Making the Moves

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Transformations on an Isometric Grid.

(A). Translate

  • Select the Vector tool
  • Click on the original point and then the new point. You should see a vector. 
  • Select the Translate by Vector tool
  • Click on the figure to translate, and then click on the vector.

(B). Rotate

  • Select the Rotate around Point tool
  • Click on the figure to rotate, and then click on the center point.
  • A dialog box will open. Type the angle by which to rotate and select the direction of rotation.

(C). Reflect

  • Select the Reflect about Line tool
  • Click on the figure to reflect, and then click on the line of reflection.  

(1). Name a transformation that takes Figure A to Figure B. 

(2). Name a transformation that takes Figure B to Figure C.

(3). What is one sequence of transformations that takes Figure A to Figure C? Explain how you know.

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To Observe a Sequence of Transformations.

(1). Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.

(2). Describe a sequence of translations, rotations, and reflections that takes Polygon R to Polygon S.

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To Demonstrate Rotation of a Polygon.

(A). Here is a quadrilateral ABCD. Use the applet to draw the image of quadrilateral ABCD after 90 degrees clockwise rotation, using B as center.

(B). Here is a quadrilateral ABCD. Use the applet to draw the image of quadrilateral ABCD after 120 degrees clockwise rotation, using B as center.

(C). Here is a quadrilateral ABCD. is quadrilateral ABCD. Use the applet to draw the image of quadrilateral ABCD after 30 degrees counterclockwise rotation, using B as center.

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Examine the figures in the graph below.

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Here is quadrilateral ABCD and line . Draw the image of quadrilateral ABCD after reflecting it across line .