Question

Which represents the rotation of ABC toA’B’C

a:(x,y) —> (-x,-y)
b:(x,y) —> (x,-y)
c:(x,y) —> (y, -x)

Answer 1

a) A (-2,-2) →A¹ ( 2, 2)

B (-5,-2) →B¹ (5 , 2)

C (-3,-4) →C¹ ( 3 ,4))

b)

A (-2,-2) → A¹( -2, 2)

B (-5,-2) →B¹ (-5 , 2)

C (-3,-4) →C¹ ( -3 ,4))

c)

A (-2,-2) → A¹( -2, 2)

B (-5,-2) →B¹ (-2 , 5)

C (-3,-4) →C¹ ( -4 ,3))

Explanation:

a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed

to A (-2,-2) → A¹( 2, 2)

B (-5,-2) →B¹ (5 , 2)

C (-3,-4) →C¹ ( 3 ,4))

b)

Reflection about the x-axis

( x, y) → ( x, -y)

A (-2,-2) → A¹( -2, 2)

B (-5,-2) →B¹ (-5 , 2)

C (-3,-4) →C¹ ( -3 ,4))

c)

( x, y) → ( y, -x)

Given (x, y) is rotation 90° of clock wise about the origin then the transformed to

A (-2,-2) → A¹( -2, 2)

B (-5,-2) →B¹ (-2 , 5)

C (-3,-4) →C¹ ( -4 ,3))