7-10 Transformations Warm Up Problem of the Day Lesson Presentation Course 1 Warm Up Problem of the Day Lesson Presentation

Transformations 7-10 Warm Up Course 1 7-10 Transformations Warm Up Tell whether the figures described are congruent. 1. two triangles, each with sides measuring 24 cm, 32 cm, and 40 cm 2. a square with sides of length 22 cm and a rectangle with side lengths 12 cm and 11 cm congruent not congruent

Transformations 7-10 Problem of the Day Course 1 7-10 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

Course 1 7-10 Transformations Learn to use translations, reflections, and rotations to transform geometric shapes.

Insert Lesson Title Here Course 1 7-10 Transformations Insert Lesson Title Here Vocabulary transformation translation rotation reflection line of reflection

Course 1 7-10 Transformations A rigid transformation moves a figure without changing its size or shape. So the original figure and the transformed figure are always congruent. 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.

Course 1 7-10 Transformations A translation is the movement of a figure along a straight line. Only the location of the figure changes with a translation.

Course 1 7-10 Transformations 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.

Course 1 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. The location and position of a figure change with a reflection.

Additional Example 1A: Identifying Transformations Course 1 7-10 Transformations 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 Course 1 7-10 Transformations 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 Course 1 7-10 Transformations 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.

Transformations 7-10 The figure is flipped over a line. Course 1 7-10 Transformations 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.

Transformations 7-10 The figure moves around a point. Course 1 7-10 Transformations Try This: Example 1B Tell whether each is a translation, rotation, or reflection. B. The figure moves around a point. It is a rotation.

Transformations 7-10 The figure is moved along a line. Course 1 7-10 Transformations 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.

Transformations A full turn is a 360° rotation. So a turn Course 1 7-10 Transformations A full turn is a 360° rotation. So a turn is 90°, and a turn is 180°. 1 2 __ 4 360° 90° 180°

Additional Example 2A: Drawing Transformations Course 1 7-10 Transformations 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 Course 1 7-10 Transformations 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.

Transformations 7-10 Try This: Example 2A Draw each transformation. Course 1 7-10 Transformations 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.

Transformations 7-10 Try This: Example 2B Draw each transformation. Course 1 7-10 Transformations 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 Course 1 7-10 Transformations Insert Lesson Title Here 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