Question

Triangle QRS is rotated 180° about the origin.

What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)

Answer 1

the answer is 2 -1

Explanation:

Answer 2

The coordinates of Point S' are:

(2,-1)

Explanation:

We know that the rule of rotating a image by 180 degree leads to the change in coordinates of the image as:

(x,y) → (-x,-y)

Now we are given an pre-image of a triangle whose S coordinate on transformation that is by rotating the triangle by 180 degree changes to S'

Now the coordinates of S in the pre-image is:

S(x,y)=(-2,1)

Since the point S is in the second quadrant so the x-value of the point is negative and the y-value is positive.

Now, the coordinates of S' by the rule of transformation is:

(-2,1) → (-(-2),-1)=(2,-1)

Hence, the coordinates of S' are:

(2,-1)