#2...Apply the transformation M to the polygon with the given vertices. Identify and describe the transformation. Then give the ordered pairs for the image

Step-by-step explanation:

Rule for the transformation M applied to the polygon with the given vertices has been given as,

(x, y) → (-y, x)

This transformation explains the rotation of a point by 90° counterclockwise about the origin.

By applying this rule, new vertices will be,

A(0, 3) → A'(-3, 0)

B(1, 2) → B'(-2, 1)

C(4, 5) → C'(-5, 4)

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.