5.8 hw - identifying combined...
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Name ________________________________________ Date ___________________ Class __________________
5.8 HW - Identifying Combined Transformations Identify the combined transformations from the original to the final image, and tell whether the two figures are similar or congruent.
1.
A
B C
D A'
B'C'
D'
A''
B''C''
D''
1 2 3 4 5 6 7 8–1–2–3–4–5–6–7–8 x
12345678
–1–2–3–4–5–6–7–8
y
________________________________________
2.
A
B
C
A'
B'
C'A''
B''
C''
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
_______________________________________
3. 4.
A B
CD
A''B''
C'' D''
A'B'
C' D'
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
A
B
C
A''
B''
C''
A'
B'
C'
2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
________________________________________ ________________________________________
Name ________________________________________ Date ___________________ Class __________________
Holt McDougal Mathematics
Identify the combined transformations from the original to the final image, and tell whether the two figures are similar or congruent.
5. 6.
xO 4 5
45
23
1
2 31!2!3 !1!1!2!3!4!5
!5
y
!4
A′
C ′
B′
A B
C
A″ B″
C″
________________________________________ ________________________________________ Find a sequence of at least two combined transformations for transforming the original to the final image.
7. 8.
xO 4 5
45
23
1
2 31!2!3 !1!1!2!3!4!5
!5
y
!4
A C
B
A″
B ″ C ″
xO 4 5
45
23
1
2 31!2!3 !1!1!2!3!4!5
!5
y
!4
A
C
B
A ″ B ″
C ″
________________________________________ ________________________________________
xO 4 5 6
45
23
1
2 31!2!3 !1!1!2!3!4!5
!6
y
!6
6
!4
A
B
C
D
A″
B″
D″
!5A′
B′ C ′
D′
Name ________________________________________ Date ___________________ Class __________________
Identify the combined transformations from the original to the final image, and tell whether the two figures are similar or congruent.
9. 10.
A
B
C
A'
B'
C'A''
B''
C''
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
________________________________________ ________________________________________ Find a sequence of at least two combined transformations for transforming the original to the final image.
11. 12.
A
B
C D
E
FG
H
I
J
A"
B"
C"D"
E"
F"G"
H"
I"
J"
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
A
BC
D
A"
B"C"
D"
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
________________________________________ ________________________________________
C
D
EA
B
A'
B'
C'
D'
E'
A"
B"
C"
D"
E" 2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y