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Ch 4 Gateway

 1. 

Which triangle is a
translation toward the origin
of triangle CDE?
mc001-1.jpg
A)
DJKL
B)
DMNP
C)
DFGH
D)
DQRS
 

 2. 

Which line of reflection maps point F at mc002-1.jpg to point F’ at mc002-2.jpg ?
A)
y = –2
B)
y = -x
C)
y = x
D)
x-axis
 

 3. 

Triangle F'G'H' is a transformation
of triangle FGH.

If mc003-1.jpgF', mc003-2.jpgG', and mc003-3.jpgH', mc003-4.jpgF'G'H' is a:
mc003-5.jpg
A)
reflection of DFGH across the line l
C)
translation of DFGH across the line l
B)
180° rotation of DFGH about point R
D)
90° rotation of DFGH across the line l
 

 4. 

If triangle KLM is reflected
across the y-axis to form triangle K’L’M’, what is the coordinate of K' ?
mc004-1.jpg
A)
(8, –3)
B)
(3, 8)
C)
(3, –8)
D)
(–3, –8)
 

 5. 

Triangle E’F’G’ is apparently:
 mc005-1.jpg
A)
a translation across the x-axis of triangle EFG
B)
reflection across the x-axis of triangle EFG
C)
a 90° clockwise rotation about the origin of triangle EFG
D)
reflection across the y-axis of triangle EFG
 

 6. 

How many different lines of symmetry does a regular hexagon have?
A)
1
B)
4
C)
5
D)
6
 

 7. 

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



Which point shows the location of Point S after a 180° clockwise rotation around the center?
mc007-1.jpg
A)
Q
B)
R
C)
P
D)
U
 

 8. 

Quadrilateral JKLM is symmetric
with respect to the y axis.








If the coordinates of K are (6, 1), what are the coordinates of M?
mc008-1.jpg
A)
(–6, –1)
B)
(–1, –6)
C)
(–6, 1)
D)
(–1, 6)
 

 9. 

Which is most likely a
line of symmetry for triangle RST ?mc009-1.jpg


A)
j
B)
k
C)
g
D)
h
 

 10. 

Quadrilateral WSJC is shown.

   
If WSJC is reflected across the line mc010-1.jpg, what are the coordinates of J’ ?
mc010-2.jpg
A)
mc010-6.jpg
B)
mc010-7.jpg
C)
mc010-8.jpg
D)
mc010-9.jpg
 

 11. 

All the vertices of the hexagon 
have integral coordinates.









One of the lines of symmetry for the hexagon goes through:
mc011-1.jpg
A)
(0, –5) and (4, 3)
C)
(4, 4) and (4, –5)
B)
(3, 3) and (3, –5)
D)
(2, 3) and (2, –5)
 

 12. 

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)
>90°
B)
>180°
C)
>360°
D)
>320°
 

 13. 

Which of the following letters has neither vertical or horizontal line symmetry?
                                                  E    Z    H    B
A)
H
B)
B
C)
E
D)
Z
 

 14. 

mc014-1.jpgUVW was obtained from mc014-2.jpgRST by
rotation about the point H


Which of the following indicates the correspondence of the vertices?
mc014-3.jpg
A)
R ® U, S ® V, T ® W
C)
R ® U, S ® W, T ® V
B)
R ® V, S ® W, T ® U
D)
R ® W, S ® U, T ® V
 

 15. 

Rectangle JKLM is placed
in a coordinate plane as shown.






Which equation describes a
line of symmetry for rectangle JKLM ?
mc015-1.jpg
A)
x = 4
B)
y = –2
C)
x = –2
D)
y = x
 

 16. 

The polygon A’B’C’D’E’ is
mc016-1.jpg
A)
a reflection of EFGHJ across the y-axis
C)
a translation of EFGHJ across the x-axis
B)
a reflection of EFGHJ across the x-axis
D)
a reflection across the orgin
 

 17. 

Issabelle is looking at plate designs. Which design has exactly 4 lines of symmetry?
A)
mc017-2.jpg
C)
mc017-4.jpg
B)
mc017-3.jpg
D)
mc017-5.jpg
 

 18. 

In relation the figure in the second quadrant, the other figure is apparently a
mc018-1.jpg
A)
reflection across the y-axis
B)
reflection across the x-axis
C)
translation across the x-axis
D)
90° counter-clockwise rotation about the origin
 

 19. 

What are the most likely
coordinates of mc019-1.jpg, if mc019-2.jpg is a reflection of mc019-3.jpg across the line y = x?mc019-4.jpg
A)
(2, –1)
B)
(1, –2)
C)
(1, 2)
D)
(–1, –2)
 

 20. 

This figure is apparently
symmetric with respect to:mc020-1.jpg
A)
the x-axis only
C)
both the x-axis and the y-axis
B)
the y-axis only
D)
neither the x-axis nor the y-axis
 

 21. 

Which transformation could move the
triangle H to triangle H’ in a single step?mc021-1.jpg
A)
Reflection over x = 4
C)
Translation
B)
Rotation about (2,3)
D)
Reflection over y = 4
 

 22. 

Given:  Triangle WKP with vertices located at        W(7, 1),  K(4, 2), and P(–5, –1). 
Triangle WKP will be reflected over the line mc022-1.jpg
What will be the integral coordinates of point W' after this transformation?
A)
mc022-5.jpg
B)
mc022-6.jpg
C)
mc022-7.jpg
D)
mc022-8.jpg
 

 23. 

Figure STARFIND is symmetric
with respect to the x-axis. The coordinates of point T are (8, 5).







What are the coordinates of point
D ?
mc023-1.jpg
A)
mc023-2.jpg
B)
mc023-3.jpg
C)
mc023-4.jpg
D)
mc023-5.jpg
 

 24. 

The hexagon in the drawing
has a line of symmetry through:mc024-1.jpg
A)
(0, –3) and (3, 1)
C)
(3, 2) and (3, –3)
B)
(2, 1) and (2, –3)
D)
(–1, –1) and (4, –1)
 

 25. 

Triangle RST was
transformed into Triangle R´S´T´.








Which term most accurately describes the transformation?
mc025-1.jpg
A)
Rotation
B)
Reflection
C)
Tessellation
D)
Translation
 



 
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