Transformations

Arrow Notation

100

The arrow notation for translated 3 units right and 7 units down

What is (x , y) -->  (x + 3 , y - 7) ?

200

The arrow notation for reflection across y-axis

What is (x , y)  -->  (-x , y) ?

300

The arrow notation for reflection across the line y = -x

What is (x , y) --> (-y , -x) ?

400

The arrow notation for r_{90 cw}

What is (x , y) --> (y , -x)?

500

The composite arrow notation for 4 units up and 4 units to the right, followed by 3 units to the left and 7 units up

What is (x , y) --> (x + 1, y + 11) ?

Translation

100

The vector notation that represents 5 units down and 5 units right

What is T <5 , -5> ?

200

What is the image of M (11 , -4) using the translation (x, y) --> (x - 17 , y + 2)?

What is (-6 , -2) ?

300

D is at the point (-2, 2). What is its image after a translation of 5 units down and 2 units right?

What is (0 , -3) ?

400

Point P’ (-3 , 2) is the image of point P (3 , 8) under a translation. What is the image of (0 , -6) under the same translation?

What is (-6, -12) ?

500

T is at the point (1 , 4). What is T' after the translations: (x,y) --> (x - 4, y + 1) and T_<-1,0>

What is (-4 , 5) ?

Reflection

100

A triangle has vertices at: A(-3,-1)  B(-6,-5)  C(-1,-4). Which transformations would produce an image with vertices: A'(3, -1)  B(6,-5)  C(1,-4)

What is R_y-axis ?

200

Point T is at (-6 , 4). What are the coordinates of point T′ after R_y-axis ° R_x-axis

What is (6 , -4) ?

300

Triangle ABC has vertices A(-2,1)  B(-4,-1)  C(0,-1) is reflected over the line y = x. What is the coordinate of C' ?

What is (-1 , 0) ?

400

A is at point (2, 2). What is A' reflected over the line y = -x?

What is (-2, -2) ?

500

H is at the point (2 , -1). What is H' after R_y=x and R_x-axis

What is H' (-1 , -2) ?

Rotation

100

90 degrees clockwise is the same as ______ degrees counterclockwise

What is 270 ?

200

B is at point (4, 4). What is B' after the transformation r₁₈₀ ?

What is (-4 , -4) ?

300

F is at the point (-1 , -3). What is F' after rotated 90 degrees clockwise?

What is (-3, 1) ?

400

The point Y with coordinates (–8, 6) is rotated about the origin counterclockwise to Y’(8, –6). How many degrees was the point rotated?

What is 180 ?

500

A is at the point (3, 2). What is A' after r₁₈₀ and r_{270 cw} ?

What is A' (2 , -3) ?

Composite Transformations

100

Q is at the point (1, 4). Find coordinate of Q' after given transformations: T_<-1,2> and R_x-axis

What is Q' (0 , -6) ?

200

Q is at the point (1, 4). Find coordinate of Q' after given transformations: R_y-axis and r₁₈₀

What is Q' (1, -4) ?

300

S is at (2, -7). What quadrant is S' in after the transformations: R_x-axis and T_{<4 , -1>} ?

What is Quadrant l ?

400

C is at point (2, 0). What is its image after T_<1,-2> and R_{y = x} ?

What is C' (-2 , 3) ?

500

J is at point (-5 , 2). What is J' after r₁₈₀ and T_<-2,2> ?

What is J' (3 , 0) ?