Answer:
The coordinates of the vertices of the image are:
A"(0,-3) , B"(3,-2) and C"(1,-1)
Step-by-step explanation:
We know that if any point is rotated by 180° clockwise then the rule that holds this transformation is:
(x,y) → (-x,-y)
and also the rule that holds for the reflection of a point about the line y= -x is:
(x,y) → (-y,-x)
Hence, now when ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin the transformed vertices are given by:
A(-3,0) → A'(3,0)
B(-2,3) → B'(2,-3)
C(-1,1) → C'(1,-1)
Also now when it is reflected across the line y=-x the points of the resulting image is:
A'(3,0) → A"(0,-3)
B'(2,-3) → B"(3,-2)
C'(1,-1) → C"(1,-1)
Hence,
A(-3,0) → A"(0,-3)
B(-2,3) → B"(3,-2)
C(-1,1) → C''(1,-1)
