8-10 transformations warm up warm up lesson presentation lesson presentation problem of the day...
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8-10 Transformations
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
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8-10 Transformations
Warm UpFind the supplement of each angle.
1. 35°
2. 95°
145°
85°
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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
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8-10 Transformations
Learn to use translations, reflections, and rotations to transform geometric shapes.
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8-10 Transformations
Vocabulary
transformationtranslationrotationreflectionline of reflection
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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8-10 Transformations
A full turn is a 360°
rotation. So a turn
is 90°, and a turn
is 180°.
12__
14__
90°
180°
360°
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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.
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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.
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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.
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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.
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8-10 Transformations
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
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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
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8-10 Transformations
1. Identify the transformation of the figure.
A. translation B. reflection C. rotation D. none
Lesson Quiz for Student Response Systems
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8-10 Transformations
2. Identify the horizontal reflection of the figure.
A. B.
C. D.
Lesson Quiz for Student Response Systems