Warm Up Course 3 7-7 Intro to Transformations Determine if the following sets of points form a...
-
Upload
ximena-moseley -
Category
Documents
-
view
217 -
download
0
Transcript of Warm Up Course 3 7-7 Intro to Transformations Determine if the following sets of points form a...
Warm Up
Course 3
7-7 Intro to Transformations
Determine if the following sets of points form a parallelogram. You may use graph paper.
1. (–3, 0), (1, 4), (6, 0), (2, –4)
2. (1, 2), (–2, 2), (–2, 1), (1, –2)
3. (2, 3), (–3, 1), (1, –4), (6, –2)
yes
no
yes
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?
Word Wall
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.
Course 3
7-7 Transformations
The resulting figure or image, of a translation, rotation or reflection is congruent to the original figure.
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
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
Course 3
7-7 Transformations
Check It Out: Example 1
Identify each as a translation, rotation, reflection, dilation, or none of these.
A
B C
A. B. A B
CD
A’ B’
C’D’
translation reflection
A’
B’ C’
Course 3
7-7 Transformations
Identify each as a translation, rotation, reflection, dilation, or none of these.
BC
DE
F
C. D.
A
A’
B’C’
D’
F’
E’
rotation none of these
Check It Out: Example 1
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.
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.
5-6 Dilations
Tell whether each transformation is a dilation.
The transformation is a dilation.
The transformation is not a dilation. The figure is distorted.
Additional Example 1: Identifying Dilations
A. B.
5-6 Dilations
Tell whether each transformation is a dilation.
The transformation is a dilation.
The transformation is not a dilation. The figure is distorted.
Additional Example 1: Identifying Dilations
C. D.
5-6 Dilations
Tell whether each transformation is a dilation.
A'
B' C'
A
B C
A.
B
A
C
A'
B' C'
The transformation is a dilation.
The transformation is not a dilation. The figure is distorted.
Check It Out: Example 1
B.
5-6 Dilations
Tell whether each transformation is a dilation.
C.
The transformation is a dilation.
The transformation is not a dilation. The figure is distorted.
Check It Out: Example 1
A'
B' C'
A
B C
D.
A'
B' C'
A
B C
5-6 Dilations
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)
2. (2, 3), (5, 5), (1, –2), (5, –4)
and
(–2, 3), (–5, 5), (–1, –2), (–5, –4)
translation
reflection
Course 3
7-7 Transformations
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)
4. (4, 1), (1, 2), (4, 5), (1, 5)
and
(–4, –1), (–1, –2), (–4, –5), (–1, –5)
rotation
Try this!!!
none
Homework
Workbook pg. 53 #1-2 & pg. 37 # 1-2