Test:
Transformation Geometry I - Ambitious
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Question 1:
Find the coordinates of
A
(
2
,
3
)
under the translation
(
−
4
5
)
A
(
−
1
,
7
)
B
(
6
,
−
2
)
C
(
−
8
,
15
)
D
(
−
2
,
8
)
Question 2:
Find the coordinates of
A
(
−
3
,
6
)
under the translation
(
7
2
)
A
(
−
10
,
4
)
B
(
6
,
−
3
)
C
(
−
21
,
12
)
D
(
4
,
8
)
Question 3:
Find the coordinates of the triangle
A
B
C
under the translation
(
3
−
5
)
A
A
′
(
−
4
,
4
)
,
B
′
(
−
1
,
−
4
)
,
C
′
(
−
6
,
−
3
)
B
A
′
(
−
1
,
−
1
)
,
B
′
(
1
,
2
)
,
C
′
(
2
,
−
3
)
C
A
′
(
2
,
−
6
)
,
B
′
(
5
,
−
4
)
,
C
′
(
0
,
−
3
)
D
A
′
(
−
3
,
5
)
,
B
′
(
6
,
−
5
)
,
C
′
(
−
9
,
−
10
)
Question 4:
Find the coordinates of the triangle
A
B
C
under the translation
(
−
7
−
6
)
A
A
′
(
−
14
,
12
)
,
B
′
(
−
42
,
6
)
,
C
′
(
−
28
,
−
12
)
B
A
′
(
2
,
0
)
,
B
′
(
6
,
1
)
,
C
′
(
6
,
2
)
C
A
′
(
−
5
,
−
8
)
,
B
′
(
−
1
,
−
7
)
,
C
′
(
−
3
,
−
4
)
D
A
′
(
9
,
4
)
,
B
′
(
13
,
5
)
,
C
′
(
11
,
8
)
Question 5:
Find the reflection of the triangle
A
B
C
across the
x
−
axis
A
A
′
(
−
2
,
−
1
)
,
B
′
(
−
3
,
4
)
,
C
′
(
−
1
,
3
)
B
A
′
(
1
,
−
2
)
,
B
′
(
−
4
,
−
3
)
,
C
′
(
−
3
,
−
1
)
C
A
′
(
1
,
2
)
,
B
′
(
−
4
,
3
)
,
C
′
(
−
3
,
1
)
D
A
′
(
−
1
,
2
)
,
B
′
(
4
,
3
)
,
C
′
(
3
,
1
)
Question 6:
Find the reflection of the triangle
A
B
C
across the
x
−
axis
A
A
′
(
2
,
1
)
,
B
′
(
−
3
,
−
1
)
,
C
′
(
−
2
,
−
3
)
B
A
′
(
2
,
−
1
)
,
B
′
(
−
3
,
1
)
,
C
′
(
−
2
,
−
3
)
C
A
′
(
1
,
−
2
)
,
B
′
(
−
1
,
3
)
,
C
′
(
3
,
2
)
D
A
′
(
−
2
,
−
1
)
,
B
′
(
3
,
1
)
,
C
′
(
2
,
−
3
)
Question 7:
Find the reflection of the triangle
A
B
C
across the
y
−
axis
A
A
′
(
−
1
,
−
1
)
,
B
′
(
−
3
,
−
2
)
,
C
′
(
−
4
,
3
)
B
A
′
(
−
1
,
1
)
,
B
′
(
−
2
,
3
)
,
C
′
(
3
,
4
)
C
A
′
(
1
,
1
)
,
B
′
(
3
,
2
)
,
C
′
(
4
,
−
3
)
D
A
′
(
−
1
,
1
)
,
B
′
(
−
3
,
2
)
,
C
′
(
−
4
,
−
3
)
Question 8:
Find the reflection of the triangle
A
B
C
across the
y
−
axis
A
A
′
(
1
,
−
1
)
,
B
′
(
−
4
,
−
2
)
,
C
′
(
−
1
,
2
)
B
A
′
(
1
,
1
)
,
B
′
(
−
4
,
2
)
,
C
′
(
−
1
,
−
2
)
C
A
′
(
−
1
,
−
1
)
,
B
′
(
−
2
,
4
)
,
C
′
(
2
,
1
)
D
A
′
(
−
1
,
1
)
,
B
′
(
4
,
2
)
,
C
′
(
1
,
−
2
)
Question 9:
Find the reflection of the triangle
A
B
C
across the
y
=
x
line
A
A
′
(
−
1
,
1
)
,
B
′
(
−
2
,
4
)
,
C
′
(
1
,
3
)
B
A
′
(
1
,
−
1
)
,
B
′
(
2
,
−
4
)
,
C
′
(
−
1
,
−
3
)
C
A
′
(
−
1
,
1
)
,
B
′
(
−
4
,
2
)
,
C
′
(
−
3
,
−
1
)
D
A
′
(
1
,
1
)
,
B
′
(
4
,
2
)
,
C
′
(
3
,
−
1
)
Question 10:
Find the reflection of the triangle
A
B
C
across the
y
=
x
line
A
A
′
(
−
2
,
−
3
)
,
B
′
(
3
,
1
)
,
C
′
(
3
,
−
2
)
B
A
′
(
3
,
−
2
)
,
B
′
(
−
1
,
3
)
,
C
′
(
2
,
3
)
C
A
′
(
2
,
3
)
,
B
′
(
−
3
,
−
1
)
,
C
′
(
−
3
,
2
)
D
A
′
(
3
,
2
)
,
B
′
(
−
1
,
−
3
)
,
C
′
(
2
,
−
3
)
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