Dilations, Translations, Rotations and Reflections

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

• (x, y) --> (x + 2, y - 5)

• (x, y) --> (x + 2, y - 9)

• (x, y) --> (x - 2, y - 9)

• (x, y) --> (x - 2, y + 9)

How would you translate point P to P'?

• Translate 2 units to the right and  8 units down
• Translate 3 units down and 2 units to the right
• Translate 4 units down and 4 units to the left
• Translate 8 units to the right and 2 units down

Trapezoid ABCD is translated to trapezoid A'B'C'D'. What algebraic rule describes this transformation?

• (x, y) --> (x + 5, y + 8)

• (x, y) --> (x + 5, y - 8)

• (x, y) --> (x - 8, y + 5)

• (x, y) --> (x - 8, y - 5)

When you translate, you ______ a number to x and y.

• Add or subtract
• Multiply or divide
• Add or multiply
• Subtract or divide

Write the rule for this translation:

Slide 5 up and 7 right

• (x, y)---->(x + 5, y + 7)

• (x, y)-----> (x + 7, y + 5)

• (x, y)----> (x - 7, y - 5)

• (x, y)----> (7x, 5y)

A figure is translated 9 units left and 3 units down. What algebraic rule describes this transformation?

• (x, y) --> (x - 9, y + 3)

• (x, y) --> (x - 9, y - 3)

• (x, y) --> (x + 3, y - 9)

• (x, y) --> (9x, 3y)

What is the algebraic representation for the transformation shown?

• (x, y) ---> (x - 8, y + 3)

• (x, y) ---> (x - 4, y + 9)

• (x, y) ---> (x + 8, y - 3)

• (x, y) ---> (x + 4, y - 9)

When translating left or right on a coordinate plane, what coordinate is affected?

• x-coordinate

• y-coordinate

• both x- and y-coordinates

• neither the x- nor the y-coordinate

When translating up or down on a coordinate plane, what coordinate is affected?

• x-coordinate

• y-coordinate

• both the x- and y-coordinates

• neither the x- nor the y-coordinate

Reflecting over the x-axis changes the ______________.

• x-coordinate

• y-coordinate

• order of the coordinates

• none of the above