9
SREWSNA KROWEMOH 1. (-y, x) 10. A’(-1, 1) B’(-5, 1) C’(-5, 4) 2. (-x, -y) 14. A’(-3, -3) B’(-3, -1) C’(1, -1) 3. D 18. G 4. E 22. J 5. P 26. A 8. BC

SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

Embed Size (px)

Citation preview

Page 1: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

SREWSNA KROWEMOH

1. (-y, x) 10. A’(-1, 1) B’(-5, 1) C’(-5, 4)

2. (-x, -y)14. A’(-3, -3) B’(-3, -1) C’(1, -1)

3. D 18. G

4. E 22. J

5. P 26. A

8. BC

Page 2: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

CAN YOU HANDLE THIS!?!?!

Triangle ABC has coordinates A(2, 1), B(-1, -1), and C(0, -3).

Perform the following transformations:

1. T(-3,-5) to get A’B’C’

2. Reflect A’B’C’ over the y = -x line to get A’’B’’C’’

3. Rotate A’’B’’C’’ 90 degrees to get A’’’B’’’C’’’

Page 3: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

Symmetry

Math 2 - Lesson 63Mr. Lopez

Page 4: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

Symmetry

• A figure has symmetry if there is an isometry that maps the figure onto itself.

• There are 4 kinds of symmetry Vertical Line Symmetry Horizontal Line Symmetry Point Symmetry Rotational Symmetry

Page 5: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

Vertical Line Symmetry

• A figure has vertical line symmetry if you draw a vertical line down the middle of the figure and the left side is mapped onto the right side of the figure at every point.

• Ex:

M

Page 6: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

Horizontal Line Symmetry

• A figure has horizontal line symmetry if you draw a horizontal line across the middle of the figure and the top is mapped onto the bottom of the figure at every point.

• Ex:

D

Page 7: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

Point Symmetry

• A figure has point symmetry if you rotate the object 180 degrees and it maps onto the original image.

• Ex:

N

Page 8: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC
Page 9: SREWSNA KROWEMOH 1. (-y, x)10. A(-1, 1) B(-5, 1) C(-5, 4) 2. (-x, -y)14. A(-3, -3) B(-3, -1) C(1, -1) 3. D18. G 4. E22. J 5. P26. A 8. BC

Rotational Symmetry

• A figure has rotational symmetry if you rotate the image any rotation and it maps onto the original image.

• Ex

*