8-10 Transformations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

8-10 Transformations Warm Up Find the supplement of each angle ° 2. 95° 145° 85°

8-10 Transformations Problem of the Day Imagine that each figure is folded so that point A lies on point B. What figures would be formed? trapezoid, right triangle

8-10 Transformations Learn to use translations, reflections, and rotations to transform geometric shapes.

8-10 Transformations Vocabulary transformation translation rotation reflection line of reflection

8-10 Transformations A rigid transformation moves a figure without changing its size or shape. So the original figure and the transformed figure are always congruent. A translation is the movement of a figure along a straight line. A rotation is the movement of a figure around a point. A point of rotation can be on or outside a figure. 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.

8-10 Transformations Additional Example 1A: Identifying Transformations Tell whether each is a translation, rotation, or reflection. The figure is flipped over a line. It is a reflection.

8-10 Transformations Additional Example 1B: Identifying Transformations Tell whether each is a translation, rotation, or reflection. The figure is moved along a line. It is a translation.

8-10 Transformations Additional Example 1C: Identifying Transformations Tell whether each is a translation, rotation, or reflection. The figure moves around a point. It is a rotation.

8-10 Transformations Check It Out: Example 1A Tell whether each is a translation, rotation, or reflection. The figure is flipped over a line. It is a reflection.

8-10 Transformations Check It Out: Example 1B Tell whether each is a translation, rotation, or reflection. The figure moves around a point. It is a rotation.

8-10 Transformations Check It Out: Example 1C Tell whether each is a translation, rotation, or reflection. The figure is moved along a line. It is a translation.

8-10 Transformations A full turn is a 360° rotation. So a turn is 90°, and a turn is 180°. 1 2 __ ° 180° 360°

8-10 Transformations Additional Example 2A: Drawing Transformations Draw each transformation. 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.

8-10 Transformations Additional Example 2B: Drawing Transformations Draw each transformation. 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.

8-10 Transformations Check It Out: Example 2A Draw each transformation. 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.

8-10 Transformations Check It Out: Example 2B Draw each transformation. 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.

8-10 Transformations Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

8-10 Transformations Lesson Quiz 1. Tell whether the figure is translated, rotated, or reflected. 2. Draw a vertical reflection of the first figure in problem 1. rotated

8-10 Transformations 1. Identify the transformation of the figure. A. translation B. reflection C. rotation D. none Lesson Quiz for Student Response Systems

8-10 Transformations 2. Identify the horizontal reflection of the figure. A. B. C. D. Lesson Quiz for Student Response Systems