1. 7-7 Intro to Transformations Warm Up
Course 3
7-7
Intro to Transformations
Warm Up
Determine if the following sets of points form a parallelogram. You may use graph paper.
1. (–3, 0), (1, 4), (6, 0), (2, –4)
yes
2. (1, 2), (–2, 2), (–2, 1), (1, –2) no
3. (2, 3), (–3, 1), (1, –4), (6, –2)
yes

2. Course 3
7-7
Transformations
Standard(s): MCC8G1. Verify experimentally the properties of rotations, reflections, translations.
EQ: What is the relationship between reflections, translations, and rotations? How are dilations different?
transformation
center of rotation
image
reflection
translation
dilation
rotation
center of dilation
Word Wall

3. 7-7 Transformations When you are on an amusement park ride,
Course 3
7-7
Transformations
When you are on an amusement park ride,
you are undergoing a transformation. Ferris wheels and merry-go-rounds are rotations. Free fall rides and water slides are translations. Translations, rotations, and reflections are type of transformations.

4. Course 3
7-7
Transformations
The resulting figure or image, of a translation, rotation or reflection is congruent to the original figure.

5. Additional Example 1: Identifying Transformations
Course 3
7-7
Transformations
Additional Example 1: Identifying Transformations
Identify each as a translation, rotation, reflection, dilation, or none of these. A. B.
reflection
rotation
A’ is read “A prime”. The point A is the image of point A.
Reading Math

6. Additional Example 1: Identifying Transformations
Course 3
7-7
Transformations
Additional Example 1: Identifying Transformations
Identify each as a translation, rotation, reflection, dilation, or none of these. C. D.
dilation
translation

7. 7-7 Transformations Check It Out: Example 1
Course 3
7-7
Transformations
Check It Out: Example 1
Identify each as a translation, rotation, reflection, dilation, or none of these. A. B. A B A’ B’ C’ A D C A’ B’ C’ D’ C B
translation
reflection

8. 7-7 Transformations Check It Out: Example 1
Course 3
7-7
Transformations
Check It Out: Example 1
Identify each as a translation, rotation, reflection, dilation, or none of these. E’ C. D. A’ F’ D’ A B B’ C’ F C D
rotation
none of these E

9. 5-6
Dilations
Your pupils are the black areas in the center of your eyes. When you go to the eye doctor, the doctor may dilate your pupils, which makes them larger.
Translations, reflections, and rotations are transformations that do not change the size or shape of a figure. A dilation is a transformation that changes the size, but not the shape, of a figure. A dilation can enlarge or reduce a figure.

10. 5-6
Dilations
Every dilation has a fixed point that is the center of dilation. To find the center of dilation, draw a line that connects each pair of corresponding vertices. The lines intersect at one point. This point is the center of dilation.

11. 5-6 Dilations Additional Example 1: Identifying Dilations
Tell whether each transformation is a dilation. A. B.
The transformation
is not a dilation.
The figure is distorted.
The transformation
is a dilation.

12. 5-6 Dilations Additional Example 1: Identifying Dilations
Tell whether each transformation is a dilation. D. C.
The transformation
is not a dilation.
The figure is distorted.
The transformation
is a dilation.

13. 5-6 Dilations Check It Out: Example 1
Tell whether each transformation is a dilation. B A C A' B' C' A. A B C B. A' B' C'
The transformation
is a dilation.
The transformation
is not a dilation.
The figure is distorted.

14. 5-6 Dilations Check It Out: Example 1
Tell whether each transformation is a dilation. D. A' B' C' A B C C. A' B' C' A B C
The transformation
is not a dilation.
The figure is distorted.
The transformation
is a dilation.

15. 7-7 Transformations Try this!!!
Course 3
7-7
Transformations
Try this!!!
Given the coordinates for the vertices of each pair of quadrilaterals, determine whether each pair represents a translation, rotation, reflection, dilation, or none of these.
1. (2, 2), (4, 0), (3, 5), (6, 4)
and
(3, –1), (5, –3), (4, 2), (7, 1)
translation
2. (2, 3), (5, 5), (1, –2), (5, –4)
and
(–2, 3), (–5, 5), (–1, –2), (–5, –4)
reflection

16. 7-7 Transformations Try this!!!
Course 3
7-7
Transformations
Try this!!!
Given the coordinates for the vertices of each pair of quadrilaterals, determine whether each pair represents a translation, rotation, reflection, dilation, or none of these.
3. (1, 3), (–1, 2), (2, –3), (4, 0)
and
(1, –3), (–1, 2), (–2, 3), (–4, 0)
none
4. (4, 1), (1, 2), (4, 5), (1, 5)
and
(–4, –1), (–1, –2), (–4, –5), (–1, –5)
rotation

17. Homework
Workbook pg. 53 #1-2 & pg. 37 # 1-2