Figure abcd is transformed to figure a′b′c′d′:

a coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. figure abcd has a at ordered pair 1, 1, b at 3, 3, c at 4, 2, d at 4, 1. figure a prime b prime c prime d prime has a prime at ordered pair 1, negative 3, b prime at 3, negative 1, c prime at 4, negative 2, d at 4, negative 3.

which angle in figure a′b′c′d′ is equal to angle cda.?

angle d prime a prime b prime.
angle a prime b prime c prime.
angle b prime c prime d prime.
angle c prime d prime a prime.

The correct option is 4.

Step-by-step explanation:

It is given that figure ABCD is transformed to figure A′B′C′D′.

The vertices of ABCD are A(1,1), B(3,3), C(4,2) and D(4,1).

The vertices of A'B'C'D' are A'(1,-3), B'(3,-1), C'(4,-2) and D'(4,-3).

It is clear that the figure translate 4 units down and the rule of translation is

Translation is a rigid transformation, it means image and preimge are congruent.

Since ABCD is translate 4 units down to make A′B′C′D′, therefore

Congruent part of congruent figures are congruent.

Therefore the correct option is 4.