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Reflections

100

What is a reflection?

A transformation of a figure that is reflected across an axis.

200

What is the rule for reflection?

the y-axis is (x,y)→(−x,y) and the x-axis is (x,y)→(x,−y).

300

Reflect the point (2, -4) over the y-axis.

(-2,-4)

Rotations

100

What is a rotation?

Rotation is a circular movement of an object around a center of rotation.

200

What is the rule for rotation?

Clockwise                                   Counter Clockwise

90^o (x,y)----> (y,-x)                 90(x,y)--->(-y,x)

180^o(x,y)---> (-x,-y)              180^o(x,y)--->(-x,-y)

270^o(x,y)---> (-y,x)                270^o(x,y)--->(y,-x)

360^o(x,y)---> (x,y)                360^o(x,y)---(x,y)

300

Rotate this 180 degress counter clockwise.

Q' (-1,2)

S' (-1,5)

R' (-4,2)

Translations

100

What is translation?

A translation moves objects without changing its size or shape.

200

What is the rule for translation?

In a translation, every point of the object must be moved in the same direction and for the same distance, in a translation, the initial object is called the pre-image, and the object after the translation is called the image.

300

Translate this point 5 units dow and 7 to the right.

(2,-3)