# Making the Moves

## Making the Moves Summary

1.4 Making the MovesUNIT 1 • LESSON 4 MAKING THE MOVESSetting the StageWHAT YOU WILL LEARNIn this lesson, I will draw and describe translations, rotations, and reflections.I can...
• Given a figure and a translation, rotation, or reflection, draw the image of the figure under the transformation.
• Given two figures, identify and describe a sequence of two transformations that takes one figure to another.
I will know I learned by...
• Demonstrating that I can use the terms translation, rotation, and reflection to precisely describe transformations.
1. Name a transformation that takes Figure A to Figure B. Name a transformation that takes Figure B to Figure C.
2. What is one sequence of transformations that takes Figure A to Figure C? Explain how you know.
Geogebra Applet (Links to an external site.)Links to an external site. Translate
1. Select the Vector tool.
2. Click on the original point and then the new point; you should see a vector.
3. Select the Translate by Vector tool.
4. Click on the figure to translate, and then click on the vector.
Rotate
1. Select the Rotate around Point tool.
2. Click on the figure to rotate, and then click on the center point.
3. A dialog box will open; type the angle by which to rotate and select the direction of rotation.
Reflect
1. Select the Reflect about Line tool.
2. Click on the figure to reflect, and then click on the line of reflection.
Are You Ready For More?Experiment with some other ways to take Figure AA to Figure CC. For example, can you do it with. . .
• No rotations?
• No reflections?
• No translations?
SummaryA move, or combination of moves, is called a transformation. When we do one or more moves in a row, we often call that a sequence of transformations. To distinguish the original figure from its image, points in the image are sometimes labeled with the same letters as the original figure, but with the symbol ′ attached, as in A′ (pronounced “A prime”).
• A translation can be described by two points. If a translation moves point A to point A′, it moves the entire figure the same distance and direction as the distance and direction from A to A′. The distance and direction of a translation can be shown by an arrow.For example, here is a translation of quadrilateral ABCD that moves A to A′.
• A rotation can be described by an angle and a center. The direction of the angle can be clockwise or counterclockwise.For example, hexagon ABCDEF is rotated 90∘counterclockwise using center P.
• A reflection can be described by a line of reflection (the “mirror”). Each point is reflected directly across the line so that it is just as far from the mirror line, but is on the opposite side.For example, pentagon ABCDE is reflected across line m.