If a series of rigid transformations maps 2F onto C where ZF is cong E
С
AABG - ADEF because of the definition of similarity in terms of similarity transformations
O AABC - ADEF because of the AA similarity postulate
о
AC - DF because corresponding parts of similar triangles are proportional
OBC - DE because of the definition of similarity in terms of similarity transformations

where's the diagrams?

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)