Test:
Transformation Geometry II - Ambitious
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Question 1:
Find the reflection of the triangle ABC across the
y
=
−
x
line
A
A
′
(
−
1
,
2
)
,
B
′
(
0
,
−
1
)
,
C
′
(
−
3
,
−
1
)
B
A
′
(
−
2
,
−
1
)
,
B
′
(
1
,
0
)
,
C
′
(
1
,
−
3
)
C
A
′
(
2
,
−
1
)
,
B
′
(
−
1
,
0
)
,
C
′
(
−
1
,
−
3
)
D
A
′
(
1
,
−
2
)
,
B
′
(
0
,
1
)
,
C
′
(
3
,
1
)
Question 2:
Find the reflection of the triangle ABC across the line
y
=
−
x
A
A
′
(
0
,
0
)
,
B
′
(
2
,
4
)
,
C
′
(
4
,
2
)
B
A
′
(
0
,
0
)
,
B
′
(
−
2
,
−
4
)
,
C
′
(
−
4
,
−
2
)
C
A
′
(
0
,
0
,
)
B
′
(
−
4
,
−
2
)
,
C
′
(
−
2
,
−
4
)
D
A
′
(
0
,
0
)
,
B
′
(
4
,
−
2
)
,
C
′
(
2
,
−
4
)
Question 3:
Find the coordinates of the triangle ABC enlarged by a scale factor
−
2
and centered about the origin
A
A
′
(
2
,
−
4
)
,
B
′
(
−
4
,
−
2
)
,
C
′
(
−
6
,
−
8
)
B
A
′
(
−
1
,
−
4
)
,
B
′
(
2
,
−
2
)
,
C
′
(
3
,
−
8
)
C
A
′
(
−
2
,
4
)
,
B
′
(
4
,
2
)
,
C
′
(
6
,
8
)
D
A
′
(
2
,
2
)
,
B
′
(
−
4
,
1
)
,
C
′
(
−
6
,
4
)
Question 4:
Find the coordinates of the triangle
A
B
C
enlarged by a scale factor of
1
3
and centered about the origin
A
A
′
(
1
,
2
)
,
B
′
(
−
2
,
0
)
,
C
′
(
0
,
−
1
)
B
A
′
(
−
1
,
−
2
)
,
B
′
(
2
,
0
)
,
C
′
(
0
,
1
)
C
A
′
(
−
2
,
−
5
)
,
B
′
(
7
,
1
)
,
C
′
(
1
,
4
)
D
A
′
(
−
2
,
−
1
)
,
B
′
(
0
,
2
)
,
C
′
(
1
,
0
)
Question 5:
Find the coordinates of the triangle
A
B
C
rotated by
90
∘
about the origin
A
A
′
(
−
5
,
−
2
)
,
B
′
(
2
,
−
4
)
,
C
′
(
4
,
−
2
)
B
A
′
(
−
2
,
5
)
,
B
′
(
−
4
,
2
)
,
C
′
(
−
2
,
1
)
C
A
′
(
5
,
2
)
,
B
′
(
2
,
4
)
,
C
′
(
1
,
2
)
D
A
′
(
−
5
,
−
2
)
,
B
′
(
−
2
,
−
4
)
,
C
′
(
−
1
,
−
2
)
Question 6:
Find the coordinates of the triangle
A
B
C
rotated by
180
∘
about the origin
A
A
′
(
1
,
3
)
,
B
′
(
−
2
,
1
)
,
C
′
(
−
3
,
2
)
B
A
′
(
3
,
1
)
,
B
′
(
1
,
−
2
)
,
C
′
(
2
,
−
3
)
C
A
′
(
−
3
,
1
)
,
B
′
(
−
1
,
−
2
)
,
C
′
(
−
2
,
−
3
)
D
A
′
(
−
1
,
−
3
)
,
B
′
(
2
,
−
1
)
,
C
′
(
3
,
−
2
)
Question 7:
Find the coordinates of the triangle
A
B
C
rotated by
270
∘
about the origin
A
A
′
(
−
1
,
−
2
)
,
B
′
(
−
1
,
1
)
,
C
′
(
3
,
0
)
B
A
′
(
−
1
,
2
)
,
B
′
(
−
1
,
−
1
)
,
C
′
(
3
,
0
)
C
A
′
(
1
,
2
)
,
B
′
(
1
,
−
1
)
,
C
′
(
−
3
,
0
)
D
A
′
(
2
,
1
)
,
B
′
(
−
1
,
1
)
,
C
′
(
0
,
−
3
)
Question 8:
Find the coordinates of the triangle
A
B
C
rotated by
−
90
∘
about the origin
A
A
′
(
3
,
2
)
,
B
′
(
0
,
−
2
)
,
C
′
(
2
,
−
3
)
B
A
′
(
−
3
,
2
)
,
B
′
(
0
,
−
2
)
,
C
′
(
−
2
,
−
3
)
C
A
′
(
2
,
−
3
)
,
B
′
(
−
2
,
0
)
,
C
′
(
−
3
,
2
)
D
A
′
(
2
,
3
)
,
B
′
(
−
2
,
0
)
,
C
′
(
−
3
,
−
2
)
Question 9:
Find the coordinates of the triangle
A
B
C
rotated by
90
∘
, enlarged by the scale factor of
2
and centered about the origin
A
A
′
(
4
,
−
2
)
,
B
′
(
2
,
6
)
,
C
′
(
−
6
,
4
)
B
A
′
(
−
4
,
2
)
,
B
′
(
−
2
,
−
6
)
,
C
′
(
6
,
−
4
)
C
A
′
(
2
,
4
)
,
B
′
(
−
6
,
2
)
,
C
′
(
−
4
,
−
6
)
D
A
′
(
−
2
,
−
4
)
,
B
′
(
6
,
−
2
)
,
C
′
(
4
,
6
)
Question 10:
Find the coordinates of the triangle
A
B
C
rotated by
180
∘
, enlarged by the scale factor
−
1
2
and centered about the origin
A
A
′
(
−
2
,
−
1
)
,
B
′
(
0
,
1
)
,
C
′
(
−
3
,
1
)
B
A
′
(
2
,
1
)
,
B
′
(
0
,
−
1
)
,
C
′
(
3
,
−
1
)
C
A
′
(
−
1
,
−
2
)
,
B
′
(
1
,
0
)
,
C
′
(
1
,
−
3
)
D
A
′
(
1
,
2
)
,
B
′
(
−
1
,
0
)
,
C
(
−
1
,
3
)
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