1. In the diagram, figure PMNO is the image of figure ABCD.
What is the name of the image of ?
(1 point)
(1 pt)
(0 pts)
(0 pts)
(0 pts)
1 /1 point
2.
Which image is the translation of given by the translation rule (x, y) → (x – 4, y + 2)? (1 point)
(0 pts)
(1 pt)
(0 pts)
(0 pts)
0 /1 point
3.
Use the diagram to answer the question that follows.
What is the image of C under the translation described by the translation rule (x, y) (x + 11, y – 8)?
(1 point)
(1 pt) D
(0 pts) B
(0 pts) E
(0 pts) A
0 /1 point
4. Use the diagram to answer the question that follows.
What is the translation rule that describes the translation B A?
(1 point)
(0 pts) (x, y) (x, y + 15)
(0 pts) (x, y) (x + 7, y + 2)
(0 pts) (x, y) (x – 4, y + 10)
(1 pt) (x, y) (x + 8, y + 14)
0 /1 point
5. The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A"er translation, R’ is the point (–
7, –8). What are the translation rule and coordinates of U’?
(1 point)
(0 pts) (x, y) (x + 2, y + 3); (–3, 4)
(0 pts) (x, y) (x + 2, y – 3); (–3, –2)
(1 pt) (x, y) (x – 2, y – 3); (–7, –2)
(0 pts) (x, y) (x – 2, y + 3); (–7, 4)
0 /1 point
6. What is the description of the translation represented by the translation rule (x, y) (x + 2, y + 2)? (1 point)
(0 pts) 2 units to the right and 2 units down
(1 pt) 2 units to the right and 2 units up
(0 pts) 2 units to the le" and 2 units up
(0 pts) 2 units to the le" and 2 units down
1 /1 point
7. Sarah was sitting in a seat at a baseball game when another ticket holder told her she was in the wrong
seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right.
Which rule describes the translation needed to put Sarah in the correct seat?
(1 point)
(0 pts) (x, y) → (x – 5, y + 3)
(0 pts) (x, y) → (x – 3, y – 5)
(0 pts) (x, y) → (x + 3, y + 5)
(1 pt) (x, y) → (x + 3, y – 5)
1 /1 point
8. Which translation rule describes the translation that is 2 units to the le" and 8 units up? (1 point)
(0 pts) (x, y) (x + 2, y – 8)
(0 pts) (x, y) (x – 2, y – 8)
(1 pt) (x, y) (x – 2, y + 8)
(0 pts) (x, y) (x + 2, y + 8)
1 /1 point
9. What is a rule that describes the translation ABCD A’B’C’D’? (1 point)
(0 pts) (x, y) (x + 6, y – 5)
(0 pts) (x, y) (x – 6, y + 5)
(0 pts) (x, y) (x – 5, y + 6)
(1 pt) (x, y) (x + 5, y – 6)
0 /1 point
10. Which translation rule describes the translation that is 7 units to the le" and 8 units up? (1 point)
(0 pts) (x, y) (x + 7, y + 8)
(1 pt) (x, y) (x – 7, y + 8)
(0 pts) (x, y) (x – 7, y – 8)
(0 pts) (x, y) (x + 7, y – 8)
1 /1 point
11. Which translation rule can be used to describe the result of the composition of (x, y) (x – 7, y + 7) and
(x, y) (x + 1, y – 6)?
(1 point)
(0 pts) (x, y) (x – 8, y + 13)
(0 pts) (x, y) (x – 6, y + 13)
(0 pts) (x, y) (x – 8, y + 1)
(1 pt) (x, y) (x – 6, y + 1)
0 /1 point
12. The vertices of a triangle are P(4, –6), Q(5, –6), and R(–2, 6). What are the vertices of the image reflected
across the line y = x?
(1 point)
(0 pts) P’(–6, –4), Q’(–6, –5), and R’(6, 2)
(1 pt) P’(–6, 4), Q’(–6, 5), and R’(6, –2)
(0 pts) P’(6, 4), Q’(6, 5), and R’(–6, –2)
(0 pts) P’(6, –4), Q’(6, –5), and R’(–6, 2)
1 /1 point
13. The vertices of a triangle are P(5, 7), Q(3, 4), and R(–2, 6). What are the vertices of the image reflected
across the x-axis?
(1 point)
(0 pts) P’(–5, 7), Q’(–3, 4), and R’(2, 6)
(0 pts) P’(5, 7), Q’(3, 4), and R’(2, 6)
(0 pts) P’(–5, –7), Q’(–3, –4), and R’(2, –6)
(1 pt) P’(5, –7), Q’(3, –4), and R’(–2, –6)
0 /1 point
14. The vertices of a triangle are P(8, 5), Q(–5, 8), and R(–4, 3). What are the vertices of the image reflected
across the y-axis?
(1 point)
(0 pts) P’(8, –5), Q’(–5, –8), and R’(–4, –3)
(1 pt) P’(–8, 5), Q’(5, 8), and R’(4, 3)
(0 pts) P’(8, 5), Q’(–5, 8), and R’(–4, 3)
(0 pts) P’(–8, –5), Q’(5, –8), and R’(4, –3)
0 /1 point
15. What is the image of O(1, 4) a"er two reflections, first across the line y = 4, and then across the line x = –2? (1 point)
(1 pt) (–5, 4)
(0 pts) (–2, 4)
(0 pts) (–1, 8)
(0 pts) (1, 4)
0 /1 point
16.
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30° angles.
What is the image of a"er a rotation of 180°?
(1 point)
(0 pts)
(1 pt)
(0 pts)
(0 pts)
1 /1 point
17. What is the degree of rotation about the spinner center that maps label j to label g? (1 point)
(0 pts) 216°
(0 pts) 180°
(1 pt) 108°
(0 pts) 144°
0 /1 point
18.
How many lines of symmetry does the figure have? (1 point)
(0 pts) 0
(0 pts) 6
(0 pts) 4
(1 pt) 5
1 /1 point
19. Determine whether the three-dimensional object has rotational symmetry about a line and/or
reflectional symmetry in a plane.
(1 point)
(1 pt) reflectional symmetry
(0 pts) no symmetry
(0 pts) rotational symmetry
(0 pts) reflectional and rotational symmetry
0 /1 point
20.
The dashed-line figure is a dilation image of the solid-line figure.
Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?
(1 point)
(1 pt) enlargement; 3
(0 pts) reduction;
(0 pts) reduction; 3
(0 pts) enlargement;
0 /1 point
21. A blueprint for a house has a scale of 1:50. A wall in the blueprint is 6 in. What is the length of the actual
wall?
(1 point)
(0 pts) 300 ".
(1 pt) 25 ".
(0 pts) 3,600 ".
(0 pts) 25 in.
0 /1 point
22. A microscope shows an image of an object that is 30 times the object’s actual size. So, the scale factor of
the enlargement is 30. An insect has a body length of 3 millimeters. What is the body length of the insect
under the microscope?
(1 point)
(1 pt) 90 millimeters
(0 pts) 9 millimeters
(0 pts) 900 millimeters
(0 pts) 90 centimeters
1 /1 point
23. The zoom feature on a camera lens allows you to dilate what appears on the display. When you change
from 100% to 300%, the new image on your screen in an enlargement of the original image with a scale
factor of 3. If the new image is 24 millimeters wide, what was the width of the original image?
(1 point)
(1 pt) 8 millimeters
(0 pts) 16 millimeters
(0 pts) 36 millimeters
(0 pts) 63 millimeters
0 /1 point
24. Determine whether ABC JGH is a reflection, translation, rotation, or glide reflection.
What is the reflection line, translation rule, center and angle of rotation, or glide translation rule and
reflection line?
(1 point)
(1 pt) rotation; 180° about (–0.5, 0)
(0 pts) glide reflection; translate 8 units to the right, and then reflect across the line y = 4.
(0 pts) reflection; x = 5
(0 pts) rotation; 180° about (1, 4)