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Translations

100

What word do we use to describe what a translation is?

Slide

200

Write the algebraic rule for a translation that slides 3 units right and 2 units up.

(x,y) --->  (x+3, y+2)

300

Write the algebraic rule for left 6, up 7.

(x,y) --> (x-6, y+7)

400

A(2,1), B(4,3), C(0,0). Find the coordinates for A', B', and C' according to this rule: (x,y) --> (x-2,y+6)

A'(0,7), B'(2,9), C'(-2,6)

500

Describe in words: (x-12,y-12)

Left 12, down 12.

Reflections

100

Point A is located at (2,-1). What is the coordinate point for A' after a reflection over the x-axis?

(2,1)

200

Write the algebraic rule for a reflection across the y-axis.

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

300

The algebraic rule (x,y)--->(x,-y) represents a reflection over which axis?

x-axis

400

List the coordinates of triangle A'B'C' after a reflection over the y-axis. A(1,0), B(2,3), C(6,1).

A'(-1,0), B'(-2,3), C'(-6,1)

500

Square ABCD lies in Quadrant IV. If you reflect the square over the y-axis first, then the x-axis, what quadrant will square A'B'C'D' be in?

Quadrant II

Rotations

100

Triangle ABC is located in Quadrant I. What quadrant will triangle A'B'C' be in after a 90 degrees clockwise rotation?

Quadrant IV

200

Rotating 90 degrees clockwise is the same as rotating __________ degrees counterclockwise.

270 degrees

300

When rotating, we consider each quadrant a figure rotates as another ______ degrees of rotation.

90

400

Write the algebraic rule for a 360 degree rotation.

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

500

Write the algebraic rule for a 270 degree clockwise rotation.

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