Transformations Guided Notes & Review
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1 Transformations Guided Notes & Review
2 Thanks for downloading! Included in this product is a guided notes sheet for students to fill in as a review/follow up to a lesson on translations and reflections on a coordinate graph, including how to write expressions using the coordinates to represent movement on the graph. This can be cut out and fits nicely on a notebook page. An answer key is included for your convenience. Also included are two practice problems each for translations and reflections. One problem gives students beginning and ending coordinates and they need to write expressions to determine the movement on the graph, as well as a sentence about the movement. The other gives students a beginning coordinate and a description of the movement, and they need to write expressions to determine the new ending coordinates. An answer key is also included for this. CCSS.MATH.CONTENT.8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
3 Transformations on a Coordinate Graph Translation (slide) To find new coordinates,. Horizontal (x): add for, subtract for Vertical (y): add for, subtract for original + or - change = new Example: A triangle has a point at (3, 5). It is translated left 8 and up 4. What are the new coordinates? x: y: New coordinates: Reflection (flip) To find new coordinates, multiply by. Across the x axis: multiply by -1. Across the y axis: multiply by -1. original * -1 = new Example: A triangle has a point at (-2, -4). It is reflected across the x axis. What are the new coordinates? x: y: New coordinates:
4 ANSWERS Transformations on a Coordinate Graph Translation (slide) To find new coordinates, add or subtract. Horizontal (x): add for right, subtract for left Vertical (y): add for up, subtract for down original + or - change = new Example: A triangle has a point at (3, 5). It is translated left 8 and up 4. What are the new coordinates? x: 3-8 = -5 y: = 9 New coordinates: (-5, 9) Reflection (flip) To find new coordinates, multiply by -1. Across the x axis: multiply y coordinates by -1. Across the y axis: multiply x coordinates by -1. original * -1 = new Example: A triangle has a point at (-2, -4). It is reflected across the x axis. What are the new coordinates? x: -2 y: -4 * -1 = 4 New coordinates: (-2, 4)
5 Translation (slide) 1. A triangle has vertices at (5, 7), (4, 12), and (2, 9). It moves right 6 and down A triangle has a point at (-1, -4). The triangle is translated and ends up at (-4, 2). Write expressions and a sentence to explain how the triangle moved. Reflection (flip) 1. A triangle has vertices at (3, 2), (4, 8), and (1, 1). It is reflected across the x axis. 2. A triangle has a point at (-5, -6). The triangle is reflected and ends up at (5, -6). Write an expression and a sentence to explain how the triangle moved.
6 Translation (slide) ANSWERS 1. A triangle has vertices at (5, 7), (4, 12), and (2, 9). It moves right 6 and down 4. x: = 11, = 10, = 8 y: 7-4 = 3, 12-4 = 8, 9-4 = 5 New coordinates: (11, 3), (10, 8), and (8, 5) 2. A triangle has a point at (-1, -4). The triangle is translated and ends up at (-4, 2). Write expressions and a sentence to explain how the triangle moved. x: -1-3 = -4 Y: = 2 The triangle moved left 3 and up 6. Reflection (flip) ANSWERS 1. A triangle has vertices at (3, 2), (4, 8), and (1, 1). It is reflected across the x axis. x: stays the same y: 2 * -1 = -2, 8 * -1 = -8, 1 * -1 = -1 New coordinates: (3, -2), (4, -8), (1, -1) 2. A triangle has a point at (-5, -6). The triangle is reflected and ends up at (5, -6). Write an expression and a sentence to explain how the triangle moved. x: -5 * -1 = 5 The triangle was reflected across the y axis.
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