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Midterm Prep

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

 1. 
An airplane leaves a
runway heading due east then turns 31° to the right as shown in the figure.







How much more will the airplane have to turn to be heading due south?		mc001-1.jpg
a.
31°
b.
36°
c.
59°
d.
149°
 

 2. 
Angle 1 is a complement of angle 2. If mc002-1.jpg= (9x + 16)º and mc002-2.jpg = (12x – 52)º, what is the value of x and of mc002-3.jpg?
a.
x = 6, mc002-4.jpg = 70°
c.
x = 10.3, mc002-6.jpg = 108.6°
b.
x = 6, mc002-5.jpg = 20°
d.
x = 10.3, mc002-7.jpg= 71.4°
 

 3. 
The measures of some angles
are given in the figure.



What is the value of x?		mc003-1.jpg
a.
67°
b.
75°
c.
71°
d.
79°
 

 4. 
What are the measures of two complementary angles if the difference of their measures is 12°?
a.
39°, 51°
b.
43°, 48°
c.
84°, 96°
d.
88°, 93°
 

 5. 
A line segment has an endpoint at (3, 5).  If the midpoint of the line segment is (6, 3), what are the coordinates of the point at the other end of the line segment?
a.
(4.5, 4)
b.
(0, 7)
c.
(9, 2)
d.
(9, 1)
 

 6. 
Given H (–7, 7) and L (5, –6)

        
What is the length of mc006-1.jpg ?		mc006-2.jpg
a.
mc006-4.jpg
b.
mc006-5.jpg
c.
mc006-6.jpg
d.
mc006-7.jpg
 

 7. 
What are the apparent coordinates
of the midpoint of diagonal mc007-1.jpg?
mc007-2.jpg
a.
(–1.5, 1)
b.
(–1, –1.5)
c.
(–1, –1)
d.
(–1.5, –1)
 

 8. 
Let p represent                           mc008-1.jpg
and let q represent               z is a rational number.

Which choice is a representation of the statement below?

                            If mc008-2.jpg ¹ z, then z is a rational number.
a.
mc008-5.jpg
b.
mc008-6.jpg
c.
mc008-7.jpg
d.
mc008-8.jpg
 

 9. 
Statement: If lines are skew, then they are not coplanar..

What is the converse of the statement?
a.
If lines are not skew, then they are coplanar.
b.
If lines are not coplanar, then they are skew.
c.
If lines are skew, then they are coplanar.
d.
If lines are coplanar, then they are not skew.
 

 10. 
Which is the inverse of the statement, If I am in Richmond, then I am in Virginia?
a.
If I am not in Virginia, then I am not in Richmond.
b.
If I am not in Richmond, then I am not in Virginia.
c.
If I am not in Virginia, then I am in Richmond.
d.
If I am in Virginia, then I am in Richmond.
 

 11. 
Consider the following statement:             If mc011-1.jpg, then x = 4.
Which is the converse of the statement?
a.
If mc011-2.jpg, then mc011-3.jpg.
c.
If mc011-6.jpg, then mc011-7.jpg.
b.
If mc011-4.jpg, then mc011-5.jpg.
d.
If mc011-8.jpg, then mc011-9.jpg.
 

 12. 
Let x represent:        Angle E is right.
Let r represent:  Angle N is right.

Which is a symbolic representation of the following argument?
 Angle E is right if and only if Angle N is right.
 Angle E is right or Angle N is right.
 Therefore, Angle E is right and Angle N is right.
a.
 mc012-5.jpg
b.
mc012-6.jpg
c.
mc012-7.jpg
d.
mc012-8.jpg
 

 13. 
Which of the following groups of statements represents a valid argument?
a.
Given: All quadrilaterals have four sides.
            All kites have four sides.
Conclusion: All quadrilaterals are kites.
b.
Given: All squares have congruent sides.
            All rhombuses have congruent sides.
Conclusion: All rhombuses are squares.
c.
Given: All four sided figures are quadrilaterals.
            All trapezoids have four sides.
Conclusion: All trapezoids are quadrilaterals.
d.
Given: All rectangles have sides.
            All squares have sides.
Conclusion: All rectangles are squares.
 

 14. 
Using the information on the diagram,
which is true?mc014-1.jpg
a.
mc014-5.jpg
b.
mc014-6.jpg
c.
mc014-7.jpg
d.
mc014-8.jpg
 

 15. 
Line l intersects lines j, k, m, and n.









Which two lines are parallel?		mc015-1.jpg
a.
Line j and line k
b.
Line j and line m
c.
Line k and line n
d.
Line m and line n
 

 16. 
Given :  H(–9, 4) and G(–3, 5)                      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. 
Line n intersects lines p, q, r, and s,
forming the indicated angles.











Which two lines are parallel?		mc017-1.jpg
a.
p and q
b.
p and r
c.
q and r
d.
r and s
 

 18. 
In the drawing below, mc018-1.jpg and mc018-2.jpg are
mc018-3.jpg
a.
alternate interior angles
d.
a linear pair
b.
consecutive interior angles
e.
a vertical angle pair
c.
corresponding angles
f.
alternate exterior angles
 

 19. 
Lines w and x are cut by transversal y.








Which statement would prove w // x?		mc019-1.jpg
a.
mc019-3.jpg
c.
mc019-5.jpg
b.
mc019-4.jpg
d.
mc019-6.jpg
 

 20. 
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 mc020-1.jpg, what is mc020-2.jpg ?		mc020-3.jpg
a.
64º
b.
90º
c.
116º
d.
154º
 

 21. 
How many different lines of symmetry does a square have?
a.
1
b.
2
c.
3
d.
4
 

 22. 
Triangle U’V’W’ is:
mc022-1.jpg
a.
a translation of triangle UVW across the y-axis
b.
a reflection of triangle UVW across the origin
c.
a reflection of triangle UVW across the y-axis only.
d.
a reflection of triangle UVW across the x-axis only.
 

 23. 
Which of the following letters has only vertical line symmetry?
                                                  M    N    U    V
a.
M
b.
N
c.
U
d.
V
 

 24. 
Quadrilateral PFNV is shown.

   
If PFNV is reflected across the line mc024-1.jpg, what are the coordinates of F’ ?		mc024-2.jpg
a.
mc024-6.jpg
b.
mc024-7.jpg
c.
mc024-8.jpg
d.
mc024-9.jpg
 

 25. 
Hexagon DEFGHJ is apparently symmetric with respect to
mc025-1.jpg
a.
point N only.
c.
line y only.
b.
line z only.
d.
both lines y and z only.
 

 26. 
This figure is apparently
symmetric with respect to:mc026-1.jpg
a.
neither the x-axis nor the y-axis
c.
the y-axis only
b.
both the x-axis and the y-axis
d.
the x-axis only
 

 27. 
If parallelogram ABCD is translated so that
the new location of point D is (2, –4), what would be the new location of point B?mc027-1.jpg
a.
(–1, –4)
b.
(0, –2)
c.
(3, –2)
d.
(–2, –7)
 

 28. 
If mc028-1.jpg, which statement is always true?
a.
mc028-4.jpg
b.
mc028-5.jpg
c.
mc028-6.jpg
d.
mc028-7.jpg
 

 29. 
Which of the following could be the lengths of the sides of mc029-1.jpgQRS?
a.
QR = 11, RS = 18, QS = 5
c.
QR = 146, RS = 93, SQ = 53
b.
QR = 8, RS = 15, SQ = 4
d.
QR = 11, RS = 16, QS = 27
 

 30. 
Given:
Segment BD bisects AE at C  and
Angle BAC congruent to angle DEC
             
Which could be used to prove mc030-1.jpg?		mc030-2.jpg
 
a.
(ASA) If 2 angles and the side between them in one triangle are congruent to 2 angles and the side between them in another triangle, then the triangles are congruent
b.
(AAS) If 2 angles and a side not between them in one triangle are congruent to 2 angles and a side not between them in another triangle, then the triangles are congruent
c.
(SAS) If 2 sides and the angle between them in one triangle are congruent to 2 sides and the angle between them in another triangle, then the triangles are congruent
d.
(SSS) If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent.
 

 31. 
What value of x makes mc031-1.jpg?
mc031-2.jpg
a.
x = 10.7
b.
x = 4.7
c.
x = 5.5
d.
x = 5.2
 

 32. 
In the figure shown,






what is mc032-1.jpg?		mc032-2.jpg
a.
mc032-4.jpg
b.
mc032-5.jpg
c.
mc032-6.jpg
d.
mc032-7.jpg
 

 33. 
In the figure shown,
mc033-1.jpg.



Which statement is NOT necessarily true?		mc033-2.jpg
 
a.
mc033-3.jpg
c.
mc033-5.jpg
b.
mc033-4.jpg
d.
mc033-6.jpg
 

 34. 
Given the measures shown in the diagram, which two triangles are congruent?
mc034-1.jpg         mc034-2.jpg
a.
U and X
b.
B and P
c.
B and X
d.
U and P
 

 35. 
Which pipe lengths could be joined to form a triangle?
a.
8 ft, 4 ft, 3 ft
b.
20 ft, 10 ft, 7 ft
c.
13 ft, 12 ft, 5 ft
d.
16 ft, 7 ft, 7 ft
 

 36. 
Three boats are anchored in a bay.


Given the information in the diagram, which of the following statements concerning the distances between the boats is true? 		mc036-1.jpg
a.
JK < JL
b.
KL < JK
c.
JK < KL
d.
KL < JL
 

 37. 
On the shores of a river, surveyors
marked locations, U, V, and W.
The measure of mc037-1.jpg , and
the measure of mc037-2.jpg .

Which lists the distances between these locations in order, greatest to least?		mc037-3.jpg
a.
U to V, V to W, U to W
c.
U to V, U to W, V to W
b.
V to W, U to V, U to W
d.
U to W, U to V, V to W
 

 38. 
From shortest to longest,  
the sides of mc038-1.jpg are mc038-2.jpg
a.
mc038-8.jpg
b.
mc038-9.jpg
c.
mc038-10.jpg
d.
mc038-11.jpg
 

 39. 
Jill wants to make a triangular garden. Which of the following are possible dimensions?
a.
2 ft by 9 ft by 12 ft
c.
9 ft by 12 ft by 15 ft
b.
9 ft by 9 ft by 18 ft
d.
12 ft by 7 ft by 19 ft
 

 40. 
The locations of three water pumping stations
form a triangle on a map of the area. The distance from station X to station Y is 586yd yards. The distance from station Y to station Z is 700yd yards.





The distance from station X to station Z is 		mc040-1.jpg
a.
less than 114 yd
c.
between 114 m and 1,286 yd
b.
exactly 114 yd
d.
greater than 1,286 yd
 



 
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