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a. 1. Identify the image of point P under the following transformations. a translation along vector...
GEOMETRY Exam 9-Continued Student Number Student's Name 17. The vertices of AABC are A(-1, 1), B(0, 3), and C(3,4). Graph the image of AABC after a composition of the following transformations in the order they are listed. B A. Translation: (x. y)(x-3,y- 3) Reflection: in the line y x Is the composition a glide reflection? Yes No Yes Is the image the same if the order of the transformations is switched? (reflection, then glide) No 18. The vertices of AABC...
(0. 0), (0.2), and e2an model for uclidean geometry. Find the images of the points (0, 0), (0,2), and (2, 1) under the following isometries. ssume the Cartesian mod 1. A (a) The reflection across the line with equation x y. (b) The reflection across the line x y 5. (c) The half-turn about (-1, 1). (d) The rotation through 45e in the counterclockwise direction about the point (2,2). (e) The glide reflection GAB, where A (-2.0) and B (0.1)...
D is the image of D under a glide reflection having axis L. Find the image of the polygon ABCDE under the glide reflection Choose the correct answer below ○B. O C. O D. C7 AB
D is the image of D under a glide reflection having axis L. Find the image of the polygon ABCDE under the glide reflection Choose the correct answer below ○B. O C. O D. C7 AB
A point p(7,3,1)" is attached to a frame Fnoa and is subjected to the following transformations. Find the coordinates of the point relative to the reference frame at end of all transformations. 1. Rotation of 90° about the z-axis. 2. Followed by a rotation of 90° about the y-axis 3. Followed by a translation of [4,-3,7].
Let TRm → Rn be a linear transformation, and let p be a vector and S a set in R Show that the image of p + S under T is the translated set T(p) + T(S) n R What would be the first step in translating p+ S? OA. Rewrite p+ S so that it does not use sets. O B. Rewrite p+S so that it does not use vectors O c. Rewrite p + S as a difference...
Find the image of the set S under the following
transformations.
1) S= {(u,v)
R2 | 0
u
3, 0
u
2 }, x=2u+3v and y=u-v
2) S= [0,1] x [0,1], x=v and y=u(1+v2)
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Translations 2 Name: Date: 10 Translation T maps point (26) to point (4,-1). What is the image of point (-1,3) under translation T? A translation maps P(3,-2) to P'(1, 1). Under the same translation, find the coordinates of ', the image of e-3,2) 11 A translation maps P(4, 1) to P '(2. - 1). What are the coordinates of Q', the image of C,3) under the same translation? 12 13 A translation maps P(4,-3) onto P'(0, 0). Find the coordinates...
-4 Point P(7.3.2) is attached to the frame (n.o.a), find the new coordinate of the point with respect to the reference Frame if the (n,o,a) is subjected to the transformation: a) Rotation of 90 about z-axis b) Rotation of 90° about y-axis c) Translation of [4,-3,7]
-4 Point P(7.3.2) is attached to the frame (n.o.a), find the new coordinate of the point with respect to the reference Frame if the (n,o,a) is subjected to the transformation: a) Rotation of 90...
15. Identify All the Transformations in the Following Function: a) Basic Function; b) Vertical shift; c) Horizontal shift; d) Reflection; e) Compress or Stretch F(x) = - V-7-3 Oa) Cubic Root; b) Down 3; c) Left 7; d) No reflection; e) Stretch O a) Cubic Root; b) Down 3; c) Right 7; d) Reflection axis; e) Compress over 2 d) Reflection over O a) Cubic; b) Down 3; c) Left 7; 2 - axis; e) Compress O a) Cubic Root;...
Use a rectangular coordinate system to plot u = v= and their images under the given transformation T. Describe geometrically what T does to each vector x in R? X1 T(x) 00 01 X2 Which graph below shows u and its image under the given transformation? OA. OB. OC. OD. 2 Which graph below shows v and its image under the given transformation? OA OB O C. OD X1 2411 What does T do geometrically to each vector x in...