IMAGE OF THE POINT AFTER ROTATION WORKSHEET

Problem 1 :

Find the image of the point (3, 1) under

a)  R₉₀                b)  R_-90            c)  R₁₈₀

Solution

Problem 2 :

Find the image of the point (-2, 3) under

a)  R₉₀                b)  R_-90            c)  R₁₈₀

Solution

Problem 3 :

Find the image of the point (4, -1) under

a)  R₉₀                b)  R_-90            c)  R₁₈₀

Solution

Problem 4 :

Find the image of the point (2, 3) under R₉₀ followed by M_x

Solution

Problem 5 :

Find the image of the point (-2, 5) under M_{y = -x} followed by 

R_-90

Solution

Problem 6 :

Find the image of the point (-3, -1) under M_{y = x} followed by 

R₁₈₀

Solution

Problem 7 :

Find the image of the point (4, -2) under M₉₀ followed by translation (-2, -3).

Solution

Answer Key

1)  a) 90 degree clockwise rotation.

(3, 1) --> (-1, 3)

b) 90 degree counter clockwise rotation.

(3, 1) --> (1, -3)

c) 180 degree rotation.

(3, 1) --> (-3, -1)

2) a) 90 degree clockwise rotation.

(-2, 3) --> (-3, -2)

b) 90 degree counter clockwise rotation.

(-2, 3) --> (3, 2)

c) 180 degree rotation.

(-2, 3) --> (2, -3)

3)  

a) 90 degree clockwise rotation.

(4, -1) --> (1, 4)

b) 90 degree counter clockwise rotation.

(4, -1) --> (-1, -4)

c) 180 degree rotation.

(4, -1) --> (-4, 1) 

4) (-3, 2) ==> (-3, -2)

5)  (-5, 2) ==> (2, 5)

6)  (-1, -3) ==> (1, 3)

7)  (0, 1)