Test:
Transformation Geometry I - Challenging
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Question 1:
Write down the coordinates of
(
2
−
2
)
under the translation
(
−
3
7
)
A
(
−
1
5
)
B
(
−
6
−
14
)
C
(
5
9
)
D
(
−
5
−
9
)
Question 2:
Write down the coordinates of
(
0
7
)
under the translation
(
2
−
8
)
A
(
2
−
1
)
B
(
0
1
)
C
(
0
−
56
)
D
(
−
2
15
)
Question 3:
Write down the coordinates of the triangle
A
B
C
under the translation
(
−
5
−
7
)
, where
A
=
(
3
,
2
)
,
B
=
(
6
,
5
)
,
C
=
(
7
,
1
)
A
A
'
=
(
−
4
,
−
3
)
,
B
'
=
(
−
1
,
0
)
,
C
'
=
(
−
4
,
0
)
B
A
'
=
(
−
2
,
−
5
)
,
B
'
=
(
1
,
−
2
)
,
C
'
=
(
2
,
−
6
)
C
A
'
=
(
8
,
9
)
,
B
'
=
(
11
,
12
)
,
C
'
=
(
12
,
8
)
D
A
'
=
(
−
15
,
−
14
)
,
B
'
=
(
−
30
,
−
35
)
,
C
'
=
(
−
35
,
−
7
)
Question 4:
Write down the coordinates of the triangle
A
B
C
under the translation
(
6
−
4
)
, where
A
=
(
−
2
,
−
1
)
,
B
=
(
1
,
4
)
,
C
=
(
2
,
0
)
A
A
'
=
(
−
4
,
−
4
)
,
B
'
=
(
0
,
7
)
,
C
'
=
(
−
4
,
8
)
B
A
'
=
(
−
5
,
4
)
,
B
'
=
(
−
7
,
0
)
,
C
'
=
(
−
4
,
8
)
C
A
'
=
(
−
12
,
4
)
,
B
'
=
(
6
,
−
16
)
,
C
'
=
(
12
,
0
)
D
A
'
=
(
4
,
−
5
)
,
B
'
=
(
7
,
0
)
,
C
'
=
(
8
,
−
4
)
Question 5:
Find the triangle
A
B
C
under a reflection in the
x
-axis, where
A
=
(
−
4
,
2
)
,
B
=
(
−
2
,
5
)
,
C
=
(
−
1
,
−
1
)
A
A
'
=
(
4
,
2
)
,
B
'
=
(
2
,
−
5
)
,
C
'
=
(
−
1
,
1
)
B
A
'
=
(
4
,
−
2
)
,
B
'
=
(
2
,
−
5
)
,
C
'
=
(
1
,
−
1
)
C
A
'
=
(
−
4
,
2
)
,
B
'
=
(
−
2
,
5
)
,
C
'
=
(
1
,
1
)
D
A
'
=
(
−
4
,
−
2
)
,
B
'
=
(
−
2
,
−
5
)
,
C
'
=
(
−
1
,
−
1
)
Question 6:
Find the triangle
A
B
C
under a reflection in the
x
-axis, where
A
=
(
−
2
,
−
1
)
,
B
=
(
−
1
,
5
)
,
C
=
(
3
,
2
)
A
A
'
=
(
2
,
1
)
,
B
'
=
(
−
1
,
5
)
,
C
'
=
(
−
3
,
2
)
B
A
'
=
(
2
,
−
1
)
,
B
'
=
(
1
,
−
5
)
,
C
'
=
(
−
3
,
2
)
C
A
'
=
(
−
2
,
−
1
)
,
B
'
=
(
−
1
,
−
5
)
,
C
'
=
(
−
3
,
−
2
)
D
A
'
=
(
−
2
,
1
)
,
B
'
=
(
−
1
,
−
5
)
,
C
'
=
(
3
,
−
2
)
Question 7:
Find the triangle
A
B
C
under a reflection in the
y
-axis, where
A
=
(
2
,
−
2
)
,
B
=
(
1
,
2
)
,
C
=
(
5
,
1
)
A
A
'
=
(
2
,
2
)
,
B
'
=
(
1
,
−
2
)
,
C
'
=
(
5
,
−
1
)
B
A
'
=
(
−
2
,
2
)
,
B
'
=
(
1
,
2
)
,
C
'
=
(
−
5
,
1
)
C
A
'
=
(
−
2
,
2
)
,
B
'
=
(
−
1
,
−
2
)
,
C
'
=
(
−
5
,
−
1
)
D
A
'
=
(
−
2
,
−
2
)
,
B
'
=
(
−
1
,
2
)
,
C
'
=
(
−
5
,
1
)
Question 8:
Find the triangle
A
B
C
under a reflection in the
y
-axis, where
A
(
−
2
,
−
2
)
,
B
(
−
1
,
3
)
,
C
(
3
,
1
)
A
A
'
=
(
2
,
−
2
)
,
B
'
=
(
1
,
3
)
,
C
'
=
(
−
3
,
1
)
B
A
'
=
(
−
2
,
2
)
,
B
'
(
1
,
−
3
)
,
C
'
=
(
3
,
1
)
C
A
'
=
(
−
2
,
2
)
,
B
'
(
−
1
,
3
)
,
C
'
=
(
3
,
−
1
)
D
A
'
=
(
2
,
−
2
)
,
B
'
(
−
1
,
−
3
)
,
C
'
=
(
−
3
,
−
1
)
Question 9:
Find the triangle
A
B
C
under a reflection across the line
y
=
x
, where
A
(
2
,
3
)
,
B
(
7
,
4
)
,
C
(
6
,
−
1
)
A
A
'
=
(
−
3
,
2
)
,
B
'
(
−
7
,
4
)
,
C
'
=
(
−
1
,
−
6
)
B
A
'
=
(
2
,
−
3
)
,
B
'
=
(
4
,
−
7
)
,
C
'
=
(
6
,
−
1
)
C
A
'
=
(
2
,
3
)
,
B
'
(
4
,
7
)
,
C
'
=
(
−
1
,
6
)
D
A
'
=
(
−
2
,
−
3
)
,
B
'
=
(
7
,
−
4
)
,
C
'
=
(
6
,
−
1
)
Question 10:
Find the triangle
A
B
C
under a reflection across the line
y
=
x
, where
A
(
−
3
,
1
)
,
B
(
3
,
−
2
)
,
C
(
−
2
,
4
)
A
A
'
=
(
−
1
,
−
3
)
,
B
'
=
(
−
2
,
3
)
,
C
'
=
(
4
,
−
2
)
B
A
'
=
(
3
,
−
1
)
,
B
'
=
(
3
,
2
)
,
C
'
=
(
2
,
−
4
)
C
A
'
=
(
−
3
,
1
)
,
B
'
=
(
−
3
,
−
2
)
,
C
'
=
(
2
,
4
)
D
A
'
=
(
−
1
,
3
)
,
B
'
=
(
2
,
−
3
)
,
C
'
=
(
−
4
,
−
2
)
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