Question

Describe the transformation of ΔABC.

A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin

Answer 1

According to my calculations it is C

Answer 2

Transformation of ΔABC rotation of 180° about the origin .

Explanation:

Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .

Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .

To find :

Describe the transformation of ΔABC.

Formula used : 180° rotation (clock wise and counter clock wise)

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

Solution :

A ( 3,5)-------> A' ( -3,-5).

B( 6,1)---------> B'(- 6,-1).

C( 0,1).---------> C'( 0,-1) .

Therefore, the transformation of ΔABC rotation of 180° about the origin .