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

2. 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

3. 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

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

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

6. 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.

7. 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.

8. 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.

9. 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.

10. 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.

11. 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.

12. 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.

13. 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.

14. 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.

15. 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.

16. 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°

17. 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.

18. 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.

19. 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.

20. 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.

21. 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