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Transformations - PowerPoint PPT Presentation


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Transformations. Reflections. Mirror line. Example Reflect ABCD in the given mirror line. A. D. C. B. Example Reflect triangle PQR in the given mirror line. Q. R. P. Mirror line. Example Reflect triangle LMN in the given mirror line. Mirror line. L. M. M.

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Presentation Transcript
transformations

Transformations

Reflections

slide7

y

4

3

2

1

0

x

–5

–4

–3

–2

–1

1

2

3

4

5

–1

–2

–3

–4

–5

Example Reflect triangle ABC in the x axis

A

C

B

slide8

y

4

3

2

1

0

x

–5

–4

–3

–2

–1

1

2

3

4

5

–1

–2

–3

–4

–5

Example Reflect triangle DEF in the y axis

E

F

D

slide9

y

4

3

2

1

0

x

–5

–4

–3

–2

–1

1

2

3

4

5

–1

–2

–3

–4

–5

Example Reflect triangle GHK in the line x = 1

H

K

G

slide10

y

4

3

2

1

0

x

–5

–4

–3

–2

–1

1

2

3

4

5

–1

–2

–3

–4

–5

Example Reflect triangle LMN in the line

N

M

L

slide11

y

4

3

2

1

0

x

–5

–4

–3

–2

–1

1

2

3

4

5

–1

–2

–3

–4

–5

Example Reflect triangle PQR in the line

Q

P

R

slide12

Example

  • Given ABC with A(1, 3) B(1, 5) and C(4, 5), obtain the image under the following transformations in each case.
  • Reflection in
  • Reflection in
  • Reflection in
  • Reflection in
slide13

y

4

3

2

1

0

x

–5

–4

–3

–2

–1

1

2

3

4

5

–1

–2

–3

–4

–5

  • Example
  • Given ABC with A(1, 3) B(1, 5) and C(4, 5), obtain the image under the following transformations in each case.
  • Reflection in
  • Reflection in
  • Reflection in
  • Reflection in .

C

B

A

slide14

Example

Complete the object below so that it has the given two lines of symmetry.