Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a...
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Transcript of Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a...
![Page 1: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/1.jpg)
![Page 2: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/2.jpg)
Warm up
Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line)
Y = 0 X = 4
X = 0 X = 1
Y = -3 Y = -2
These graphs are in your notes
![Page 3: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/3.jpg)
SWBAT reflect an image across a line of reflection
SWBAT write a rule describing a reflection
![Page 4: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/4.jpg)
4 Types of Transformations
translations
Reflections
Rotations
Dilations
![Page 5: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/5.jpg)
Reflections
Reflections: Not just for thinking about your feelings anymore!
Useful for a variety of things, such as:
![Page 6: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/6.jpg)
Knowing what you look like
![Page 7: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/7.jpg)
Spying on people
![Page 8: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/8.jpg)
Reflecting figures across a coordinate
plane!!!
![Page 9: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/9.jpg)
Reflection Reflection: Mirroring an image across a line
of reflection
![Page 10: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/10.jpg)
I GET IT ALREADY. Reflection. Like a mirror. Show me how to do this.
![Page 11: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/11.jpg)
How to Graph ReflectionsSteps
1. Label each vertex of the original figure
2. Draw a line at the line of reflection
3. Count the distance each vertex is from the line of reflection.
4. Plot your prime vertices the same distance from the line of reflection as the original vertices.
5. Connect your new points and label them as prime.
Model: y = 1
A
BC
D
A’
B’
C’
D’
![Page 12: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/12.jpg)
Example 2Steps
1. Label each vertex of the original figure
2. Draw a line at the line of reflection
3. Count the distance each vertex is from the line of reflection.
4. Plot your prime vertices the same distance from the line of reflection as the original vertices.
5. Connect your new points and label them as prime.
Model: x = -2
A B
CD
B’ A’
C’ D’
![Page 13: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/13.jpg)
Example #3Steps
1. Label each vertex of the original figure
2. Draw a line at the line of reflection
3. Count the distance each vertex is from whatever line you’re reflecting over.
4. Plot your prime vertices the same distance from the line of reflection as the original vertices.
5. Connect your new points and label them as prime.
Model: x-axis
S’
R’
Q’
P’
![Page 14: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/14.jpg)
Example #4Steps
1. Label each vertex of the original figure
2. Draw a line at the line of reflection
3. Count the distance each vertex is from the line of reflection.
4. Plot your prime vertices the same distance from the line of reflection as the original vertices.
5. Connect your new points and label them as prime.
Model: x = 2
A
B
C
D
A’
D’B’
C’
![Page 15: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/15.jpg)
![Page 16: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/16.jpg)
Ms. Ramsel, shapes ask ME what to do! I
don’t follow rules, I WRITE them!
![Page 17: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/17.jpg)
Write A Rule of ReflectionSteps
1. Count the distance between a vertex and it’s prime
2. Divide that distance by 2 to find the middle
3. Move the vertex by the quotient and draw in the line of reflection
4. Write the equation of a line through that point
REMEMBER!!! A. Vertical lines will be in the form of x = ___ B. Horizontal lines will
be in the form of y = ___
Model
22/2 = 1
Line of Reflection is y = 0
![Page 18: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/18.jpg)
Write a Rule of ReflectionSteps Model
1. Count the distance between a vertex and it’s prime
2. Divide that distance by 2 to find the middle
3. Move the vertex by the quotient and draw in the line of reflection
4. Write the equation of a line through that point
REMEMBER!!! A. Vertical lines will be in the form of x = ___ B. Horizontal lines will be in the form of y = ___
88/2 = 4
X = 0 ORLine of reflection is the Y-axis
![Page 19: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/19.jpg)
Write A Rule of ReflectionSteps
1. Count the distance between a vertex and it’s prime
2. Divide that distance by 2 to find the middle
3. Move the vertex by the quotient and draw in the line of reflection
4. Write the equation of a line through that point
REMEMBER!!! A. Vertical lines will be in the form of x = ___ B. Horizontal lines will be in the form of y = ___
Model
A
BC
A’
B’
C’
33/2 = 1.5
Y = .5
![Page 20: Warm up Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line) Y = 0X = 4 X = 0X = 1 Y = -3Y = -2.](https://reader034.fdocuments.us/reader034/viewer/2022052414/56649f415503460f94c6065d/html5/thumbnails/20.jpg)