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EQ: How can you investigate transformations? Lesson 13-5b Transformations pp. 532-533 Vocabulary to watch out for this lesson: Transformation Translation Reflection Rotation

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EQ: How can you investigate transformations? A transformation is a movement of a figure. There are 3 types of transformations. They include: –Translations – slides –Reflections – flips –Rotations – turns In a translation, a figure is slid horizontally, vertically, or both.

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Perform a translation of a figure on a coordinate grid. On the graph paper you’ve been given, draw a parallelogram like the one shown below. Label the vertices ABCD. EQ: How can you investigate transformations?

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Now, move that parallelogram over 5 units to the right. Draw your new parallelogram. Label the vertices A’, B’, C’, and D’. Parallelogram A’B’C’D’ is the image of parallelogram ABCD after a translation 5 units to the right. EQ: How can you investigate transformations?

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Perform a reflection of a figure on a coordinate grid In a reflection, a figure is flipped over a line. Draw a parallelogram as shown below. Label the vertices A, B, C, D. EQ: How can you investigate transformations?

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Trace the reflection of the parallelogram. Label the vertices A’, B’ C’, D’. Parallelogram A’B’C’D’ is the image of parallelogram ABCD reflected over the y- axis. EQ: How can you investigate transformations?

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Perform a rotation of a figure on a coordinate grid. In a rotation, a figure is rotated about a point. Draw a parallelogram on the coordinate grid as shown. Label the vertices A, B, C, and D. Rotate the figure 90˚clockwise about the origin. Then draw the rotation of the figure. Label the vertices A’, B’ C’, D’. Parallelogram A’B’C’D’ is the image of parallelogram ABCD rotated 90˚clockwise about the origin. EQ: How can you investigate transformations?

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Your Turn Draw a quadrilateral like the one shown. Perform each transformation described on a coordinate plane. –A translation 5 units to the left –A reflection across the y- axis –A 90˚ rotation counterclockwise EQ: How can you investigate transformations?

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Perform a rotation of a figure on a coordinate grid. In a rotation, a figure is rotated about a point. Draw a parallelogram on the coordinate grid as shown. Label the vertices A, B, C, and D. Rotate the figure 90˚clockwise about the origin. Then draw the rotation of the figure. Label the vertices A’, B’ C’, D’. Parallelogram A’B’C’D’ is the image of parallelogram ABCD rotated 90˚clockwise about the origin. EQ: How can you investigate transformations?

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NO HOMEWORK! EQ: How can you investigate transformations?

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