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Transformations on the Coordinate Plane — Mixed
Apply the rule to each vertex. Show your work.
Example
Triangle ABC has vertices A(−3, 1), B(0, 1), C(−3, 3). Rotate 180° about the origin. →
A′(3, −1), B′(0, −1), C′(3, −3)
1.
x
y
−7
−7
−6
−6
−5
−5
−4
−4
−3
−3
−2
−2
−1
−1
1
1
2
2
3
3
4
4
5
5
6
6
7
7
A
B
C
Triangle ABC has vertices A(−4, −4), B(−1, −4), C(−4, −1). Reflect across the
y
-axis. Write the coordinates of the image.
A′
B′
C′
2.
x
y
−7
−7
−6
−6
−5
−5
−4
−4
−3
−3
−2
−2
−1
−1
1
1
2
2
3
3
4
4
5
5
6
6
7
7
A
B
C
D
Figure ABCD has vertices A(−1, 0), B(1, 0), C(1, 2), D(−1, 1). Rotate 90° counterclockwise about the origin. Write the coordinates of the image.
A′
B′
C′
D′
3.
x
y
−7
−7
−6
−6
−5
−5
−4
−4
−3
−3
−2
−2
−1
−1
1
1
2
2
3
3
4
4
5
5
6
6
7
7
A
B
C
Triangle ABC has vertices A(−3, −1), B(−1, −1), C(−3, 2). Rotate 180° about the origin. Write the coordinates of the image.
A′
B′
C′
4.
x
y
−7
−7
−6
−6
−5
−5
−4
−4
−3
−3
−2
−2
−1
−1
1
1
2
2
3
3
4
4
5
5
6
6
7
7
A
B
C
D
Figure ABCD has vertices A(0, 1), B(3, 1), C(3, 4), D(0, 3). Translate 5 units left and 4 units down. Write the coordinates of the image.
A′
B′
C′
D′
5.
x
y
−7
−7
−6
−6
−5
−5
−4
−4
−3
−3
−2
−2
−1
−1
1
1
2
2
3
3
4
4
5
5
6
6
7
7
A
B
C
Triangle ABC has vertices A(0, −1), B(3, −1), C(0, 2). Rotate 90° clockwise about the origin. Write the coordinates of the image.
A′
B′
C′