Reflect the given pre-image over = −1 followed by = −7. Find the new coordinates.


Answer:
A'(8, -10)
B'(6, -12)
C'(2, -4)
A"(8, -4)
B"(6, -2)
C"(2, -10)
Step-by-step explanation:
The location of the points are at:
A(8, 8) , B(10, 6) and C(2, 2).
Reflection over y = -1:
For point A the y distance between the point and y = -1 line is 9 (8 - (-1)). The reflection of point a over y = -1 would give a point 9 units below y = -1 which is at -10.
The new A coordinate is at A'(8, -10)
For point B the y distance between the point and y = -1 line is 7 (6 - (-1)). The reflection of point a over y = -1 would give a point 7 units below y = -1 which is at -8.
The new B coordinate is at B'(10, -8)
For point C the y distance between the point and y = -1 line is 3 (2 - (-1)). The reflection of point a over y = -1 would give a point 3 units below y = -1 which is at -4.
The new C coordinate is at C'(2, -4)
Reflection over y = -7:
For point A' the y distance between the point and y = -7 line is 3 (-7 - (-10)). The reflection of point a over y = -1 would give a point 3 units above y = -7 which is at -4.
The new A coordinate is at A"(8, -4)
For point B' the y distance between the point and y = -7 line is 1 (-7 - (-8)). The reflection of point a over y = -7 would give a point 1 units above y = -7 which is at -6.
The new B coordinate is at B"(10, -6)
For point C' the y distance between the point and y = -7 line is 3 (4 - (-7)). The reflection of point a over y = -7 would give a point 3 units below y = -7 which is at -10.
The new C coordinate is at C"(2, -10)