Transformations.

Transformations

Translations, Reflections and Rotations.

Follow The following steps whenever we do a translation.

Open Ended

Graph the following translation:

(Write here the Image points A' B' C', and graph on your graph papers)

Open Ended

Graph the following translation:

(Write here the Image points A' B' C' D', and graph on your graph papers)

Multiple Choice

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)

Open Ended

Multiple Choice

What is the Algebraic Notation for this Reflection?

• (x, y) → (y, x)
• (x, y) → (-x, y)
• (x, y) → (-y, -x)
• (x, y) → (x, -y)

Multiple Choice

Reflections over the x-axis change the ____-__________. 

• y-coordinate
• x-coordinate

Multiple Choice

What is a reflection?

• When you turn an object around a point.
• When you slide an object form one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

Multiple Choice

Is the picture being reflected in the y-axis or x-axis?

• y-axis
• x-axis

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Multiple Choice

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Multiple Choice

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise?

• (x,y)→(y, -x) 
• (x,y)→(-x,-y)
• (x,y)→(-y,x)
• (x,y)→(x,y)

Multiple Choice

The image A'B'C' is a rotation of ABC.

• True
• False