11.4 Transformations in the Coordinate Plane

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11.4 Transformations in the Coordinate Plane

• Song

• 6.3.9 I can use translation, reflections, and
  rotations to change the positions of figures in
  the coordinate plane.

2
Warm Up Plot the ordered pairs on the coordinate
plane. Connect the points. 1. (3, 4) 2. (5,
0)? 3. (2, 0) 4. (5, 4)? 5. name the polygon
4
2
0
2
-2
4
-4
-2
-4
trapezoid?
3
Translate rectangle ABCD 4 units left. Give the
coordinates of each vertex in the image.
4
2
The vertices of the image are A(3, 2), B(1,
2), C(3, 1), and D'(1, 1).?
4
2
4
2
2
4
4
(No Transcript)
5
Translate square ABCD 5 units right. Give the
coordinates of each vertex in the image.
4
2
The vertices of the image are A(4, 1), B(1,
1), C(4, 4), and D'(1, 4).?
2
4
4
2
B
A
2
D
C
6
Reflect triangle RST across the y-axis. Give the
coordinates of each vertex in the image.
4
S
The vertices of the image are R(1, 0), S(2,
2), and T(2, 2).
R
4
T
4
7
Reflect triangle ABC across the x-axis. Give the
coordinates of each vertex in the image.
B
3
A
C
The vertices of the image are A(1, 0), B(3,
3), and C(5, 0).
3
8
Rotate triangle JKL 90 counter-clockwise about
the origin. Give the coordinates of each vertex
in the image.
J
2
2
2
K
L
2
The vertices of the image are J(2, 2), K(0,
3), and L(0, 1).
Tracing Paper
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Check It Out Example 3
Rotate triangle JKL 180 counter-clockwise about
the origin. Give the coordinates of each vertex
in the image.
The vertices of the triangle are ADC are A(3,
1), D(0, 0), and C(2, 2).
Rotate 180
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Rotation Tips

• 90 degree rotation (a,b) (-b,a)
• 180 degree rotation (a,b) (-a,-b)
• 270 degree rotation (a,b) (b,-a)

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Lesson Quiz
1. Translate triangle DEF down 5 units. Give the
coordinates of each vertex in the image.
D(1, 1), E(3, 3), F(2, 4)
2. Reflect triangle DEF across the y-axis. Give
the coordinates of each vertex in the image.
D( 1, 4), E( 3, 2), F( 2, 1)
3. Rotate triangle DEF 90? clockwise around the
origin. Give the coordinates of each vertex in
the image.
D(4, 1), E(2, 3), F(1, 2)
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Lesson Quiz for Student Response Systems
1. Describe the transformation. A. translation 3
units up B. translation 3 units down C.
reflection 3 units down D. reflection 3 units up
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Lesson Quiz for Student Response Systems
2. Give the coordinates of each vertex after
translated 2 units down. A. A(4, 2), B(2,
2), C(3, 1) B. A(4, 2), B(2, 2),
C(3, 1) C. A(4, 2), B(2, 2), C(3, 1) D.
A(4, 2), B(2, 2), C(3, 1)
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Lesson Quiz for Student Response Systems
3. Give the coordinates of each vertex after
reflected across the y-axis. A. A(4, 4), B(2,
4), C(3, 1) B. A(4, 4), B(2, 4),
C(3, 1) C. A(4, 4), B(2, 4), C(3, 1) D.
A(4, 4), B(2, 4), C(3, 1)