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Midterm Prep (Fall Parts Geometry)

 1. 

What are the apparent coordinates
of the midpoint of diagonal mc001-1.jpg?
mc001-2.jpg
A)
(1, 0.5)
B)
(1, 1)
C)
(0.5, 1)
D)
(0.5, –1)
 

 2. 

The distance between the points (–8, 3) and (8, –9) is:
A)
400
B)
mc002-3.jpg
C)
28
D)
mc002-4.jpg
 

 3. 

The measures of some angles
are given in the figure.



What is the value of x?
mc003-1.jpg
A)
76°
B)
69°
C)
60°
D)
67°
 

 4. 

The Department of Transportation
wants to extend the intersecting road across the highway, as indicated by the dotted line.




What should x be to ensure that the intersecting road and the new construction form a straight line?
mc004-1.jpg
A)
99°
B)
61°
C)
119°
D)
29°
 

 5. 

The coordinates of the midpoint of  mc005-1.jpg are:
mc005-2.jpg
A)
(2, 5)
B)
(5, 3)
C)
mc005-4.jpg
D)
mc005-5.jpg
 

 6. 

The coordinates of the midpoint of mc006-1.jpg are (1, 6), and the coordinates of A are (–7, 9). What are the coordinates of B?
A)
(9, 3)
B)
(–15, 12)
C)
(9, 3)
D)
(–3, 7.5)
 

 7. 

A line segment has an endpoint at (–5, –2).  If the midpoint of the line segment is (1, –4), what are the coordinates of the point at the other end of the line segment?
A)
(7, –6)
B)
(–11, 0)
C)
(–2, –3)
D)
(7, 2)
 

 8. 

Parallelogram ABCD is placed
on a coordinate grid as shown.










What is the approximate length of diagonal mc008-1.jpg?
mc008-2.jpg
A)
10.6 units
B)
16.0 units
C)
9.9 units
D)
7.0 units
 

 9. 

In the figure shown,
mc009-1.jpg = (7x + 5)° and
mc009-2.jpg = (4x + 30)°.








What is mÐ 1 ?
mc009-3.jpg
A)
40°
B)
56°
C)
50°
D)
35°
 

 10. 

In the diagram,
mc010-1.jpg = (8x + 12)° and
mc010-2.jpg = (4x + 27)°

Which is closest to the value of x?
mc010-3.jpg
A)
18.3
B)
3.8
C)
11.8
D)
9.8
 

 11. 

P(–7,4), Q(–3,6), R(4,0), and S(–8,–6)
are connected to form a trapezoid.













What is the midpoint of mc011-1.jpg?
mc011-2.jpg
A)
(–4, –5)
B)
(–1, –3.5)
C)
(–2, –3)
D)
(0, –3)
 

 12. 

What is the slope of the line through (–2, –7) and (–7, 4) ?
A)
mc012-3.jpg
B)
mc012-4.jpg
C)
mc012-5.jpg
D)
mc012-6.jpg
 

 13. 

Line a is parallel to line g
when the value of x is:


mc013-1.jpg
A)
13
B)
3
C)
14
D)
24
 

 14. 

Line t intersects lines j, k, m, and n.









Which two lines are parallel?
mc014-1.jpg
A)
Line j and line m
B)
Line k and line n
C)
Line m and line n
D)
Line j and line k
 

 15. 

In the figure, lines c and d are
cut by the transversal i forming the angles shown.





mc015-1.jpg
and mc015-2.jpg are
mc015-3.jpg
A)
Consecutive interior angles
C)
Vertical angles
B)
Alternate exterior angles
D)
Corresponding angles
 

 16. 

Which two points determine a line
parallel to line mc016-1.jpg?mc016-2.jpg
A)
(-1,-1) and (-2,-3)
C)
(1,4) and (5,2)
B)
(1,1) and (2,-1)
D)
(2,1) and (-2,-1)
 

 17. 

Line z is parallel to line a
when the value of x is:


mc017-1.jpg
A)
16
B)
25
C)
15
D)
26
 

 18. 

What is most likely the
slope of the line graphed?mc018-1.jpg
A)
mc018-4.jpg
B)
mc018-5.jpg
C)
mc018-6.jpg
D)
mc018-7.jpg
 

 19. 

Line m contains points (1, -3) and (2, 2). Which of the following pairs of points define a line perpendicular to line m?
A)
(1, 1) and (6, 2)
C)
(0, 0) and (1, 5)
B)
(-4, 0) and (-5, -5)
D)
(0, 0) and (-5, 1)
 

 20. 

Given: mc020-1.jpg






Which must be true if y || z?
mc020-2.jpg
A)
mc020-4.jpg
B)
mc020-5.jpg
C)
mc020-6.jpg
D)
mc020-7.jpg
 

 21. 

In each of the following figures, transversal u cuts lines s and t.
In which figure are mc021-1.jpg alternate interior angles?
A)
mc021-3.jpg
C)
mc021-5.jpg
B)
mc021-4.jpg
D)
mc021-6.jpg
 

 22. 

In the figure below



mc022-1.jpg
and mc022-2.jpg are a pair of:
mc022-3.jpg
A)
Consecutive interior angles
C)
Vertical angles
B)
Alternate interior angles
D)
Alternate exterior angles
 

 23. 

Line m contains points (1, -3) and (2, 2). Which of the following pairs of points define a line parallel to line m?
A)
(-4, 0) and (5, 5)
C)
(0, 0) and (1, 5)
B)
(0, 0) and (-1, 1)
D)
(1, 1) and (6, 2)
 

 24. 

Which diagram shows a pair of angle measures that prove lines q and z are parallel?
A)
mc024-1.jpg
C)
mc024-3.jpg
B)
mc024-2.jpg
D)
mc024-4.jpg
 

 25. 

The polygon in the drawing
is a regular octogon with O
as its center.


What is the value of x?
mc025-1.jpg
A)
30°
B)
72°
C)
45°
D)
40°
 

 26. 

Which of the following quadrilaterals could have diagonals that are congruent and bisect each other?
A)
A trapezoid
B)
A rhombus
C)
A parallelogram
D)
A rectangle
 

 27. 

Each exterior angle of a certain regular polygon measures mc027-1.jpg. How many sides does the polygon have?
A)
9
B)
6
C)
5
D)
8
 

 28. 

Figure RSTU is a rectangle.
mc028-1.jpg and mc028-2.jpg are diagonals.
                      
mc028-3.jpg = 46 yards and mc028-4.jpg = 27 yards.

What is the length of mc028-5.jpg?
mc028-6.jpg
A)
37.2 yd
B)
27 yd
C)
19 yd
D)
23 yd
 

 29. 

In the drawing, a regular polygon
is partially covered by the trapezoid.







How many sides does the covered polygon have?
mc029-1.jpg
A)
4
B)
7
C)
5
D)
6
 

 30. 

If CDEF is a parallelogram,
what are the coordinates of D?

mc030-1.jpg
   
A)
(9, 7)
B)
(10, 6)
C)
(10, 13)
D)
(6, 10)
 

 31. 

Given quadrilateral BTRW,
what is the value of x?

mc031-1.jpg
A)
32.2
B)
34.2
C)
30.2
D)
40.25
 

 32. 

If each interior angle of a regular polygon measures 135°, how many sides does the polygon have?
A)
7
B)
8
C)
10
D)
9
 

 33. 

Figure ABCDEF is a regular hexagon. 


What is the measure of mc033-1.jpg?
mc033-2.jpg
A)
90°
B)
60°
C)
120°
D)
45°
 

 34. 

The polygon shown is convex.






The sum of its interior angle measures is:
mc034-1.jpg
A)
720°
B)
1260°
C)
900°
D)
1080°
 

 35. 

Quadrilateral RSTU is a parallelogram.
Which of the following must be true?mc035-1.jpg
A)
mc035-3.jpg
B)
mc035-4.jpg
C)
mc035-5.jpg
D)
mc035-6.jpg
 

 36. 

One exterior angle of a regular polygon measures 18°. What is the measure of one interior angle?
A)
162°
B)
152°
C)
72°
D)
360°
 

 37. 

This is a regular polygon.





What are the values of x and y ?
mc037-1.jpg
A)
72°, 108°
B)
45°, 135°
C)
40°, 140°
D)
60°, 120°
 

 38. 

For a regular polygon with six sides, each interior angle has a measure of
A)
60°
B)
120°
C)
135°
D)
720°
 

 39. 

Which of the following quadrilaterals is not a parallelogram?
A)
Square
B)
Kite
C)
Rhombus
D)
Rectangle
 

 40. 

Which figure has all angles of equal measure but not necessarily all sides of equal measure?
A)
Rectangle
B)
Trapezoid
C)
Rhombus
D)
Square
 



 
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