Translations, Dilations, Rotations and Reflections

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1 Transformations Interactive Notes Translations, Dilations, Rotations and Reflections

2 This product involves four pages of interactive notes on translations, dilations, rotations and reflections. Each note page provides an opportunity for students to complete the definition, examine and compare the angles and sides of the images, list the pre-image and image coordinates and to describe in words the transformation completed. graph is provided with the pre-image. Students can use colored pencils to graph the additional images. n answer key is provided.

3 omplete the notes on transformations. ut out the notes along the dotted lines and glue them in your notebook. Translations transformation in which each point of a figure moves the same in the same. In a translation, the pre-image & image are. The corresponding angles have the The corresponding sides have the measurement. measurement. Pre- (, ) (, ) (, ) (x + 5, y + 2) ʹ (, ) ʹ (, ) ʹ (, ) In words, describe the translation. Translations transformation in which each point of a figure moves the same in the same. In a translation, the pre-image & image are. The corresponding angles have the The corresponding sides have the measurement. measurement. Pre- (, ) (, ) (, ) (x + 5, y + 2) ʹ (, ) ʹ (, ) ʹ (, ) In words, describe the translation. (x + 8, y - 8) ʺ (, ) ʺ (, ) ʺ (, ) In words, describe the translation. (x + 8, y - 8) ʺ (, ) ʺ (, ) ʺ (, ) In words, describe the translation. What rule could be used to translate the figure so it would be located in quadrant 3? (, ) What rule could be used to translate the figure so it would be located in quadrant 3? (, ) The lever lover, 2016

4 Dilations transformation in which each point of a figure or with respect to a fixed point, called the. In a translation, the pre-image & image are. The corresponding sides are. Pre- (, ) (, ) (, ) (2x, 2y) ʹ (, ) ʹ (, ) ʹ (, ) In words, describe the dilation. Dilations transformation in which each point of a figure or with respect to a fixed point, called the. In a translation, the pre-image & image are. The corresponding sides are. Pre- (, ) (, ) (, ) (2x, 2y) ʹ (, ) ʹ (, ) ʹ (, ) In words, describe the dilation. (! x,! y) " " ʺ (, ) ʺ (, ) ʺ (, ) In words, describe the dilation. (! x,! y) " " ʺ (, ) ʺ (, ) ʺ (, ) In words, describe the dilation. ompare the area of the pre-image to the image. Did the area double in size? ompare the area of the pre-image to the image. Did the area double in size? The lever lover, 2016

5 omplete the notes on transformations. ut out the notes along the dotted lines and glue them in your notebook. Rotations transformation in which a figure is through a given angle, called the, and in a given direction about a fixed point, called the. In a rotation, the pre-image & image are. The corresponding sides have the measurement. 90 lockwise 90 ounter lockwise 180 Rotation (x, y) f (y, -x) (x, y) f (-y, x) (x, y) f (-x, -y) Pre- oordinates (, ) (, ) (, ) 90 lockwise ʹ (, ) ʹ (, ) ʹ (, ) 90 ounter lockwise ʺ (, ) ʺ (, ) ʺ (, ) 180 Rotation (, ) (, ) (, ) Rotations transformation in which a figure is through a given angle, called the, and in a given direction about a fixed point, called the. In a rotation, the pre-image & image are. The corresponding sides have the measurement. 90 lockwise 90 ounter lockwise 180 Rotation (x, y) f (y, -x) (x, y) f (-y, x) (x, y) f (-x, -y) Pre- oordinates (, ) (, ) (, ) 90 lockwise ʹ (, ) ʹ (, ) ʹ (, ) 90 ounter lockwise ʺ (, ) ʺ (, ) ʺ (, ) 180 Rotation (, ) (, ) (, ) Using three different Using three different What would the coordinates be if the pre-image was rotated 270 clockwise? What would the coordinates be if the pre-image was rotated 270 clockwise? The lever lover, 2016

6 omplete the notes on transformations. ut out the notes along the dotted lines and glue them in your notebook. Reflections transformation in which a figure is, in a line, called the. In a rotation, the pre-image & image are. The corresponding sides have the measurement. the x - axis the y-axis (x, y) f (x, -y) (x, y) f (-x, y) Pre- oordinates (, ) (, ) (, ) the x-axis ʹ (, ) ʹ (, ) ʹ (, ) the y-axis ʺ (, ) ʺ (, ) ʺ (, ) Reflections transformation in which a figure is, in a line, called the. In a reflection, the pre-image & image are. The corresponding sides have the measurement. the x - axis the y-axis (x, y) f (x, -y) (x, y) f (-x, y) Pre- oordinates (, ) (, ) (, ) the x-axis ʹ (, ) ʹ (, ) ʹ (, ) the y-axis ʺ (, ) ʺ (, ) ʺ (, ) figure has line symmetry if a line, called the, divides the figure into two parts that are of each other in the line. figure has line symmetry if a line, called the, divides the figure into two parts that are of each other in the line. The lever lover, 2016

7 omplete the notes on transformations. ut out the notes along the dotted lines and glue them in your notebook. Translations transformation in which each point of a figure moves the same distance in the same direction. In a translation, the pre-image & image are congruent. The corresponding angles have the same measurement. The corresponding sides have the same measurement. Pre- (-8, 8) (-8, 3) (-4, 3) (x + 5, y + 2) ʹ (-3, 10) ʹ (-3, 5) ʹ ( 1, 5) In words, describe the translation. The image moved five units to the right and up two units. (x + 8, y - 8) ʺ (0, 0) ʺ (0, -5) ʺ (4, -5) In words, describe the translation. The image moved eight units to the right and down eight units. ʹ ʹ ʺ ʺ ʹ ʺ What rule could be used to translate the figure so it would be located in quadrant 3? Possible nswer: (x - 1, y - 10) Dilations transformation in which each point of a figure stretches or shrinks with respect to a fixed point, called the center of dilation. In a translation, the pre-image & image are similar. The corresponding angles have the same measurement. The corresponding sides are proportional. Pre- (0, 5) (0, 0) (5, 0) (2x, 2y) ʹ (0, 10) ʹ (0, 0) ʹ (10, 0) In words, describe the dilation. The image doubled in size. (! x,! y) " " ʺ (0, 2.5) ʺ (0, 0) ʺ (2.5, 0) In words, describe the dilation. The image is half the size of the pre-image. ʺ ʹʺ ʹ ʹ ompare the area of the pre-image to the image. Did the area double in size? The lever lover, 2016

8 omplete the notes on transformations. ut out the notes along the dotted lines and glue them in your notebook. Rotations transformation in which a figure is turned through a given angle, called the angle of rotation, and in a given direction about a fixed point, called the center of rotation. In a rotation, the pre-image & image are congruent. The corresponding angles have the same measurement. The corresponding sides have the same measurement. 90 lockwise 90 ounter lockwise 180 Rotation (x, y) f (y, -x) (x, y) f (-y, x) (x, y) f (-x, -y) Pre- oordinates (2, 6) (2, 1 ) (6, 1 ) 90 lockwise ʹ (6, -2) ʹ (1, -2) ʹ (1, -6) 90 ounter lockwise ʺ (-6, 2) ʺ (-1, 2) ʺ (-1, 6) 180 Rotation (-2, -6) (-2, -1) (-6, -1) ʺ ʺ ʺ ʹ ʹ ʹ Using three different What would the coordinates be if the pre-image was rotated 270? The coordinates would be the same as the 90 counter clockwise coordinates. Reflections transformation in which a figure is reflected or flipped in a line, called the line of reflection. In a reflection, the pre-image & image are congruent. The corresponding angles have the same measurement. The corresponding sides have the same measurement. the x - axis the y-axis (x, y) f (x, -y) (x, y) f (-x, y) Pre- oordinates (3, 8) (3, 3) (7, 3) the x-axis ʹ (3, -8) ʹ (3, -3) ʹ (7, -3) the y-axis ʺ (-3, 8) ʺ (-3, 3) ʺ (-7, 3) ʺ ʺ ʺ ʹ ʹ ʹ figure has line symmetry if a line, called the line of symmetry, divides the figure into two parts that are reflections of each other in the line. The lever lover, 2016

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9 Thank you for your download! If you thought this was a quality activity you would use in your classroom, please consider following me on TpT. I appreciate your feedback! y leaving feedback, you can earn TpT credits for future TpT purchases. If you have any questions, please send me an at clever.clover17@gmail.com opyright 2016 The lever lover This resource was created by The lever lover and must be used by the original purchaser for his/her classroom. ll rights reserved. It may be printed or photocopied but may not be reproduced, sold, transmitted, or put on the internet without written permission from the author. dditional licenses are available at a discounted price. redits: lever lover Logo Design by Rebecca designs Fonts by KG Fonts lack Graph paper by The Enlightened Elephant Frame by Lovin Lit ackground & Frame by rpowe r-megan-fav re reated by

Contents. Congruent Triangles. Additional Practice Answers to Check Your Work. Section

Contents. Congruent Triangles. Additional Practice Answers to Check Your Work. Section Contents Section Congruent Triangles Flip, Turn, Resize, and Slide 1 Transformed Triangles 2 Constructing Parallel Lines 5 Transformations 6 Reflections 7 Rotations 10 Summary 13 Check Your Work 14 Additional