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,

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