To transform rectangle ABCD to A″B″C″D″, the given set of transformations is a reflection over the y-axis and rotation of 180°.
What is transformation?
Given that
A(-4,2), B(-4,1), C(-1,1) and D(-1,2)
A"(-4,-2) B"(-4,-1), C"(-1,-1) and D"(-1,-2)
Reflection over the y-axis:
Negate the x-coordinates, flipping the shape horizontally
A(-4,2), B(-4,1), C(-1,1) and D(-1,2)
Multiple the x coordinates by -1
A'(4,2), B'(4,1), C'(1,1) and D'(1,2)
.180° Rotation:
Negate both x and y-coordinates, effectively rotating the shape half-way around the origin.
A'(4,2), B'(4,1), C'(1,1) and D'(1,2)
multiple both x and y coordinates with -1
A"(-4,-1), B"(-4,-1) , C"(-1,-1) and D"(-1,-2).
Therefore,the transformations are Reflection over the y-axis and rotation of 180°.