architect used this diagram to
design a curved balcony.  She drew a circle with a radius of 38 feet and a central angle of 66° to determine the length of railing needed for the balcony.

Which is the closest to the length of railing needed for the curved section of the balcony?		mc041-1.jpg

A)
22 ft
B)
44 ft
C)
239 ft
D)
832 ft
 

 42. 
A polygon is shown:


What is the measure of mc042-1.jpg ?		mc042-2.jpg
A)
64°
B)
90°
C)
116°
D)
232°
 

 43. 
The volume of a cube is 27 cubic inches.  What is the surface area of the cube?
A)
9 in²
B)
54 in²
C)
81 in²
D)
162 in²
 

 44. 
Given: Circle A

             
Which is the closest to the area of the shaded sector of circle A ?		mc044-1.jpg
A)
26 mm²
B)
143 mm²
C)
238 mm²
D)
380 mm²
 

 45. 
The diagonals of rectangle USDX intersect
at the point (0, 4).  One of the vertices of the rectangle USDX is located at (–8, 8).
            
Which of the following could be the location of another vertex of this rectangle?		mc045-1.jpg
A)
(8, 0)
B)
(–4, 6)
C)
(0, 8)
D)
(0, 0)
 

 46. 
The ratio of the lengths of the radii of two sphere is 4:7.  What is the ratio of the volumes of these two spheres?
                        mr046-1.jpg
 A)
1
 C)
7
 E)
28
 G)
64
 B)
4
 D)
16
 F)
49
 H)
343
 

 47. 
This figure is composed of
an isosceles trapezoid and a regular octagon.
        
What is the value of x ?		mc047-1.jpg
A)
103
B)
109
C)
116
D)
167
 

 48. 
Click on the grid to plot the point you want to select.

Plot the center of the circle defined by the equation:          mc048-1.jpg		mc048-2.jpg
A)
(7, 8)
B)
(–7, –8)
C)
(–7, 8)
D)
(7, –8)
 

 49. 
A rectangular pyramid is shown.

      
What is the volume of the pyramid?		mc049-1.jpg
A)
2244 cm³
B)
1122 cm³
C)
748 cm³
D)
204 cm³
 

 50. 
A company is creating a new cylinderical container to replace its original cylindrical container.
     •  The new container will have 25 times the volume of the original container.
     •  The height of the new container will remain the same as the height of the original container.
The length of the radius of the new container will be --
A)
5 times the length of the radius of the original container
B)
25 times the length of the radius of the original container
C)
125 times the length of the radius of the original container
D)
625 times the length of the radius of the original container
 



 
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