Learn to use translations, reflections, and rotations to transform geometric shapes.

Learn to use translations, reflections, and rotations to transform geometric shapes.

Insert Lesson Title Here Vocabulary transformation translation rotation reflection line of reflection

A rigid transformation moves a figure without changing its size or shape. (SLIDE) So the original figure and the transformed figure are always congruent. The illustrations of the alien will show three transformations: a translation, a rotation, and a reflection. Notice the transformed alien does not change in size or shape.

A translation is the movement of a figure along a straight line. Only the location of the figure changes with a translation.

1) Draw Triangle RST using these coordinates: R (3, 5); S(5, 6); T (7,4) Translate Triangle RST up 2 units & draw it. (Outline in Red) Translate Triangle RST to the left 2 units and down 4 units. Draw it. (Outline in Blue) Translate Triangle RST to the right 1 unit and down 1 unit. Draw it. (Outline in Green) Translate Triangle RST to the left 2 units and up 1 unit. Draw it. (Outline in Orange)

Packet- Page 5 1) Draw Triangle RST using these coordinates: R (3, 5); S(5, 6); T (7,4)

Translate Triangle RST up 2 units & draw it. (Outline in Red) Packet- Page 5

Translate Triangle RST to the left 2 units and down 4 units. Draw it. (Outline in Blue) Packet- Page 5

Translate Triangle RST to the left 2 units and down 4 units. Draw it. (Outline in Blue) Packet- Page 5

A rotation is the movement of a figure around a point. A point of rotation can be on or outside a figure. The location and position of a figure can change with a rotation.

The location and position of a figure change with a reflection. 7-10 Transformations When a figure flips over a line, creating a mirror image, it is called a reflection. The line the figure is flipped over is called line of reflection.

Additional Example 1A: Identifying Transformations Tell whether each is a translation, rotation, or reflection. A. The figure is flipped over a line. It is a reflection.

Additional Example 1B: Identifying Transformations Tell whether each is a translation, rotation, or reflection. B. The figure is moved along a line. It is a translation.

Additional Example 1C: Identifying Transformations Tell whether each is a translation, rotation, or reflection. C. The figure moves around a point. It is a rotation.

Try This: Example 1A Tell whether each is a translation, rotation, or reflection. A. The figure is flipped over a line. It is a reflection.

Try This: Example 1B Tell whether each is a translation, rotation, or reflection. B. The figure moves around a point. It is a rotation.

Try This: Example 1C Tell whether each is a translation, rotation, or reflection. C. The figure is moved along a line. It is a translation.

A full turn is a 360 1 rotation. So a 4 turn is 90, and a is 180. 1 2 turn 270 360 180 90

Additional Example 2A: Drawing Transformations Draw each transformation. A. Draw a 180 rotation about the point shown. Trace the figure and the point of rotation. Place your pencil on the point of rotation. Rotate the figure 180. Trace the figure in its new location.

Additional Example 2B: Drawing Transformations Draw each transformation. B. Draw a horizontal reflection. Trace the figure and the line of reflection. Fold along the line of reflection. Trace the figure in its new location.

Try This: Example 2A Draw each transformation. A. Draw a 180 rotation about the point shown. Trace the figure and the point of rotation. Place your pencil on the point of rotation. Rotate the figure 180. Trace the figure in its new location.

Try This: Example 2B Draw each transformation. B. Draw a horizontal reflection. Trace the figure and the line of reflection. Fold along the line of reflection. Trace the figure in its new location.

Insert Lesson Title Here Lesson Quiz 1. Tell whether the figure is translated, rotated, or reflected. rotated 2. Draw a vertical reflection of the first figure in problem 1.