Chapter 9 Final Review
1. Janet would like to enlarge a photograph to fill a page in her album. The photograph measures 3 inches by 5 inches.
What is the greatest scale factor she can use if the album measures 8.5 inches by 11 inches?
2. The function notation
describes the rotation of how many degrees about the origin?
3. Bonus A triangle has vertices (2, 5), (3, 7), and (7, 5). After a reflection and a translation, the coordinates of the image
are (7, –2), (8, –4), and (12, –2). Describe the transformation.
4. Draw a translation of the figure along the vector
.
5. Find the value of y.
6. A band of sequins that measures 108 inches is cut into two pieces so that their lengths are in a 5:7 ratio. Find the length
of each piece.
7. Find
to the nearest degree in right
8. The endpoints of
for M(3, 6), N(3, –8), and P(–5, –8).
are X(–2, 3) and Y(7, 4). The segment is translated along the vector
x-axis. What is the coordinate of
and then reflected in the
?
9. Triangle ABC with vertices A(–4, –4), B(–1, –2), C(3, –1) is rotated 180º about the origin. What are the coordinates of
triangle
?
10. What is the order and magnitude of rotational symmetry of a square?
11. Triangle RST with R(5, 3), S(7, 8), and T(10, 1) is reflected in the line y = x and then in the x-axis. Find the coordinates
of the image and the measure of the angle of rotation.
12. Name the coordinates of Q(6, –4) under a reflection in the x-axis.
13. Find the geometric mean between 27 and 42. Round to the nearest tenth.
14. Name two properties that are preserved by a reflection.
15. Determine whether 27, 120, and 123 are the measures of the sides of a right triangle. Then explain whether they form
a Pythagorean triple.
16. If WX =
and
=
, find the scale factor of the dilation.
17. Name a property that is not preserved by a dilation.
Chapter 9 Final Review
Answer Key
1. 2.2
2. 180°
3. a reflection in the x-axis followed by a translation along the vector
4.
5. 5
6. 45 in. and 63 in.
7. 60
8. (–5, –4)
9.
(4, 4),
(1, 2),
(–3, 1)
10. order: 4; magnitude: 90
11.
(3, –5),
12.
(6, 4)
(8, –7),
(1, –10), 270
13. 33.7
14. Sample answers: distance measure, betweenness of points,
2
2
15. yes; 27 + 120 = 123
16.
17. size
2
measure, collinearity