Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis? On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).

Step-by-step explanation:

Given

Reflection across y-axis

Required

Coordinates of C'

When a point is reflected across the y-axis, the rule is:

So, the reflection on C will be:

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)

answer: c. im 100 percent sure

step-by-step explanation: