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8M: Geo QC (Sequence & Dilations)
1. A sequence of transformations is...
musical isometries
written transformations
two or more transformations
a movie about transformations
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
2. ∆ABC is reflected over the y-axis and then    undergoes a translation of (x, y)→ (x-2, y+2).    Find the coordinates of A'.
B
C
A
A'= (0, 4)
A'= (4, 0)
A'= (-2, 4)
A'= (4, 4)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
3. ∆ABC is reflected over the x-axis & then undergoes     a translation of (x, y)→ (x-4, y+3). Where is A'?
A'= (5, -4)
A'= (-9, 7)
A'= (1, -7)
A'= (1, -1)
C
B
A
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
4. ∆ABC is rotated 180 degrees and then translated    using (x, y) → (x + 2, y + 2).     Find the coordinates of A'.
B
C
A
A'= (4,0)
A'= (-2, 0)
A'= (2,-2)
A'= (-4,0)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
5. ∆ABC is rotated 90      degrees and then      translated by      (x,y)→(x-3,y+1).       Find the coordinates      of A'.
A'= (-2, 7)
A'= (-1, 8)
A'= (-5, 8)
A'= (1, 4)
B
C
A
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
6. ∆ABC is rotated 90 degrees and then reflected      across the y-axis.  Find the coordinates of A'.
12.4
B
C
A'= (-2, 3)
A'= (3, 2)
A'= (-3, 2)
A'= (-2,-3)
A
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
7. ∆ABC is rotated 180 degrees and then reflected      over the y-axis.  Find the coordinates of A'.
12.4
B
C
A'= (-2, 3)
A'= (3, 2)
A'= (-3, 2)
A'= (2,-3)
A
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
8. ∆ABC is rotated 90 degrees and then rotated 180     degrees.  Find the coordinates of A'.
12.4
B
C
A
A'= (-3,-1)
A'= (3, 1)
A'= (1, 3)
A'= (3,-1)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
9. ∆ABC is reflected across the y-axis and then      reflected over the x-axis. Find the coordinates      of A'.
12.4
B
C
A
A'= (-3,-1)
A'= (3, 1)
A'= (1, 3)
A'= (3,-1)
10. Tell if the following images appear to     be a dilation of one another. 
Type Y for yesor N for no.
11. The pre-image coordinate A = (-2, 6) undergoes    a dilation with scale factor 4.  Find the coordinates    of A'.
A' =
note: enter coordinate
like this (x,y) no spaces
12. Tell if the following images appear to       be a dilation of one another. 
Type Y for yesor N for no.
13. The pre-image coordinate A = (12, 8) undergoes      a dilation with scale factor -½.  Find the coordinates      of A'.
A' =
note: enter coordinate
like this (x,y) no spaces
2
-2
4
-4
2
-2
4
-4
6
-6
14.  What is the scale     factor of the dilation    pictured here?
F'
F
U = U'
N
N'
2
½
-2
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
14.  What is the scale factor of the dilation 
       pictured here?
E
K
S'
Y'
½
E'
K'
-½
-2
Y
S
Azok a diákok, akik elvégezték ezt a tesztet, szintén elvégezték :
Gr 8 december review
F2 -- wk1 -- 8.sp.1
GEO: 3-2 QC (angles formed by parallel lines)
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