6 th Grade Math Homework Chapter 7.9 Page #1-6 & SR Answers

6 th Grade Math Homework Chapter 7.10 Page #6-14 & SR

Ch 7 Learning Goal: PLANE GEOMETRY Learn to describe the figures by using the terms of geometry (7-1) Learn to name, measure, classify, estimate and draw angles (7-2) Learn to understand relationship of angles (7-3) Learn to classify the different types of lines (7-4) Learn to classify triangles and solve problems involving angle and side measures of triangles (7-5) Learn to identify, classify, and compare quadrilaterals (7-6) Learn to identify regular and not regular polygons and to find the angle measures of regular polygons (7-7) Learn to recognize, describe, and extend geometric patterns (7-8) Learn to identify congruent figures and to use congruence to solve problems (7-9) Learn to use translations, reflections, and rotations to transform geometric shapes (7-10) Learn to identify line symmetry (7-11) Learn to identify tessellations and shapes that can tessellate (7-12)

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

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 Course 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 Transformations

Today’s Learning Goal Assignment Learn to use translations, reflections, and rotations to transform geometric shapes. Course Transformations

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

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

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

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. Course 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. Course 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. Course 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. Course Transformations B.

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

A full turn is a 360° rotation. So a turn is 90°, and a turn is 180°. 1 2 __ ° 180° 360° Course 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. Course 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. Course 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. Course 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. Course 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 Insert Lesson Title Here Course Transformations