2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is...
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Transcript of 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is...
![Page 1: 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0666/html5/thumbnails/1.jpg)
2.3: Reflections
![Page 2: 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0666/html5/thumbnails/2.jpg)
What is a Reflection?
Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection. A reflection creates
mirror image of the original figure.
![Page 3: 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0666/html5/thumbnails/3.jpg)
Identifying a Reflection
If the red figure were flipped, it would point to the left. The blue figure is not a
reflection of the red figure.
The red figure can be flipped to form the blue figure The blue figure is a
reflection of the red figure.
Tell whether the blue figure is a reflection of the red figure.
![Page 4: 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0666/html5/thumbnails/4.jpg)
Practice
No, it is a translation.
No, it is a translation.
Yes, the red figure can be flipped to form the blue figure.
Tell whether the blue figure is a reflection of the red figure. Explain.
![Page 5: 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0666/html5/thumbnails/5.jpg)
Reflections in the Coordinate Plane
To reflect a figure in the x-axis, take the opposite of the y-coordinate.
To reflect a figure in the y-axis, take the opposite of the x-coordinate.
Reflection in x-axis:
Reflection in y-axis:
(x,y) (x, y)
(x,y) ( x,y)
![Page 6: 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0666/html5/thumbnails/6.jpg)
Reflecting a Figure in the X-Axis
The verticies of a triangle are A(-1,1), B(-1,3), and C(6,3). Draw the figure and its reflection in the x-axis. What are the coordinates of the image?
The coordinates of the image are A’(-1,-1), B’(-1,-3), and C’(6,-3)
![Page 7: 2.3: Reflections. What is a Reflection? Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0666/html5/thumbnails/7.jpg)
Reflecting a Figure in the Y-Axis
The verticies of a quadrilateral are P(-2,5), Q(-1,-1), R(-4,2) and S(-4,4). Draw the figure and its reflection in the y-axis.