Question

@phi
Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below:
What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?
x = 1
y = x
x = 0
y = 0

Answer 1

is there a coordinate plane to look at?

Answer 2

what line is halfway between the two figures?

Answer 3

y

Answer 4

if you connect R to R' with a line, and find the halfway point.
and do that for S to S'. put a dot halfway between
both points will be "somewhere" what are their (x,y) values?

Answer 5

the y axis

Answer 6

do you know the equation of the y-axis?

Answer 7

no sorry

Answer 8

x=0

Answer 9

you can figure it out. (0,0) and (1,0) are two points on the y-axis
what is the slope?

Answer 10

0

Answer 11

slope is change in y divided by change in x
(0-0)/(1-0) = 0/1 = 0
y = mx + b
m is 0
y = 0*x + b
y = b
to find b
plug in (0,0)
there is no x, but it does not matter. y is 0
0= b
so
y= 0

Answer 12

if you are "on the y-axis" the y value is always 0, and x can be any number

Answer 13

thank you! :) I will tag you for the next question