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Transformations of Geometric Figures - Interactive Learning

Explore transformations of shapes using different operations like rotations, translations, dilations, and reflections with interactive examples and exercises. Learn how to manipulate coordinates and perform geometric transformations step by step.

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Transformations of Geometric Figures - Interactive Learning

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  1. 13 21 5 17 9 1 WHACK-A-MOLE 14 22 6 2 18 10 15 23 7 19 3 11 24 16 8 20 12 4

  2. Triangle was transformed to triangle . Which sequence of transformations could have been used? A. 180o clockwise rotation, translate 2 units right. B. 180o clockwise rotation, translate 2 units left. C. 90o clockwise rotation, translate 2 units right. D. 90o clockwise rotation, translate 2 units left. B

  3. Triangle has the following coordinates. , , What are the coordinates of triangle if it is created by dilating triangle with point A as the center of dilation and with a scale factor of 4? A. A' (6, -6) B' (6,9) C' (-9,9) B. A' (6, -6) B' (6,3) C' (-3,3) C. A' (6, -6) B' (6,6) C' (-6,6) D. A' (6, -6) B' (3,-3) C' (-6,-3) C

  4. What are the vertices of Triangle ABC after Triangle ABC is reflected across the y-axis? A. A'(3,-5) B'(-3,-1) C'(0,2) B. A'(5,3) B'(-3,1) C'(2,0) C. A'(5,3) B'(1,-3) C'(-2,0) D. A'(-5,-3) B'(-1,3) C'(2,0) C

  5. Point H has coordinates (–7, 2). What are its coordinates after it is rotated 180° about the origin? A. (2,-7) B. (-2,7) C. (7,2) D. (7, -2 D

  6. What will the coordinates of Triangle RST be after it is translated 4 units down and 3 units left? A. R' (-1,-2) S'(8,-1) T'(5,-9) B. R' (-7,-2) S'(8,-1) T'(-1,-1) C. R' (-1,6) S'(8,7) T'(5,-1) D. R' (-7,-2) S'(2,-1) T'(-1,-9) D

  7. Erin is using a computer drawing program to make two-dimensional sketches of an airplane. The nose of the plane is located 

at the point with coordinates (–2, 3). If she translates the sketch 4 units down and 5 units right, what will the coordinates of the 
nose of the plane be? A. (8,-6) B. (-6,8) C. (3,-1) D. (-7,7) C

  8. A figure (in light gray) and its transformation (in dark gray) are shown below. A. Dilation B. Slide or Translation C. Reflection D. Reduction B

  9. Which of the following terms best describes the transformation from Figure 1 to Figure 2? A. Translation B. Rotation C. Reflection D. Congruent A

  10. By how many degrees was the image of the beaker in Figure 1 rotated clockwise about the origin to create Figure 2? A. 270o B. 180o C. 90o D. 0o A

  11. Triangle MNO has the coordinates shown below. What will the coordinates of Point be after the triangle is reflected across the y-axis? A. M'(2,3) B. M'(3,2) C. M'(-2,-3) D. M'(-3,-2) B

  12. Triangle XYZ has coordinates X(-6, 4), Y(-1, 1), and Z(6, 4). If the triangle is reflected across the x-axis, what will the coordinates of Point be? A. X'(4,6) B. X'(-6,-4) C. X'(6,-4) D. X'(6,4) B

  13. The point is reflected over the y-axis. What are the coordinates of its image point? A. (5,-3) B. (-5,-3) C. (-5,3) D. (5,3) B

  14. Point is reflected over the y-axis. It’s image, , is then reflected over the x-axis. What are the coordinates of the second image point ? A. A'' (3,-5) B. A'' (-3,5) C. A'' (3,5) D. A'' (-3,-5) A

  15. How many units has the triangle been translated right to create the dashed 
triangle? A. 4 units B. 6 Units C. 5 units D. 2 Units D

  16. Complete the figure. The dashed line is the line of symmetry. B. A. D. C. B

  17. Identify the type of transformation. A. Rotation B. Translation C. Reflection C

  18. Identify the type of transformation. A. Rotation B. Translation C. Reflection A

  19. Identify the type of transformation. A. Rotation B. Translation C. Reflection B

  20. An animated film artist creates a simple scene by translating a kite against a still background. 
Write a rule for the translation of kite 1 to kite 2. (x, y) (x - 6, y + 6) A. A (x, y) (x + 6, y - 6) B. C. D. (x, y) (x - 2, y + 2) (x, y) (x + 2, y - 2)

  21. Tell whether the transformation appears to be a dilation. Explain. A. B. Yes; the figures are similar, and the image is not turned or flipped. No; the figures are not similar A

  22. Tell whether the transformation appears to be a dilation. Explain. A. B. Yes; the figures are similar, and the image is not turned or flipped. No; the figures are not similar B

  23. A translation 6 units to the right, followed by a reflection over the x-axis B. A. C. D. A

  24. A

  25. B

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