√70以上 reflection over y=x rule 245487-Reflection across y=x rule
Quiz & Worksheet Goals In these assessments, you'll be tested on The rules that govern reflections across both the x and y axes individually Identifying y=x reflections Identifying reflections The rule for reflecting over the X axis is to negate the value of the ycoordinate of each point, but leave the xvalue the same For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,4)To reflect a figure across a line of reflection, reflect each of its vertices Then connect the vertices to form the image Each point and its image must be at the same distance from the line of reflection We can use the rules shown in the table for changing the signs of the coordinates after a reflection

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Reflection across y=x rule
Reflection across y=x rule-Glide Reflection A glide reflection is a composition of transformations In a glide reflection, a translation is first performed on the figure, then it is reflected over a line Therefore, the only required information is the translation rule and a line to reflect over A common example of glide reflections is footsteps in the sandA reflection of a point over the x axis is shown The rule for a reflection over the x axis is (x, y) → (x, − y) Reflection in the y axis A reflection of a point over the y axis is shown




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Kite abcd is reflected over the line y = x what rule shows the input and output of the reflection, and what is the new coordinate of a'?Click and drag the blue dot and watch it's reflection across the line y=x (the green dot) Pay attention to the coordinates How do they relate to each other?Reflections and Rotations We can also reflect the graph of a function over the xaxis (y = 0), the yaxis(x = 0), or the line y = x Making the output negative reflects the graph over the xaxis, or the line y = 0 Here are the graphs of y = f (x) and y = f (x)
REFLECTIONS Reflections are a flip The flip is performed over the "line of reflection" Lines of symmetry are examples of lines of reflection Reflections are isometric, but do not preserve orientation Coordinate plane rules Over the xaxis (x, y) (x, –y) Over the yaxis (x, y) (–x, y)14 Reflections Over y = x, y = –x, y = #, & x = # Geometry Directions Write the rule of the transformation (This is a mixed review) 1) A line segment is reflected over y = –x 2) A line segment is translated 5 units left & 1 unit up 3) A triangle is reflected over x = 0 4) A triangle is reflected over y = xAnswer choices Reflection across y = −1 Reflection across y = 1 Reflection across x = −1 Reflect over the line y = x answer choices (2, 4) (4, 2) (4, 2) (4, 2) s Question 18 SURVEY 30 seconds Q
The line that represents y=x has a slope of 1/1 If i am considering a point, ill refer to it as A at (4,3) and reflect it over line y=x i will be at (4,3) which i will refer to as point B I can prove this relationship using simple geometry I wiAnswer choices Reflect over the xaxis, translate (x8,y) Reflect over the xaxis then translate (x6, y) Reflect over the yaxis then (x1, y1) Translate down 4 (y4) and to the right 5 (x5) sReflection Rules STUDY Flashcards Learn Write Spell Test PLAY Match Gravity Created by paigesutula Key Concepts Terms in this set (15) reflect over xaxis (x,y) reflect over yaxis (x,y) reflect over line y=x (y,x) reflect over line y= x (y,x) reflect thru origin (x,y) reflect thru a different point ex (5,1) h=5 k= 1 (2h




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Reflect over the xaxis When you reflect a point across the x axis, the x coordinate remains the same, but the y coordinate is transformed into its opposite (its sign is changed) If you forget the rules for reflections when graphing, simply fold your paper along the x axis (the line of reflection) to see where the new figure will be located The notation or rule for a reflection over the yaxis is (x, y) → (x, y)Step 1 Extend a perpendicular line segment from to the reflection line and measure it Since the reflection line is perfectly horizontal, a line perpendicular to it would be perfectly vertical Created with Raphaël Step 2 Extend the line segment in the same direction and by the same measure Created with Raphaël




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SWBAT reflect an image over y=x On the other hand, the rule of reflection for the point reflected across y = x is, the rule would be, (x, y) > (y, x) So the values would switch places and would have the opposite sign (If the number was positive, it would be a negative, and if it was a negative number, it would turn into a positive) From the diagram we see the object point ( − 2, −5) is mapped to (x',y') by a reflection in the line X = 2 we note (1) the ycoordinate is unaffected (2) for reflections the distance from the line of reflection to the object is equal to the distance to the image point ∴ a = 2 2 = 4units so the image point is 4 units from the line of




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We have to identify the rules of reflection Firstly, the rule for reflecting a point about the line y=x is While reflecting about the line y=x, we get the reflected points by swapping the coordinates So, Option 3 is correct Now, the rule for reflecting a point about the line y= x isReflection over axis Rule Graph on Graph paper Label the image and pre image 4, Triargle A(2, 2), B(3, 0) Reflection across xaxis Rule Graph on Graph paper Label the image and pre image (Describe the transformation that is represented by the given rule 8 A(x, y) (x y 4) 10 y) (x, y 5) dam 12 (x, y) 9 Q(x, y) (x, y 2) 11 Find out the units up that the point (1, 3) is from the line, y=2 It is one unit up from the line, so go over one unit on the xaxis and drop down one unit The You should graph the regular points and the reflection points It looks good if you can graph the regular points in one color and the reflection ones in a different color




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Reflection Over y = 2 With Rule by Lance Powell on image/svgxml ShareReflection over y=mxb Adjust the inputs to y=mxb by using the slider, choosing values for m and b Observe the coordinates of the original figure and its reflectionA line segment is reflected over y = –x 3) A triangle is reflected over x = 0 2) A line segment is translated 5 units left & 1 unit up 4) A triangle is reflected over y = x




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