Test:
Transformation Geometry I - Normal
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Question 1:
Find the coordinates of
A
(
1
,
1
)
under the translation
(
2
3
)
A
(
−
1
,
−
2
)
B
(
4
,
3
)
C
(
2
,
3
)
D
(
3
,
4
)
Question 2:
Find the coordinates of
A
(
0
,
−
2
)
under the translation
(
−
1
2
)
A
(
1
,
−
4
)
B
(
0
,
−
4
)
C
(
1
,
0
)
D
(
−
1
,
0
)
Question 3:
Find the coordinates of the triangle ABC under the translation
(
1
1
)
:
A
A
′
(
1
,
1
)
,
B
′
(
4
,
1
)
,
C
′
(
1
,
3
)
B
A
′
(
1
,
−
1
)
,
B
′
(
4
,
−
1
)
,
C
′
(
0
,
1
)
C
A
′
(
−
1
,
−
1
)
,
B
′
(
2
,
−
1
)
,
C
′
(
−
1
,
1
)
D
A
′
(
0
,
2
)
,
B
′
(
3
,
2
)
,
C
′
(
0
,
4
)
Question 4:
Find the coordinates of the triangle
A
B
C
under the translation
(
2
−
1
)
:
A
A
′
(
0
,
0
)
,
B
′
(
4
,
0
)
,
C
′
(
0
,
4
)
B
A
′
(
1
,
−
2
)
,
B
′
(
5
,
−
2
)
,
C
′
(
1
,
1
)
C
A
′
(
−
2
,
1
)
,
B
′
(
6
,
1
)
,
C
′
(
−
2
,
−
2
)
D
A
′
(
−
2
,
1
)
,
B
′
(
2
,
1
)
,
C
′
(
1
,
4
)
Question 5:
Find the reflection of the triangle
A
B
C
across the
x
- axis
A
A
′
(
1
,
−
3
)
,
B
′
(
5
,
−
3
)
,
C
′
(
3
,
−
1
)
B
A
′
(
1
,
−
1
)
,
B
′
(
5
,
−
1
)
,
C
′
(
3
,
−
3
)
C
A
′
(
−
1
,
1
)
,
B
′
(
−
5
,
1
)
,
C
′
(
−
3
,
3
)
D
A
′
(
−
1
,
−
1
)
,
B
′
(
−
5
,
−
1
)
,
C
′
(
−
3
,
−
3
)
Question 6:
Find the reflection of the triangle
A
B
C
across the
x
-axis:
A
A
′
(
0
,
1
,
)
,
B
′
(
−
2
,
3
)
,
C
′
(
2
,
3
)
B
A
′
(
1
,
0
)
,
B
′
(
3
,
2
)
,
C
′
(
3
,
−
2
)
C
A
′
(
0
,
−
1
)
,
B
′
(
−
2
,
−
3
)
,
C
′
(
2
,
−
3
)
D
A
′
(
0
,
−
1
)
,
B
′
(
2
,
−
3
,
)
,
C
′
(
−
2
,
−
3
)
Question 7:
Find the reflection of the triangle
A
B
C
across the
y
−
axis:
A
A
′
(
1
,
1
)
,
B
′
(
1
,
4
)
,
C
′
(
3
,
1
)
B
A
′
(
1
,
−
1
)
,
B
′
(
4
,
−
1
)
,
C
′
(
1
,
−
3
)
C
A
′
(
1
,
−
1
)
,
B
′
(
1
,
−
4
)
,
C
′
(
3
,
−
1
)
D
A
′
(
−
1
,
−
1
)
,
B
′
(
−
1
,
−
4
)
,
C
′
(
−
3
,
−
1
)
Question 8:
Find the reflection of the triangle
A
B
C
across the
y
−
axis:
A
A
′
(
3
,
−
2
)
,
B
′
(
1
,
−
1
)
,
C
′
(
2
,
3
)
B
A
′
(
3
,
2
)
,
B
′
(
1
,
1
)
,
C
′
(
2
,
−
3
)
C
A
′
(
−
2
,
3
)
,
B
′
(
−
1
,
1
)
,
C
′
(
3
,
2
)
D
A
′
(
−
3
,
2
)
,
B
′
(
−
1
,
1
)
,
C
′
(
2
,
−
3
)
Question 9:
Find the reflection of the triangle
A
B
C
across the
y
=
x
line:
A
A
′
(
−
4
,
−
2
)
,
B
′
(
−
1
,
−
2
)
,
C
′
(
−
3
,
−
3
)
B
A
′
(
−
2
,
4
)
,
B
′
(
2
,
1
)
,
C
′
(
3
,
3
)
C
A
′
(
4
,
2
)
,
B
′
(
1
,
−
2
)
,
C
′
(
3
,
−
3
)
D
A
′
(
−
2
,
−
4
)
,
B
′
(
2
,
−
1
)
,
C
′
(
3
,
−
3
)
Question 10:
Find the reflection of the triangle
A
B
C
across the
y
=
x
line:
A
A
′
(
−
2
,
1
)
,
B
′
(
−
3
,
−
4
)
,
C
′
(
−
1
,
−
5
)
B
A
′
(
2
,
−
1
)
,
B
′
(
3
,
−
4
)
,
C
′
(
1
,
−
5
)
C
A
′
(
2
,
1
)
,
B
′
(
3
,
4
)
,
C
′
(
1
,
5
)
D
A
′
(
−
2
,
1
)
,
B
′
(
−
3
,
4
)
,
C
′
(
−
1
,
5
)
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