Given the graph of square quad and its reflection. use the coordinates of the images' vertices, d and d' to algebraically find the line of reflection. in your final answer include all of your work.

x = 0

Step-by-step explanation:

D = (-8, -3), D' = (8, -3)

The line of reflection is the perpendicular bisector of the segment between these points. In order to find that, we need to know the slope and midpoint of the segment DD'.

Slope

The slope of the line DD' is ...

... m = (change in y)/(change in x) = (-3 -(-3))/(8 -(-8)) = 0/16 = 0

The line through point D with slope  0 is ...

... y = 0(x -(-8)) +(-3)

... y = -3

Midpoint

The midpoint of the segment DD' is the average of their coordinates:

... M = (D +D')/2 = ((-8, -3) +(8, -3))/2 = (-8+8, -3-3)/2 = (0, -3)

Perpendicular bisector

The line perpendicular to the horizontal line y=-3 through the point M = (0, -3) will be a vertical line of the form ...

... x = constant

The x-coordinate of the point (0, -3) tells us the constant, so the line of reflection is ...

... x = 0

then say something, tell them they won’t respect you if you don’t even have respect for your self sweetheart you need to lay it on them, all of it : )

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event