Whats the answer for this question?

9514 1404 393

  A. <dilation by a factor of 1/7>

Step-by-step explanation:

Rotation, reflection, and translation are "rigid" motions that preserve congruence.

Dilation does not preserve congruence. Dilation multiplies the coordinates by a dilation factor, as in the transformation of choice A.

  (x, y) ⇒ (x/7, y/7) . . . does NOT preserve congruence

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)

if you was gonna solve for a, a is a   < -12