Chapter 9 Review
Objective:
Standards:
LWBBAT perform multiple types of isometries and dilations.
L1.2.3 – Use vectors to represent quantities that have magnitude and direction, interpret
direction and magnitude of a vector numerically, and calculate the sum and difference of
two vectors.
G3.1.1 – Define reflection, rotation, translation, and glide reflection and find the image of
a figure under a given isometry.
G3.1.2 – Given two figures that are images of each other under an isometry, find the
isometry and described it completely.
G3.1.3 – Find the image of a figure under the composition of two or more isometries and
determine whether the resulting figure is a reflection, rotation, translation, or glide
reflection image of the original figure.
G3.2.1 – Know the definition of dilation and find the image of a figure under a given
dilation.
G3.2.2 – Given two figures that are images of each other under some dilation, identify the
center and magnitude of the dilation.
Materials:
Chapter 9 Review Worksheet
Procedure:
Warm Up/Attendance
(10 min)
While students enter the room, the warm up will be on the board. They will be
working on the warm up while I take attendance. The warm up will consist of a
few logic problems to get the students thinking. After about 5 minutes, we will go
over the warm up as a class.
Directions
(5 min)
I will tell the students they will be doing a review worksheet over all of chapter 9.
The students are allowed to work in small groups (no more than 3 people per
group). This will be the time they can get one-on-one help with any questions they
have over the chapter. About every 10 minutes we will go over one page of the
packet. One page consists of the front and back of a paper.
Group Work
Students will have time to work on problems 1 – 13.
(10 min)
Review of Answers
We will go over the answers for 1 – 13 as a class.
(8 min)
Group Work
Students will have time to work on problems 14 – 21.
(10 min)
Review of Answers
We will go over the answers for 14 – 21 as a class.
(8 min)
Group Work
Students will have time to work on problems 22 – 27.
(10 min)
Review of Answers
(8 min)
We will go over the answers for 22 – 27 as a class. We may run out of time for this,
and we will finish the review the next day.
Homework: There will be no specific homework given. If the students do not finish their review
worksheet, this will become homework.
Assessment: Formative assessment will be done through the questions that are asked and how well the
students do on their worksheet.
Chapter 9 Review
Name: _________________________
Hour:_______
Directions: In questions 1 – 8, write the definition of the vocabulary words.
1) Reflection
2) Rotation
3) Translation
4) Glide-Reflection
5) Isometry
6) Dilation
7) Reduction
8) Enlargement
9) What is the image of point Q(3, -4), when it is reflected in the line y = -x?
10) Triangle PQR is rotated 270˚ counterclockwise around the origin. If the original coordinates are P(5, 1), Q(3, 1),
and R(2, -1), find the coordinates of the image.
11) The vertices of triangle ABC are A(-1, 1), B(1, 3), and C(2, -1). Translate the triangle (x, y)  (x – 1, y + 1), then
reflect it in the x-axis.
12) What is the image of (2, -1) for the translation (x, y)  (x + 4, y – 6)?
13) Reflect the shape in the line y = 1.
14) Rotate 90˚ counterclockwise about the origin.
Directions: ΔABC has the following coordinates: A(2, 1), B(1, 4), and C(4, 3). Translate the triangle as told in 15-17.
15)
Translation: (x, y)  (x + 2, y – 3)
Translation: (x, y)  (x – 1, y + 5)
16)
Reflection: in the y-axis
Rotation: 180˚ about the origin
17)
Rotation: 270˚ about the origin
Reflection: in y = –x
18)
Translation: (x, y)  (x + 5, y – 2)
Reflection: in the x-axis
Rotation: 90˚ about the origin
Directions: In questions 19 – 21, find the coordinate vertices of the image of the polygon after a dilation using
given scale factor.
19) k = 2
20) k = ⅓
21) k = ¼
Directions: In questions 22 and 23, tell whether the dilation is a reduction or an enlargement. Then find the values
of the variables.
22)
23)
Directions: In questions 24 and 25, use ΔPQR with the points P(-6, 0), Q(0, -3), and R(-6, -3). Find the vertices of
P”Q”R” after the composition of transformations.
24)
Translation: (x, y)  (x + 9, y – 6)
Dilation: centered at the origin with a scale factor of 1/3
25)
Dilation: centered at the origin with a scale factor of ½
Reflection: in the x-axis
Directions: In questions 26 and 27, use ΔABC with the points A(2, 1), B(3, 3), and C(4, 0). Find the vertices of
A”B”C” afte the composition of transformations.
26)
Translation: (x, y)  (x + 3, y – 2)
Dilation: centered at the origin with a scale factor of 3
27)
Translation: (x, y)  (x + 6, y + 1)
Dilation: centered at the origin with a scale factor of 3/5