Unit 8 Check Sheet
Name ______________________________Per______
Transformations & Constructions
•
•
•
•
•
(Print)
Check sheet must be turned in to
receive Homework & Quiz points.
All quiz corrections must be done for
test score to replace quiz scores.
No check sheet = No Points.
Write quiz scores as fractions
Lost Quizzes count as a 0.
Section
•
•
Quiz ratio is total points scored on
quizzes and pre-test out of total
possible
Order (from top to bottom)
o Check sheet,
o Quiz 1, 2, Pre-Test
o Quiz corrections
HMK
8.1
Translations
Worksheet 8.1 #1-12,
8.2
Reflections
Worksheet 8.2 Notes #1-10 all
Worksheet 8.2 HWK #1-12 all
8.3
Rotations
Worksheet 8.3 Notes #1-8 all
Worksheet 8.3 HWK #1-12 all
Compositions of Isometries
Worksheet 8.4 #1-13 all
Quiz 1
Basic Constructions (Ch. 10.1)
Copy segment, bisect a segment, perpendicular bisector through an interior point,
perpendicular bisector through an exterior point, copy angle, bisect angle, ,
construct 90°, 45°, 30°
Worksheet 8.5 Guided Practice #1-13 all
Worksheet 8.5b Independent Practice #1-13 all
Constructing Perpendicular and Parallel Lines (11.7), equilateral triangle, square,
and hexagon
Worksheet 8.6 Guided Practice #1-8 all
Worksheet 8.6b Independent Practice #1-8 all
Quiz 2
8.4
8.5
8.6
Review
Review WS 1 #1-14 all
Unit Test
Quiz 1: _______
Score/Possible
Quiz 2: _______
Pre-Test: _______
Score/Possible
Score/Possible
Total Quiz Ratio: _______
Total Score/Total Possible
Kuta Software - Infinite Geometry
Name___________________________________
8.1 Translations
Date________________ Period____
Graph the image of the figure using the transformation given.
1) translation: 5 units right and 1 unit up
2) translation: 1 unit left and 2 units up
y
y
Y
G
x
T
x
G
M
B
3) translation: 3 units down
4) translation: 5 units right and 2 units up
y
y
Q
L
x
x
X
U
I
5) translation: 4 units right and 4 units down
E
6) translation: 2 units right and 3 units up
y
J
y
I
A
x
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x
M
J
X
E
-1-
Worksheet by Kuta Software LLC
Write a rule in coordinate notation to describe each transformation.
7)
8)
y Z
y
Z'
K
V'
K'
I
V
J'
I'
T'
J
x
x
T
I'
I
9)
10)
y
y
A
U U'
L
A'
N N'
x
L'
x
P
H H'
P'
11)
12)
y
H
H'
y
T'
Y
Y'
W
N
W'
N'
T P'
B'
x
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x
P
-2-
B
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Translations
Date________________ Period____
Graph the image of the figure using the transformation given.
1) translation: 5 units right and 1 unit up
2) translation: 1 unit left and 2 units up
y
y
Y'
G'
G
Y
T'
G'
x
T
G
M'
B'
x
M
B
3) translation: 3 units down
4) translation: 5 units right and 2 units up
y
y
Q
X'
L
Q'
x
x
X
I'
U
E'
L'
I
E
U'
5) translation: 4 units right and 4 units down
6) translation: 2 units right and 3 units up
y
J
J'
y
I
M'
A
J'
X'
x
x
E'
I'
J
A'
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M
X
E
-1-
Worksheet by Kuta Software LLC
Write a rule to describe each transformation.
7)
8)
y Z
y
Z'
K
V'
K'
I
V
J'
I'
T'
J
x
x
T
I'
I
translation: 2 units right and 1 unit down
9)
translation: 1 unit left and 1 unit up
10)
y
y
A
U U'
L
A'
N N'
x
L'
x
P
H H'
P'
translation: 1 unit right
11)
translation: 1 unit right and 3 units down
12)
y
H
H'
y
T'
Y
Y'
W
N
W'
N'
T P'
B'
x
x
P
B
translation: 4 units up
translation: 2 units left and 1 unit down
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
8.2 HWK Reflections
Date________________ Period____
Graph the image of the figure using the transformation given.
2) reflection across the x-axis
1) reflection across y = −2
y
y D
M
W
A
x
x
I
E
Q
Z
3) reflection across y = − x
4) reflection across y = −1
y
y
W
S
I
x
x
A
T
L
B
J
5) reflection across x = −3
6) reflection across y = x
y
y
W
H
L
Q
S
x
x
I
P
P
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-1-
Worksheet by Kuta Software LLC
Write a rule out in words to describe each transformation.
7)
8)
y
K'
y
V
F
J
U'
T'
J'
F'
T
V'
x
V
V'
x
U
K
D
D'
9)
10)
y
y
A'
G'
K'
K
W'
P'
R'
P
x
R
x
W
R
R'
G
A
11)
12)
y
y
D
H
U'
U
P'
P
Z
x
x
U
U'
H
H'
A'
A
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H'
Z'
-2-
D'
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Reflections
Date________________ Period____
Graph the image of the figure using the transformation given.
2) reflection across the x-axis
1) reflection across y = −2
y
y D
M
W
A
Z'
Q'
x
x
E'
I
I'
E
A'
W'
Q
M'
Z
3) reflection across y = − x
D'
4) reflection across y = −1
y
y
W
S
I
B'
L'
x
x
A
T
A'
J'
S'
L
B
I'
J
T'
W'
5) reflection across x = −3
6) reflection across y = x
y
W'
y
W
H
L
Q
S
S'
x
I
P
P
P'
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x
L'
I'
P'
-1-
Q'
H'
Worksheet by Kuta Software LLC
Write a rule to describe each transformation.
7)
8)
y
K'
y
V
F
J
U'
T'
J'
F'
T
V'
x
V
V'
x
U
K
D
D'
reflection across y = 2
9)
reflection across y = − x
10)
y
y
A'
G'
K'
K
W'
P'
R'
P
x
R
x
W
R
R'
G
A
reflection across the x-axis
11)
reflection across x = −3
12)
y
y
D
H
U'
U
P'
P
Z
x
x
U
U'
H
H'
A'
H'
A
Z'
D'
reflection across y = x
reflection across the y-axis
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
Name _______________________________________ Period ____________ Date _________________
Worksheet 8.2 Notes: Reflections
1.
a) Give the coordinates for ΔQRS
Q (
,
) R (
,
Q
) S (
,
)
R
b) Reflect ΔQRS across the x-axis and label the image
c) Give the coordinates for ΔQ’R’S’
Q’ (
,
) R’ (
,
S
) S’ (
,
)
d) Reflect ΔQ’R’S’ across the y-axis and label the image
e) Give the coordinates for ΔQ’’R’’S’’
Q’’ (
,
) R’’ (
,
) S’’ (
,
)
f) Give the coordinate notation for the following transformations:
ΔQRS �⎯⎯� ΔQ’R’S’
(𝑥𝑥, 𝑦𝑦) �⎯⎯� (
,
)
ΔQRS �⎯⎯� ΔQ’’R’’S’’
(𝑥𝑥, 𝑦𝑦) �⎯⎯� (
,
)
(𝑥𝑥, 𝑦𝑦) �⎯⎯� (
ΔQ’R’S’ �⎯⎯� ΔQ’’R’’S’’
2.
Reflect TRAP over the y-axis
3.
)
,
Reflect STAR over the x-axis
T
R
P
S
R
A
A
TRAP �⎯⎯� T′R′A′P′ (𝑥𝑥, 𝑦𝑦) �⎯⎯� (
,
)
STAR �⎯⎯� S′T′A′R′
(𝑥𝑥, 𝑦𝑦) �⎯⎯� (
T
,
)
D
4. ΔCDL is reflected to create ΔBTS. Name the congruent parts.
∠𝐷𝐷 ≅ ________
∠𝐿𝐿 ≅ ________
∠𝐶𝐶 ≅ ________
���� ≅ ________
𝐷𝐷𝐷𝐷
���� ≅ ________
𝐿𝐿𝐿𝐿
���� ≅ ________
𝐶𝐶𝐶𝐶
L
C
B
S
T
For problems 5-8, 𝑨𝑨 (𝟖𝟖, −𝟐𝟐) and 𝑩𝑩 (−𝟑𝟑, 𝟗𝟗)
������ and write the coordinate notation.
���� over the y-axis. Give the coordinates of 𝐴𝐴′𝐵𝐵′
5. Reflect 𝐴𝐴𝐴𝐴
������ and write the coordinate notation.
���� over the x-axis. Give the coordinates of 𝐴𝐴′𝐵𝐵′
6. Reflect 𝐴𝐴𝐴𝐴
7. Translate ����
𝐴𝐴𝐴𝐴 right 6 and down 11 units. Give the coordinates of ������
𝐴𝐴′𝐵𝐵′ and write the coordinate
notation.
������ and write the
8. Translate ����
𝐴𝐴𝐴𝐴 up two units then reflect it over the y-axis. Give the coordinates of 𝐴𝐴′𝐵𝐵′
coordinate notation.
������ and write the
9. Translate ����
𝐴𝐴𝐴𝐴 left 5 units then reflect it over the x-axis. Give the coordinates of 𝐴𝐴′𝐵𝐵′
coordinate notation.
������ and write the
���� over the x-axis then reflect it over the y-axis. Give the coordinates of 𝐴𝐴′𝐵𝐵′
10. Reflect 𝐴𝐴𝐴𝐴
coordinate notation.
Kuta Software - Infinite Geometry
Name___________________________________
8.3 HWK Rotations
Date________________ Period____
Graph the image of the figure using the transformation given.
1) rotation 180° about the origin
2) rotation 180° about the origin
y
y
P
F
V
K
x
x
J
N
R
3) rotation 90° counterclockwise about the
origin
Y
4) rotation 90° clockwise about the origin
y
y
Y
K
B
Bx
x
U
X
N
5) rotation 90° clockwise about the origin
6) rotation 180° about the origin
y
y
V
x
K
x
P
J
T
K
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Q
-1-
Worksheet by Kuta Software LLC
Write a rule in words to describe each transformation including direction.
7)
8)
y
y
K B'
Z'
A'
K'
N
H
B
P'
K
K'
x
A
H'
Z
P
9)
x
N'
10)
y
y
S
X'
N
T'
M
T
U'
x
N'
x
V'
U
X
V
M'
11)
S'
12)
y
Y'
y
S'
N'
C'
R
I'
Ix
x
R'
C
N
S
Y
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Rotations
Date________________ Period____
Graph the image of the figure using the transformation given.
1) rotation 180° about the origin
2) rotation 180° about the origin
y
y
P
Y'
R'
N'
F
J'
K'
V
K
V'
x
x
J
F'
N
R
Y
P'
3) rotation 90° counterclockwise about the
origin
4) rotation 90° clockwise about the origin
y
y
Y
K
B
Bx
x
U'
U
X
X'
Y'
B'
N
K'
B'
N'
5) rotation 90° clockwise about the origin
6) rotation 180° about the origin
y
y
Q'
T'
J'
P'
V
K'
x
K
K'
x
P
J
T
V'
K
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Q
-1-
Worksheet by Kuta Software LLC
Write a rule to describe each transformation.
7)
8)
y
y
K B'
Z'
A'
K'
N
H
B
P'
K
K'
x
A
H'
Z
P
rotation 90° clockwise about the origin
9)
x
N'
rotation 180° about the origin
10)
y
y
S
X'
N
T'
M
T
U'
x
N'
x
V'
U
X
V
M'
S'
rotation 90° counterclockwise about the
origin
11)
12)
y
Y'
rotation 180° about the origin
y
S'
N'
C'
R
I'
Ix
x
R'
C
N
S
Y
rotation 180° about the origin
rotation 180° about the origin
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
Name _______________________________________ Period ____________ Date _________________
Worksheet 8.3: Notes Rotations
1.
Q
a) Give the coordinates for ΔQRS
Q (
,
) R (
,
) S (
,
)
R
b) Rotate ΔQRS 90°counterclockwise about the origin
c) Give the coordinates for ΔQ’R’S’
Q’ (
,
) R’ (
,
) S’ (
S
,
)
d) Rotate ΔQRS 180°counterclockwise about the origin
e) Label the image ΔQ’’R’’S’’ and give the coordinates
Q’’ (
,
) R’’ (
,
) S’’ (
,
)
f) Rotate ΔQRS 270°counterclockwise about the origin
g) Label the image ΔQ’’’R’’’S’’’ and give the coordinates
Q’’’ (
,
) R’’’ (
,
) S’’’ (
,
)
h) Give the coordinate notation for the following transformations:
(𝑥𝑥, 𝑦𝑦) �⎯⎯� (
)
ΔQRS �⎯⎯� ΔQ’R’S’
,
(𝑥𝑥, 𝑦𝑦) �⎯⎯� (
ΔQRS �⎯⎯� ΔQ’’R’’S’’
(𝑥𝑥, 𝑦𝑦) �⎯⎯� (
ΔQRS �⎯⎯� ΔQ′′′R′′′S′′′
2. Rotate ΔABC 90° counterclockwise about origin
the origin
,
,
)
)
3. Rotate ΔDEF 180° counterclockwise about
the origin
E
D
A
C
B
F
4. Graph and describe the transformation
given by: (𝑥𝑥, 𝑦𝑦) �⎯⎯� (−𝑥𝑥, −𝑦𝑦)
5. Graph and describe the transformation
given by: (𝑥𝑥, 𝑦𝑦) �⎯⎯� (𝑦𝑦, −𝑥𝑥)
6. ΔABC is rotated 90° counter clockwise about the origin to produce the image ΔA’B’C’
a.) Is ΔABC ≅ ΔA’B’C’ ? Explain your reasoning.
b.) A and A’ are equidistant from which point?
7.
D
B How many degrees is ΔABC rotated to produce the image ΔDEF?
A
E
F
C
����
𝐴𝐴𝐴𝐴 =
� ____________
����
𝐹𝐹𝐹𝐹 =
� ____________
∠𝐶𝐶 ≅ ____________
∠𝐷𝐷 ≅ ____________
8. Anthony reflected ΔABC over the y-axis and then reflected it over the x-axis. Bethany says she can create the
same image using only one transformation. What transformation does she use?
Kuta Software - Infinite Geometry
Name___________________________________
All Transformations
Date________________ Period____
Graph the image of the figure using the transformation given.
1) rotation 90° counterclockwise about the
origin
2) translation: 4 units right and 1 unit down
y
y
F
G
Y
Z
x
x
J
L
3) translation: 1 unit right and 1 unit up
4) reflection across the x-axis
y
y
C
J
x
T
J
x
M
M
K
E
Write a rule to describe each transformation.
5)
6)
y
y
D'
D
E'
P
x
E
I
I'
P'x
C C'
H H'
B B'
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-1-
Worksheet by Kuta Software LLC
7)
8)
y
y
F
B
X
R
I'
G'
E'
E
G
x
x
I
R'
X'
B'
F'
Graph the image of the figure using the transformation given.
9) rotation 90° clockwise about the origin
B(−2, 0), C(−4, 3), Z(−3, 4), X(−1, 4)
10) reflection across y = x
K(−5, −2), A(−4, 1), I(0, −1), J(−2, −4)
y
y
x
x
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180° about the origin
E(2, −2), J(1, 2), R(3, 3), S(5, 2)
12) reflection across y = 2
J(1, 3), U(0, 5), R(1, 5), C(3, 2)
13) translation: 7 units right and 1 unit down
J(−3, 1), F(−2, 3), N(−2, 0)
14) translation: 6 units right and 3 units down
S(−3, 3), C(−1, 4), W(−2, −1)
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
All Transformations
Date________________ Period____
Graph the image of the figure using the transformation given.
1) rotation 90° counterclockwise about the
origin
2) translation: 4 units right and 1 unit down
y
y
F
F'
G
G'
Y
L'
Z
Y'
x
x
J
L
Z'
J'
3) translation: 1 unit right and 1 unit up
4) reflection across the x-axis
y
y
K'
M'
C
J
T'
T
J'
M'
J
x
x
C'
M
J'
M
K
E'
E
Write a rule to describe each transformation.
5)
6)
y
y
D'
D
E'
P
x
E
I
I'
P'x
C C'
H H'
B B'
translation: 1 unit right
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reflection across x = 3
-1-
Worksheet by Kuta Software LLC
7)
8)
y
y
F
B
X
R
I'
G'
E'
E
G
x
x
I
R'
X'
B'
F'
rotation 180° about the origin
reflection across the x-axis
Graph the image of the figure using the transformation given.
9) rotation 90° clockwise about the origin
B(−2, 0), C(−4, 3), Z(−3, 4), X(−1, 4)
10) reflection across y = x
K(−5, −2), A(−4, 1), I(0, −1), J(−2, −4)
y
Z
X
y
C'
Z'
C
B'
A
X'
B
I'
x
x
I
K J'
J
A'
K'
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180° about the origin
E(2, −2), J(1, 2), R(3, 3), S(5, 2)
12) reflection across y = 2
J(1, 3), U(0, 5), R(1, 5), C(3, 2)
E'(−2, 2), J'(−1, −2), R'(−3, −3), S'(−5, −2)
13) translation: 7 units right and 1 unit down
J(−3, 1), F(−2, 3), N(−2, 0)
U'(0, −1), R'(1, −1), C'(3, 2), J'(1, 1)
14) translation: 6 units right and 3 units down
S(−3, 3), C(−1, 4), W(−2, −1)
J'(4, 0), F'(5, 2), N'(5, −1)
S'(3, 0), C'(5, 1), W'(4, −4)
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
Name _______________________________________ Period ____________ Date _________________
Math 1 Worksheet 8.4: Compositions of Transformations
For problems 1-6, in each of the following transformations, write the coordinate notation.
Example: Reflect about the y-axis then translate up two units (𝒙𝒙, 𝒚𝒚) → (−𝒙𝒙, 𝒚𝒚) → (−𝒙𝒙, 𝒚𝒚 + 𝟐𝟐)
1. Translate 5 units to the right then rotate 90° counterclockwise about the origin
(𝑥𝑥, 𝑦𝑦) → ( _________ , ___________) → ( _________ , ___________)
2. Reflect over the x-axis then translate up two units
(𝑥𝑥, 𝑦𝑦) → ( _________ , ___________) → ( _________ , ___________)
3. Translate left 6 units and up 4 units then rotate 180° counterclockwise about the origin
(𝑥𝑥, 𝑦𝑦) → ( _________ , ___________) → ( _________ , ___________)
4. Rotate 90° counterclockwise about the origin then translate right 2 units and down 3 units
(𝑥𝑥, 𝑦𝑦) → ( _________ , ___________) → ( _________ , ___________)
5. Reflect over the y-axis then rotate 270° counterclockwise about the origin
(𝑥𝑥, 𝑦𝑦) → ( _________ , ___________) → ( _________ , ___________)
6. Reflect over the x-axis then translate up 1 unit and left 6 units
(𝑥𝑥, 𝑦𝑦) → ( _________ , ___________) → ( _________ , ___________)
���� over the line 𝑥𝑥 = −2 (vertical line passing through -2 on the x-axis)
7. Reflect 𝐴𝐴𝐴𝐴
Create a rule that describes this transformation
A
(𝑥𝑥, 𝑦𝑦) → ( _________ , ___________)
B
In problems 8-13, describe the transformations needed to produce the images (dotted shapes).
8.
9.
10.
11.
12.
13.
Name _______________________________________ Period ____________ Date _________________
Math 1 Worksheet 8-5 (10.1) Guided Practice
A
B
C
1. Make a copy of AB
below http://www.mathopenref.com/constcopysegment.htm
D
5. Create a perpendicular through point K
http://www.mathopenref.com/constperplinepoint.html
l
2. Create a segment equal to AB+CD. Include
markings. http://www.mathopenref.com/constaddsegments.
html
K
3. Create a segment equal to 2·CD
http://www.mathopenref.com/constaddsegments.html
6. Create a perpendicular through point P
http://www.mathopenref.com/constperpextpoint.html
����
4. Create a perpendicular bisector to 𝐿𝐿𝐿𝐿
http://www.mathopenref.com/constbisectline.html
P
L
M
7. Make a copy of the angle
http://www.mathopenref.com/constcopyangle.html
11. Create a 900 angle
http://www.mathopenref.com/constangle90.html
8. Bisect the angle
http://www.mathopenref.com/constbisectangle.html
12. Create a 450 angle
http://www.mathopenref.com/constangle45.html
9. Make a copy of the angle
http://www.mathopenref.com/constcopyangle.html
13. Create a 600 angle
http://www.mathopenref.com/constangle60.html
10. Bisect the angle
http://www.mathopenref.com/constbisectangle.html
Name _______________________________________ Period ____________ Date _________________
Math 1 Worksheet 8-5b (10.1b) Independent Practice
A
B
C
1. Make a copy of AB
below http://www.mathopenref.com/constcopysegment.htm
D
5. Create a perpendicular through point K
http://www.mathopenref.com/constperplinepoint.html
l
2. Create a segment equal to AB+CD. Include
markings. http://www.mathopenref.com/constaddsegments.
html
K
3. Create a segment equal to 2·CD
http://www.mathopenref.com/constaddsegments.html
6. Create a perpendicular through point P
http://www.mathopenref.com/constperpextpoint.html
����
4. Create a perpendicular bisector to 𝐿𝐿𝐿𝐿
http://www.mathopenref.com/constbisectline.html
P
L
M
7. Make a copy of the angle
http://www.mathopenref.com/constcopyangle.html
11. Create a 900 angle
http://www.mathopenref.com/constangle90.html
8. Bisect the angle
http://www.mathopenref.com/constbisectangle.html
12. Create a 450 angle
http://www.mathopenref.com/constangle45.html
9. Make a copy of the angle
http://www.mathopenref.com/constcopyangle.html
13. Create a 300 angle
http://www.mathopenref.com/constangle60.html
10. Bisect the angle
http://www.mathopenref.com/constbisectangle.html
Name _______________________________________ Period ____________ Date _________________
Math 1 Worksheet 8-6 (11.6) Guided Practice
����
1. Bisect 𝐿𝐿𝐿𝐿
http://www.mathopenref.com/constbisectline.html
4. Construct a line parallel through R (Angle Copy
Method)
http://www.mathopenref.com/constparallel.html
L
R
M
2. Construct a perpendicular through point K
http://www.mathopenref.com/constperplinepoint.html
5. Construct a line parallel through P (Angle Copy
Method)
http://www.mathopenref.com/constbisectangle.html
P
K
3. Construct a perpendicular through point P
http://www.mathopenref.com/constperpextpoint.html
6. Construct an equilateral triangle with all sides
����
equal to 𝐴𝐴𝐴𝐴
http://www.mathopenref.com/constcopyangle.html
A
P
B
7. Construct a square with the given side length
http://www.mathopenref.com/constsquare.html
8. Construct a Hexagon with the given side length
http://www.mathopenref.com/consthexagon.html
Name _______________________________________ Period ____________ Date _________________
Math 1 Worksheet 8-6b (11.6) Independent Practice
����
1. Bisect 𝐿𝐿𝐿𝐿
http://www.mathopenref.com/constbisectline.html
4. Construct a line parallel through R (Angle Copy
Method)
http://www.mathopenref.com/constparallel.html
L
R
M
2. Construct a perpendicular through point K
http://www.mathopenref.com/constperplinepoint.html
5. Construct a line parallel through P (Angle Copy
Method)
http://www.mathopenref.com/constbisectangle.html
P
K
3. Construct a perpendicular through point P
http://www.mathopenref.com/constperpextpoint.html
6. Construct an equilateral triangle with all sides
����
equal to 𝐴𝐴𝐴𝐴
http://www.mathopenref.com/constcopyangle.html
A
P
B
7. Construct a square with the given side length
http://www.mathopenref.com/constsquare.html
8. Construct a Hexagon with the given side length
http://www.mathopenref.com/consthexagon.html
Math 1 Unit 8 Review
Name _____________________________ Per ________
1. From the figures below which type of transformation was mapped one figure onto the second figure.
A. Rigid Motion – Reflection
B. Rigid Motion – Translation
C. Rigid Motion – Rotation
D. The transformation does not appear to be rigid motion.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
1a.____
1b.___
1c.____
1a. Figure 1 to Figure 2
1d. Figure 1 to Figure 5
1d.___
1b. Figure 1 to Figure 3
1e. Figure 1 to Figure 6
1e.____
1c. Figure 1 to Figure 4
1f. Figure 2 to Figure 4
1f.____
2. Complete the table with the missing parts.
Original graph – pre-image with labels
B
a.
Image with labels
Rule
(𝑥𝑥, 𝑦𝑦) → ( _______ , ________ )
Describe in words:
A
C
Slope ������
𝐴𝐴′𝐵𝐵′ = _______
F
b.
_move 4 units right and 5 units
down
Slope ����
𝐴𝐴𝐴𝐴 = _______
(𝑥𝑥, 𝑦𝑦) → ( __− 𝑥𝑥 , _𝑦𝑦 __ )
U
E
Describe in words:
_________________________
D
_________________________
Slope ����
𝐸𝐸𝐸𝐸 = _______
H
c.
G
Slope ������
𝐸𝐸′𝐵𝐵′ = _______
(𝑥𝑥, 𝑦𝑦) → ( _______ , ________ )
Describe in words:
Rotate 90° clockwise about the
origin.
Slope ����
𝐺𝐺𝐺𝐺 = _________
Slope ������
𝐺𝐺′𝐻𝐻′ = _________
3. In 2b above, is ∆𝐷𝐷𝐷𝐷𝐷𝐷 ≅ ∆𝐷𝐷′𝐸𝐸′𝐹𝐹′ ? Why? ____________________________________________________________
__________________________________________________________________________________________________
4. Plot and label the image of the triangle after the transformation of:
a. (𝑥𝑥, 𝑦𝑦) → (𝑥𝑥 − 3, 𝑦𝑦 + 2)
b. reflect over the 𝑥𝑥 axis
c. rotate 90° counterclockwise
about the origin
F
H
B
G
D
E
L
C
A
A (-3, -2) → A’ ( _____ , _____ )
F (-3, 5) → F’ ( _____ , _____ )
Slope ����
𝐴𝐴𝐴𝐴 = _______
Slope ������
𝐴𝐴′𝐵𝐵′ = _______
L (5, 1) → L’ ( _____ , _____ )
Slope ����
𝐺𝐺𝐺𝐺 = _______
Slope ������
𝐺𝐺′𝐻𝐻′ = _______
Slope ����
𝐹𝐹𝐹𝐹 = _______
����� = _______
Slope 𝐹𝐹′𝐸𝐸′
(𝑥𝑥, 𝑦𝑦) → ( _______ , ________ )
(𝑥𝑥, 𝑦𝑦) → ( _______ , ________ )
(𝑥𝑥, 𝑦𝑦) → ( _______ , ________ )
5. Describe in detail the transformation of ∆ 𝑅𝑅𝑅𝑅𝑅𝑅 to ∆ 𝑈𝑈𝑈𝑈𝑈𝑈. (𝑥𝑥, 𝑦𝑦) → ( −𝑥𝑥, 𝑦𝑦 + 4 ) Draw and label ∆ 𝑈𝑈𝑈𝑈𝑈𝑈.
In words: ________________________________________________________________
(𝑥𝑥, 𝑦𝑦) → ( _______ , ________ )
S
R
T
Is ∆𝑅𝑅𝑅𝑅𝑅𝑅 ≅ ∆𝑊𝑊𝑊𝑊𝑊𝑊 ? _________ why? _____________________________________
���� ≅ _______ �����
𝑅𝑅𝑅𝑅
𝑈𝑈𝑈𝑈 ≅ ________ ∠ 𝑆𝑆 ≅ ________
6. Name two transformations that will map the shape onto itself.
a.
b.
1. _____________________
∠ 𝑊𝑊 ≅ ________
1. _________________
_______________________
___________________
2. _____________________
2. _________________
________________________
___________________
6. Challenge:
a. graph line 𝑦𝑦 = 𝑥𝑥, reflect
∆𝑃𝑃𝑃𝑃𝑃𝑃 across 𝑦𝑦 = 𝑥𝑥
Q
b. graph line 𝑦𝑦 = 𝑥𝑥 + 2, reflect
∆𝐴𝐴𝐴𝐴𝐴𝐴 across 𝑦𝑦 = 𝑥𝑥+2
C
c. rotate ∆𝐷𝐷𝐷𝐷𝐷𝐷 90° counterclockwise
about point D
E
A
P
D
R
B
F