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Translations can be achieved by performing two composite reflections over parallel lines. Translations are isometric, and preserve orientation. Coordinate plane rules: (x, y) (x ± h, y ± k) where h and k are the horizontal and vertical shifts. Note: If movement is left, then h is negative. If movement is down, then k is negative.
reflection across the x-axis reflection across y = − x. reflection across x = −3. reflection across the y-axis reflection across y = x. Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com.
What is the rule for reflecting a shape over the x-axis. a. (x,y) → (−x,−y) b. (x,y) → (y,x) c. (x,y) → (−x,y) d. (x,y) → (x,−y) 20. Point A(9, –4) is reflected over the y-axis. Write the coordinates of Aʹ′. a. (–9, –4) b. (9, –4) c. (9, 4) d. (–9, 4) 21. ΔABChas vertices A(–1, –2), B(–4, –4), and C(–3 ...
A. The x-coordinates are the same on both triangles while the y-coordinates are opposites. B. The x-coordinate and the y-coordinates are equal to each other in the triangles. C. The y-coordinates are the same on both triangles while the x-coordinates are opposites. D. There is no relationship between the coordinates.
Answers to 9.2 Reflections (Worksheet) (ID: 1) 16) reflection across the y-axis. 19) reflection across y = -1. 22) reflection across x = 1. 25) reflection across x = 1. 28) reflection across the y-axis. 17) reflection across the x-axis. 20) reflection across x = 1. 23) reflection across the y-axis.
Reflections and Translations Take Home Quiz Graph the image of the figure using the transformation given. 1) reflection across the x-axis x y C K W 2) translation: 4 units up x y I L E R 3) reflection across the y-axis x y B H M Z 4) translation: 1 unit left and 2 units up x y F D W E-1-
A reflection is taking a figure and flipping it over a given line. degrees A rotation is turning a figure about a point and a number of . A translation is taking a figure and sliding the figure to a new location. A dilation is enlarging or reducing an image by a scale factor k. Rules Rules Rules D (x,y) = (kx,ky) Scale factor = k T a,b
