On a coordinate plane, 2 polygons are shown. polygon a b c d has points (negative 3, 3), (5, 3), (5, negative 1), and (1, negative 5). polygon a prime b prime c prime d prime has points (negative 5, negative 2), (negative 3, negative 2), (negative 3, negative 3), and (negative 4, negative 4).
which composition of similarity transformations maps polygon abcd to polygon a'b'c'd'?

a dilation with a scale factor of one-fourth and then a rotation
a dilation with a scale factor of one-fourth and then a translation
a dilation with a scale factor of 4 and then a rotation
a dilation with a scale factor of 4 and t

A dilation with a scale factor of One-fourth and then a translation

Step-by-step explanation:

Plot points A, B, C, D, A', B, C' and D' on the coordinate plane and draw quadrilaterals ABCD and A'B'C'D'.

These quadrilaterals are similar and quadrilateral a'B'C'D' has sides 4 times smaller than quadrilateral ABCD.

This means that the dilation with a scale factor of one-fourth was performed.

The figures were not rotated (they have the same positions), so the second transformation was translation.

Hence, correct option is B: a dilation with a scale factor of One-fourth and then a translation

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

the answer is b to that question