Translations & Reflections

A rectangle is translated 6 units to the right and 4 units down on the coordinate plane. Which rule best describes this transformation?

• (x - 6 , y + 4)

• (x + 6 , y + 4)

• ( x - 6 , y - 4)

• ( x + 6 , y - 4)

A TRANSLATION of a figure can be considered

• A turning of the figure about some fixed point

• A slide of the figure

• An enlargement or a reduction of the figure

• A mirror image of the figure

What is the image of the point (2, 2) under the translation that shifts (x, y) to (x-2, y+4)

• (4 , 6)

• (0 , 6)

• (-4 , 3)

• (1 , -5)

Find the image of the point (3, 2) that has undergone a reflection across the x - axis

• (-3 , -2)

• (3 , -2)

• (-2 , 3)

• (2 , -3)

Find the image of the point (3, 2) that has undergone a reflection across the y - axis.

• ( 3, 2)

• ( 3, -2)

• (-3, -2)

• (-3 , 2)

An example of a transformation that flips each point of a shape over the same line.

• Translation

• Rotation

• Reflection

• Transformation

Given P(2, -4) I(1, -8) G(-3,5) when reflected across the x-axis, What are the new coordinates?

• P(-2,4) I(-1 , 8) G(3, -5)

• P(2 , 4) I( 1, 8) G(-3 , -5)

• P(-2, -4) I(-1, -8) G(-3, -5)

• P(2,4) I(-1,8) (-3, 5)

Given P(2,-4) I(1,-8) G(-3,5): Reflect across the y-axis...What are your coordinates?

• P(2,4) I(-1,8) G(3, -5)

• P(-2, -4) I(1,8) G(-3,-5)

• P(2,4) I(1,8) G(-3, -5)

• P(-2,-4) I(-1,-8) G(3,5)

A point is translated 3 units left and 4 units up. What is the correct translation rule?

• T(x,y)→(x+3,y+4)
• T(x,y)→(x-3,y-4)
• T(x,y)→(x+3,y-4)
• T(x,y)→(x-3,y+4)

The point (-10, 6) is translated using the following rule:

(x - 6, y + 5). What is the new point?

• (-5,0)

• (-16,1)

• (-15,0)

• (-16,11)