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GEO: 12-4 QC (compositions)
Contributed by: Maynard
(Original author: Dilaura)
12.4
1. A composition of transformations is...
musical isometries
written transformations
two or more transformations
a movie about transformations
12.4
2. A glide reflection is...
a rotation + a translation
a translation + a reflection
two reflections
a reflection + a rotation
12.4
4. A composition of two reflections across two parallel lines is equal to:
a rotation
a reflection
a translation
a dilation
12.4
5. A composition of two reflections over    intersecting lines is equivalent to...
a reflection
a rotation
a translation
a dilation
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
12.4
6. ∆ABC is reflected across the x-axis and then    undergoes a translation given by the vector      <1, -2>.  Find the coordinates of A'.
B
C
A
A'= (1, -4)
A'= (-3, -4)
A'= (-1, -4)
A'= (-4, -4)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
12.4
7. ∆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
8. ∆ABC is reflected over the x-axis & then undergoes     a translation of (x, y)→ (x-4, y+3). Where is A'?
12.4
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
9. ∆ABC is rotated 180 degrees and then translated
    using the vector <2, 2>. Find the coordinates of A'.
12.4
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
10. ∆ABC is rotated 90 
     degrees and then 
     translated by the vector
     <-3, 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
11. ∆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
12. ∆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
13. ∆ABC is rotated 90 degrees and then rotated       180 degrees. Find the coordinates of B'.
12.4
C
B
A
B'= (0,0)
B'= (0, 4)
B'= (4, 0)
B'= (4, 4)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
14. ∆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
15. ∆ABC is reflected across the x-axis and then reflected over the y-axis. 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
16. ∆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)
Students who took this test also took :
GEO: 7-2 QC (similar figures)
GEO: 3-2 QC (angles formed by parallel lines)
GEO: 3-3 QC (proving lines parallel)
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