NAME
Teacher
Pre-AP/GT Geometry
Date
;. Cullum
Review
~^'( whether each transformation
v earsto
be a dilation.
Q.
1.
A(3, 0), 8(0, -2), C(-4, 0), D(0, 2);
scale factor: 3
5. In a video game, a character at (8, 3) moves three times, as
described by the translations shown at right. What is the
final position of the character after the three moves?
Move 1: (2, 7}
Move 2: (-10, -4)
Move 3: (1, -5}
6,0
6. The logo is translated along the vector
(8, 15). What are the coordinates of /??
7. ADEFis translated so that the image of E
has coordinates (0, 3). What is the image
of F after this translation?
D
Draw the image of the figure with the given
vertices under a dilation with the
given scale factor centered at the origin.
8. XI(2, -2), 6(2, 3), C(-3, 3), D(-3, -2);
scale factor: ^
9|. A pattern for a new fabric is made by
rotating the figure 90° counterclockwise
about the origin and then translating along
the vector (-1, 2). Draw the resulting
figure in the pattern.
Which shape^CANNOT be used to make
.JEafPjjKg tessellation?
Cf^feosceles right triangle
|4. The figure is a net of an octahedron.
Describe the symmetry of the net.
G rhombus
H trapezoid
/Jnegular pentagon
^ "»•*
Choose the best answer.
||
How many lines of symmetry does a
regular hexagon have?
A 3
/C)6
B 4
D 8
What is the order and angle of rotational
mmetry of a regular octagon?
45°
H 4; 90°
G 16; 45°
J 8; 90°
15. Which is a true statement about the figure
with vertices O(-2, -4), P.(0, 1), S(8, 1),
and 7(5, -4)?
A QRST has line symmetry only.
B QRST has rotational symmetry only.
C QRST has both line symmetry and
rotational symmetry.
Qf?S7has neither line symmetry nor
rotational symmetry.
12. Tell whether the
quilt block design ;
has rotational
symmetry. If so,
give the angle
of rotational
symmetry
and the order
of the symmetry.
|3.-
AflSTis reflected across a line so that
T has coordinates (1, 3). What are the
coordinates of S'?
/"^
16. AMA/Pwith vertices M(1, 5), A/(0, -3),
and P(-2, 2) is reflected across a line.
The coordinates of the reflection image
are M'(7, 5), N'(8, -3), and P(10, 2).
Over which line was AMA/P reflected?
A y=2
B x= 2
x =4
Ml
Describe the symmetry in the following graphs. If the figure has line symmetry,
draw all lines of symmetry. If the figure has rotational symmetry, give the angle
of rotational symmetry and the order of the symmetry.
— —-
—
|6 Tell whether the hemisphere has plane
symmetry, symmetry about an axis, both,
or neither.
. In a quilt pattern, a polygon with vertices
(3, -2), (7, -1), (9,-5), and (5,-6) is
translated repeatedly along the vector
{4, 5). What are the coordinates of the
third polygon in the pattern?
,,j. The Top of the World Restaurant in Las
Vegas, Nevada, revolves 360° in 1 hour and
20 minutes. A piano that is 38 feet from the
center of the restaurant starts at position
(38, 0). What are the coordinates of the
piano after 15 minutes? Round coordinates
to the nearest tenth if necessary.
Quadrilateral JLKVWhas vertices J(7, 9),
K(0, -4), L(2, 2), and M(5, -3). If the
figure is reflected across the line y = x,
what are the coordinates of M'?
&ABC is rotated about the origin so that
A' has coordinates (-1, -5). What are
the coordinates of £?'?
AA/PQhas vertices A/(-6, -4),
P(-3, 4), and O(1, 1). If the triangle is
rotated 90° counterclockwise about the
origin, what are the coordinates of P'?
(-V3)
3S./
Write the equation of the circle that
contains the points graphed below.
(--1
L-f- '',-Y-£-J
To create a logo for new sweatshirts, a
designer reflects the letter T across line h.
That image is then reflected across
line j. Describe a single transformation
that moves the figure from its starting
position to its final position.
•y
3)
,(3 4)
a
A translation
G 1,-! °), 0
X
;
.
B rotation of 110°
C rotation of 220°
D reflection across vertical line