Name:     ID: 
 
Email: 

Cumulative Ch 4 Gateway

 1. 

The hexagon in the drawing
has a line of symmetry through:mc001-1.jpg
A)
(–1, –4) and (2, 0)
C)
(1, 0) and (1, –4)
B)
(–2, –2) and (3, –2)
D)
(2, 1) and (2, –4)
 

 2. 

Rectangle KLMN is placed
in a coordinate plane as shown.






Which equation describes a
line of symmetry for rectangle KLMN ?
mc002-1.jpg
A)
x = –1
B)
y = x
C)
y = –4
D)
y = –1
 

 3. 

Given:  Triangle ABC with vertices located at        A(1, 1),  B(2, -3), and C(-1, -4). 
Triangle ABC will be reflected over the line y = x
What will be the integral coordinates of point C' after this transformation?
A)
mc003-1.jpg
B)
mc003-2.jpg
C)
mc003-3.jpg
D)
mc003-4.jpg
 

 4. 

Which is the converse of the sentence, “If Ted leaves, then I will stay.”?
A)
If Ted does not leave, then I will not stay.
B)
If I do not stay, then Ted will not leave.
C)
If Ted leaves, then I will not stay.
D)
If I stay, then Ted will leave.
 

 5. 

Hexagon RSTUVW is apparently symmetric with respect to
mc005-1.jpg
A)
both lines n and p only.
C)
line n only.
B)
line p only.
D)
point Z only.
 

 6. 

Triangle P’Q’R’ is apparently:
 mc006-1.jpg
A)
a 90° clockwise rotation about the origin of triangle PQR
B)
a translation across the x-axis of triangle PQR
C)
reflection across the y-axis of triangle PQR
D)
reflection across the x-axis of triangle PQR
 

 7. 

When tiles fail to tesselate in a plane and have an overlap, what is true about the angle measure sum of the tiles surrounding a single point?
A)
>360°
B)
>180°
C)
>320°
D)
>90°
 

 8. 

Figure STARFIND is symmetric
with respect to the x-axis. The coordinates of point T are (11, 8).







What are the coordinates of point D ?
mc008-1.jpg
A)
mc008-2.jpg
B)
mc008-3.jpg
C)
mc008-4.jpg
D)
mc008-5.jpg
 

 9. 

Line b passes through points with coordinates (–5, 3) and (7, 9).
What is the slope of a line perpendicular to line b
A)
mc009-5.jpg
B)
mc009-6.jpg
C)
mc009-7.jpg
D)
mc009-8.jpg
 

 10. 

Which transformation could move the
triangle C to triangle C’ in a single step?mc010-1.jpg
A)
Rotation about (2,3)
C)
Translation
B)
Reflection over x = 4
D)
Reflection over y = 4
 

 11. 

A regular decagon has what type of symmetry?
A)
Point symmetry only
C)
Both point and line symmetry
B)
Neither point nor line symmetry
D)
Line symmetry only
 

 12. 

Angle 1 is a complement of angle 2. If mc012-1.jpg= (14x – 4)º and mc012-2.jpg = (10x – 2)º, what is the value of x and of mc012-3.jpg?
A)
x = 4, mc012-4.jpg = 38°
C)
x = 7.8, mc012-6.jpg= 75.5°
B)
x = 7.8, mc012-5.jpg = 104.5°
D)
x = 4, mc012-7.jpg = 52°
 

 13. 

Which line of reflection maps point M at mc013-1.jpg to point M’ at mc013-2.jpg ?
A)
y = –8
B)
x-axis
C)
y-axis
D)
y = x
 

 14. 

In relation the figure in the second quadrant, the other figure is apparently a
mc014-1.jpg
A)
90° counter-clockwise rotation about the origin
B)
reflection across the x-axis
C)
translation across the y-axis
D)
translation across the x-axis
 

 15. 

Which pair of angles is supplementary?
A)
mc015-1.jpg
C)
mc015-3.jpg
B)
mc015-2.jpg
D)
mc015-4.jpg
 

 16. 

DPQR was obtained from DLMN by
rotation about the point B


Which of the following indicates the correspondence of the vertices?
mc016-1.jpg
A)
L ® Q, M ® R, N ® P
C)
L ® P, M ® Q, N ® R
B)
L ® R, M ® P, N ® Q
D)
L ® P, M ® R, N ® Q
 

 17. 

Let p represent                         x2 = 9
  and let q represent                 x is not a whole number.
Which is a representation of the statement below?
     If x is a whole number, then  mc017-1.jpg
A)
mc017-4.jpg
B)
mc017-5.jpg
C)
mc017-6.jpg
D)
mc017-7.jpg
 

 18. 

Line j is parallel to line e
when the value of x is:


mc018-1.jpg
A)
21
B)
2
C)
11
D)
12
 

 19. 

In the design, a hexagon is
inscribed in a circle.



Which point shows the location of Point S after a 120° counter-clockwise rotation around the center?
mc019-1.jpg
A)
Q
B)
N
C)
P
D)
R
 

 20. 

Which of the following letters has only point symmetry?
                                                  U    V    S    D
A)
D
B)
U
C)
V
D)
S
 

 21. 

How many different lines of symmetry does a regular decagon have?
A)
9
B)
10
C)
1
D)
8
 

 22. 

The polygon A’B’C’D’E’ is
mc022-1.jpg
A)
a reflection of ABCDE across the y-axis
B)
a reflection across the orgin
C)
a translation of ABCDE across the x-axis
D)
a reflection of ABCDE across the x-axis
 

 23. 

If parallelogram ABCD is translated so that
the new location of point D is (0, –5), what would be the new location of point B?mc023-1.jpg
A)
(–3, –5)
B)
(1, –3)
C)
(–4, –8)
D)
(–2, –3)
 

 24. 

A parallelogram is located entirely in quadrant I. If this parallelogram is reflected across the x-axis, in which quadrant will the new parallelogram be located?
A)
III
B)
IV
C)
I
D)
II
 

 25. 

Which triangle is a
reflection across the origin
of triangle DEF?
mc025-1.jpg
A)
DKLM
B)
DRST
C)
DNPQ
D)
DGHJ
 



 
         Start Over