Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.
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Transcript of Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.
![Page 1: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/1.jpg)
Algebra 1 Notes
Lesson 4-2:Transformations on the
Coordinate Plane
![Page 2: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/2.jpg)
Mathematics Standards- Number, Number Sense and Operations: Demonstrate fluency in computations using real numbers.
- Geometry and Spatial Sense: Identify the reflection and rotation symmetries of two- and three-dimensional geometric figures.
- Geometry and Spatial Sense: Perform reflections and rotation using compass and straightedge constructions and dynamic geometry software.
![Page 3: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/3.jpg)
Mathematics Standards-Geometry and Spatial Sense: Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane.
- Geometry and Spatial Sense: Show and describe the results of combinations of translations, reflections and rotations (compositions).
- Geometry and Spatial Sense: Analyze two-dimensional figures in a coordinate plane.
![Page 4: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/4.jpg)
Vocabulary
• Transformation – Movement of figures
• Preimage –image before a transformation
• Image – Image after a transformation
![Page 5: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/5.jpg)
Reflection
A figure is flipped over a line.
We will always flip figures over the x-axis or y-axis
![Page 6: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/6.jpg)
Translation
A figure is slid in any direction.
To translate a point by an ordered pair (a, b), add a to the x-coordinate and b to the y-coordinate. You can also count on a graph.
![Page 7: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/7.jpg)
Dilation
A figure is enlarged or reduced.
To dilate a figure by a scale factor k, multiply both coordinates by k.
If k > 1, the figure is enlarged.
If k < 1, the figure is reduced.
![Page 8: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/8.jpg)
Rotation
A figure is turned around a point.
To rotate a figure 90º counterclockwise about the origin, switch the coordinates of each point and then multiply the new first coordinate by -1.
To rotate a figure 180º about the origin, multiply both coordinates of each point by -1.
![Page 9: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/9.jpg)
Example 1
Identify each transformation.
a)
![Page 10: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/10.jpg)
Example 1
Identify each transformation.
a) translation
b)
dilation
![Page 11: Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649e0f5503460f94af9f71/html5/thumbnails/11.jpg)
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