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MA.912.G.2.4 Transformations

What You Need To Know...

Transforming polygons to determine congruence, similarity, and symmetry.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may include coordinate geometry.
  3. Items may include translations, reflections, rotations, dilations, and scale factors.
  4. Items may require that students provide the length of a segment or the x-coordinate (or the y-coordinate) of a point.  

Example One

A top view of downtown Rockford is shown on the grid below, with Granite Park represented by quadrilateral ABCD.  The shape of a new park, Mica Park, will be similar to the shape of Granite Park.  Vertices L and  M will be plotted on the grid to form quadrilateral JKLM, representing Mica Park.

2-4.jpg

 

Which of the following coordinates for L and  M  could be vertices of JKLM  so that the shape of Mica Park is similar to the shape of Granite Park?

  1. L(4, 4),  M(4, 3)
  2. L(7, 1),  M(6, 1) 
  3. L(7, 6),  M(6, 6) 
  4. L(8, 4),  M(8, 3)

CLICK HERE FOR SOLUTION

Example Two

Pentagon ABCDE is shown below on a coordinate grid.  The coordinates of  A, B, C, D, and  E all have integer values.

2-4B.jpg

 

If pentagon ABCDE  is rotated 90º clockwise about point A to create pentagon A'B'C'D'E',  what will be the x-coordinate of E'?

Blank Grid.jpg

CLICK HERE FOR SOLUTION

ABCDE 

Additional Examples

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Intro to Transformations

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Translations

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Rotations

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Reflections

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Dilations and Scale Factor

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Reference Sheet

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