Chapter 9 Practice Test
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30° angles.
1.Find the image of
after a rotation of 120° about point O.
F
R
G
2.Find the angle of rotation about O that maps F to Q.
3.Find the image of point P after a rotation of 240° about point M.
Q
H
a.
G b.
O c.
R d.
K
P
O
I
N
a.
4.Find the angle of rotation about O that maps
90° b.
240° c.
150° d.
to
.
120°
J
M
L
K
5. The vertices of a triangle are P(–3, 8), Q(–6, –4), and R(1, 1). Name the vertices of the image reflected in the xaxis.
6. Write a rule to describe the transformation that is a reflection in the y-axis.
7. P
(–5, –8) for the glide vector
and the reflection line y = –x. Find the coordinates of P.
8. The right figure is an isometry of the left figure. Tell whether their orientations are the same or opposite. Then
classify the isometry.
9. Which letter has at least one line of symmetry?
a. F
b. W
c. Z
d. S
10. Which letter has rotational symmetry?
a. S
b. D
c. L
d. U
11. Find the image of O(–1, –3) after two reflections, first in the line y = –2, and then in the line x = –2.
12. The dashed triangle is a dilation image of the solid triangle about the origin. What is the scale factor?
y
8
4
–8
–4
4
8
x
–4
–8
a.
b.
c.
d. 2
13. Which regular polygon can be used to form a tessellation? The sum of the measures of the angles of each polygon
is given.
a. octagon; 1080°
b. nonagon; 1260°
c. triangle; 180°
d. decagon; 1440°
14. Which type of isometry is the equivalent of two reflections across intersecting lines?
a. glide reflection
c. reflection
b. rotation
d. none of these
15. The point A(–7, 3) is translated onto by the vector =
. The coordinates of are _______.
16. Which objects exhibit rotational symmetry? Reflectional symmetry?
a.
c.
b.
d.
Short Answer
17. The figure shows a kitchen exhaust fan. Find the order and magnitude of the symmetry of the logo.
18. The dashed triangle is a dilation image of the solid triangle. Find the center and scale factor of the dilation.
y
8
4
–8
–4
4
8
x
–4
–8
19.
below is rotated counterclockwise 270° about the origin. Find the coordinates of the endpoints of the image
20. Name the series of reflections that would result in the same image as a figure rotated 180 about the origin.
21. For the line y=3x-7, what is the equation of the reflected image under each of the following circumstances:
a) reflected across the the line y=-x
b) reflected across the line y=-x
c) reflected across the x-axis
d) rotated 90 degrees about its y-intercept
22. Draw the image of
ABC under reflection in lines,
and m.
23. find the coordinates of point C (-5, 8) for each transformation listed below
.
24.
Triangle DEF has vertices of D(2, –3), E(-2, –1), and F(0,3). Graph this triangle.
Then, translate along
, reflect in the line y=x, then rotate 90 degrees clockwise. Graph this new image as
well. (You should have two triangles graphed on your paper) The graph is on the front of your answer sheet.
Also, please fill in the new coordinates.
25. The Montgomery Park officials plan to construct a concession stand beside an access road. They will also construct
asphalt pathways from the volleyball court and the tennis court to the concession stand. Describe how to determine
where the concession stand should be to minimize the amount of asphalt needed. Show on this diagram.
Volleyball
courts
Tennis courts
Access road