TOC #3 Rotation and Reflection Rules



TOC #3 Rotation and Reflection Rules

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1. Graph the triangle:

A( 1, 2) B(1, 5) C( 4, 5)

2. Rotate the triangle 90o clockwise about the origin.

3. List the new coordinates:

A’( , ) B’( , )

C’( , )

[pic]

4. Graph the rectangle:

A( 1, 2) B(1, 6)

C( 4, 2) D(4, 6)

5. Rotate the rectangle 180o clockwise about the origin.

6. List the new coordinates:

A’( , ) B’( , )

C’( , ) D’( , )

[pic]

[pic]

7. Graph the rectangle:

A( -1, -6) B(-1, -2)

C( -5, -2) D(-5, -6)

8. Reflect across the x-axis and record:

A’( , ) B’( , )

C’( , ) D’( , )

9. Reflect original across the y-axis.

A’’( , ) B’’( , )

C’’( , ) D’’( , )

Rotations Method 1

1. Identify the quadrant that the rotated image should be in.

2. Turn your paper so that the quadrant is in the place where you graphed the original shape.

3. Graph using the same ordered pairs.

4. Turn you paper back to normal and record the actual ordered pairs.

-or-

Rotations RULES

To rotate 90 clockwise:

1. Make all x’s their

opposite.

(x, y) ( (-x, y)

Example: (2, 3) ( (-2, 3)

2. Switch the ordered

pair around.

(-x, y) ( (y, -x)

Example: (-2, 3) ( (3, -2)

To rotate 180 clockwise:

1. Switch all coordinates

to their opposite.

(x, y) ( (-x, -y)

Example: (-4, 6) ( (4, -6)

Reflection RULES

To reflect across the x axis:

1. Keep the x-coordinate the same and change the y-coordinate to its opposite.

(x, y) ( (x, -y)

To reflect across the y axis:

1. Change the x-coordinate to its opposite and keep the y-coordinate the same.

(x, y) ( (-x, y)

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