EQ: How can you investigate transformations?

Lesson 13-5bLesson 13-5bTransformationsTransformations

pp. 532-533pp. 532-533

Vocabulary to watch out for this lesson:•Transformation•Translation•Reflection•Rotation

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.

Perform a translation of Perform a translation of a figure on a coordinate a figure on a coordinate

grid.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?

• 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?

Perform a reflection of a Perform a reflection of a figure on a coordinate figure on a coordinate

gridgrid• 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?

• 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?

Perform a rotation of a figure on a Perform a rotation of a figure on a coordinate grid.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?

Your TurnYour 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?

Perform a rotation of a figure on a Perform a rotation of a figure on a coordinate grid.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?

NO NO HOMEWORKHOMEWORK

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EQ: How can you investigate transformations?