Answer:
The triangle is rotated 360° ⇒ answer D
Step-by-step explanation:
* Lets revise some transformation
- If point (x , y) rotated about the origin by angle 90° anti-clock wise
∴ Its image is (-y , x)
- If point (x , y) rotated about the origin by angle 90° clock wise
∴ Its image is (y , -x)
- If point (x , y) rotated about the origin by angle 180°
∴ Its image is (-x , -y)
* There is no difference between rotating 180° clockwise or
anti-clockwise around the origin
- If point (x , y) rotated about the origin by angle 360°
∴ Its image is (x , y) the point itself
* There is no difference between rotating 360° clockwise or
anti-clockwise around the origin
* Now lets solve the problem
∵ The vertices of the triangle ABC are:
A is (-6 , 3) , B is (-5 , 7) , C is (-4 , 3)
∵ The triangle map onto itself
∴ A = A'
∴ B = B'
∴ C = C'
∴ The triangle is rotated 360° about the origin
