What set of transformations are applied to parallelogram abcd to create a'b'c'd'?

parallelogram formed by ordered pairs a at negative 4, 1, b at negative 3, 2, c at negative 1, 2, d at negative 2, 1. second parallelogram transformed formed by ordered pairs a prime at negative 4, negative 1, b prime at negative 3, negative 2, c prime at negative 1, negative 2, d prime at negative 2, negative 1.

reflected over the x-axis and rotated 180°

reflected over the y-axis and rotated 180°

reflected over the x-axis and rotated 90° counterclockwise

reflected over the y-axis and rotated 9

Solution:

The information about the two parallelograms, one called Pre image (A B CD) and other called image (A'B'C'D').

Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.

→As, the distance between X axis , that is distance of Preimage from X axis is same as distance of image from X axis.So,it is case of reflection over X axis.

→The two parallelogram ABCD and A'B'C'D' are congruent.So,Dilation hasn't taken place.Nor translation.

Option (B) →Reflected over the y-axis and rotated by 180° might be true.