Honors Geometry Companion Book, Volume 1

1.2.3 Transformations in the Coordinate Plane − Practice

1.  Identify the transformation suggested by a boy climbing up a ladder. ○ translation ○ reflection ○ rotation ○ none 3.  A figure has vertices at L (3, 3), M (2, 4), and N (−1, 0). After a transformation, the image of the figure has vertices at L ′(−6, 3), M ′(−5, 4), and N ′(−2, 0). Graph the preimage, the image and the transformation.

2.  A figure has vertices at W (−5, −2), X (−2, −2), Y (−2, −4), and

Z (−5, −4). After a transformation the image of the figure has vertices at W ′(1, 5), X ′(4, 5), Y ′(4, 3), and Z ′(1, 3). Graph the preimage, the image, and the transformation.

4.  Given points U (−4, 4) and V (5, 1), Graph UV and its reflection across the x -axis.

5.  Given points W (−1, −2), F (−1, −5), and M (−3, −5), Graph △ WFM and its reflection across the x -axis.

6.  Find the coordinates of the image of J (−7, −3) after the translation ( x , y ) → ( x − 4, y + 6).

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