Version B
Geometry
Unit 12 Assessment
Transformations
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
1.Find the degree of rotation about the spinner center that maps label i to label g.
a. / 72° / b. / 108° / c. / 288° / d. / 36°2.Name the translation image of after a reflection over line t and then a reflection over liner.
a. / / b. / / c. / / d. /In the diagram, the dashed figure is the image of the solid figure.
3.Name the image of E.
a. / Q / b. / T / c. / R / d. / F4.Find the glide reflection image of the solid triangle for the glide of and reflection line .
a. / / c. /b. / / d. /
5. Which of these transformations are isometries?
(I) parallelogram EFGH parallelogram XWVU
(II) hexagon CDEFGH hexagon YXWVUT
(III) triangle EFG triangle VWU
a. / I, II, and III / b. / II and III only / c. / I only / d. / I and III only6.If the figure has rotational symmetry, find the angle of rotation about the center that results in an image that matches the original figure.
a. / 120° / b. / 210° / c. / no symmetry / d. / 90°7.LaKeesha was sitting in seat J1 at a soccer game when she discovered her ticket was for seat D4. Write a rule to describe the translation needed to put her in the proper seat.
a. / (x – 6, y + 3) / c. / (x – 6, y – 3)b. / (x + 6, y – 3) / d. / (x + 6, y + 3)
Name the type of symmetry for the figure.
8.
a. / rotational / c. / no symmetryb. / reflectional / d. / rotational and reflectional
9.Which translation from solid-lined figure to dashed-lined figure is given by the vector ?
a. / / c. /b. / / d. /
10.Which letter has rotational symmetry?
a. / U / b. / S / c. / L / d. / D11.A section of a tessellated plane is shown. Which types of symmetry does the tessellated plane have?
a. / reflectional and rotational symmetryb. / translational and rotational symmetry
c. / no symmetry
d. / translational, rotational, reflectional, and glide-reflectional symmetry
12.The right figure is an isometry of the left figure. Tell whether their orientations are the same or opposite. Then classify the isometry.
a. / opposite orientation; translationb. / opposite orientation; reflection
c. / same orientation; glide reflection
d. / same orientation; rotation
13.Identify as a reflection, translation, rotation, or glide reflection. Find the reflection line, translation vector, center and angle of rotation, or glide vector and reflection line.
a. / glide vector;<8, 0> and y = 4b. / rotation; 180° about (1, 4)
c. / rotation ; 180° about (–0.5, 0)
d. / reflection; x = 5
14.Describe in words the translation represented by the vector .
a. / 2 units to the left and 1 units downb. / 1 units to the right and 2 units down
c. / 2 units to the left and 1 units up
d. / 2 units to the right and 1 units down
15.The vertices of ABC are A(0, 3), B(5, 4), and C(4, –2). Find the coordinates of each vertex of ABC after a translation 6 units right and 10 units down. Write the answer as a matrix.
a. / / c. /b. / / d. /
16. Which drawing is the tessellation of the figure?
a. / / c. /b. / / d. / none of these
Student Produce Response
17.The dashed triangle is a dilation image of the solid triangle. Find the center and scale factor of the dilation.
Use scalar multiplication to find the image vertices for a dilation with center (0, 0) and the given scale factor.
18.; scale factor 2
19.Does the tessellation have reflectional symmetry? Explain.
20.In the diagram, the dashed figure is the image of the solid figure.
a.List all pairs of corresponding sides.
b.Name the image of point .
21.Is one flag a translation image of the other or a rotation image? Explain.
22.State whether the transformation appears to be an isometry. Explain.
Free Response
23.The endpoints of are A(0, 0) and B(6, 8).
a.Describe a transformation of that results in the image whose endpoints are and . Graph the preimage and image. Label all elements of the transformation on your graph.
b.What are the endpoints of the image of after a dilation whose scale factor is and whose center is ?
24.In the figure, is the image of after a reflection in line k.
a.Find and name two points that line k passes through.
b.Explain how you know that line k passes through those two points.
c.Graph line k and the point C(3, –2) and show its image as a reflection in line k.
Geometry - Unit 12 Assessment
Answer Section
MULTIPLE CHOICE
1.ANS:ADIF:L1REF:12-3 Rotations
2.ANS:CDIF:L1REF:12-4 Compositions of Reflections
3.ANS:CDIF:L1REF:12-1 Reflections
4.ANS:CDIF:L1REF:12-4 Compositions of Reflections
5.ANS:ADIF:L2REF:12-1 Reflections
6.ANS:ADIF:L1REF:12-5 Symmetry
7.ANS:ADIF:L1REF:12-2 Translations
8.ANS:ADIF:L1REF:12-5 Symmetry
9.ANS:DDIF:L2REF:12-2 Translations
10.ANS:BDIF:L1REF:12-5 Symmetry
11.ANS:DDIF:L1REF:12-6 Tessellations
12.ANS:BDIF:L1REF:12-4 Compositions of Reflections
13.ANS:ADIF:L2REF:12-4 Compositions of Reflections
14.ANS:DDIF:L1REF:12-2 Translations
15.ANS:ADIF:L1REF:12-2 Translations
16.ANS:CDIF:L1REF:12-6 Tessellations
SHORT ANSWER
17.ANS:
center: (0, 0); scale factor:
DIF:L1REF:12-7 Dilations
18.ANS:
(6, 6), (–4, –2), (2, –2), (0, 0)
DIF:L2REF:12-7 Dilations
19.ANS:
No; no reflection line exists that will map the figure onto itself.
DIF:L2REF:12-6 Tessellations
20.ANS:
a.
b.
DIF:L1REF:12-1 Reflections
21.ANS:
It’s a translation image. The flag has not been turned. The distance between each point on the preimage and its corresponding point on the image is the same.
DIF:L1REF:12-4 Compositions of Reflections
22.ANS:
No; they are the same shape but not the same size.
DIF:L1REF:12-1 Reflections
ESSAY
23.ANS:
[4] / a. reflection in the line y = 2x + 10 OR rotation about (3, 4)b. and
[3] / one element incomplete or mislabeled on graph
[2] / one incorrect transformation or description of transformation
[1] / no graph
DIF:L3REF:12-7 Dilations
24.ANS:
[4] / a. (0, –2) and (2, 0)b. The line that contains the two points is the perpendicular bisector of and .
c.
[3] / error in calculation of one coordinate of the two points on the line of reflection
[2] / only two parts correct
[1] / only one part correct
DIF:L3REF:12-1 Reflections