Graph a triangle (XYZ) and reflect it over the line y=x to create triangle X'Y'Z'. Describe the transformation using words. Draw a line segment from point X to the reflecting line, and then draw a line segment from point X' to the reflecting line. What do you notice about the two line segments you drew? Do you think you would see the same characteristic if you drew the line segment connecting Y with the reflecting line and then Y' with the reflecting line? How do you know?

- anonymous

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- anonymous

This might help explain things, but it will not give you an direct answer: http://www.mathsisfun.com/geometry/transformations.html Try the problem after reviewing this website.

- anonymous

@e.mccormick can you help

- anonymous

@jim_thompson5910

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## More answers

- jim_thompson5910

There seems to be missing info

- anonymous

that is the whole question

- jim_thompson5910

so they want you to make up coordinates for X,Y, and Z?

- anonymous

##### 1 Attachment

- anonymous

review your flvs lessons, maybe it will help

- anonymous

I have done that already

- jim_thompson5910

ok pick a random point that doesn't lie on the line y = x
what point did you pick?

- anonymous

3,2

- jim_thompson5910

what do you get if you reflected that over the line y = x ?

- anonymous

Try graphing it on graph paper

- anonymous

would it be 1,3

- jim_thompson5910

close

- jim_thompson5910

reflecting (x,y) over y = x gives you (y,x)

- anonymous

2,3

- jim_thompson5910

(3,2) --> (2,3), yep

- anonymous

can you help me form an explanation?

- jim_thompson5910

plot those two points and the line y = x

- jim_thompson5910

then connect those two points with a segment. What do you notice about the line y = x and the segment?

- anonymous

idk

- jim_thompson5910

did you plot those things on the coordinate grid?

- anonymous

yes

- jim_thompson5910

can you see how the segment is perpendicular to the line?

- jim_thompson5910

and how the line cuts the segment in half?

- anonymous

no

- anonymous

@jim_thompson5910

- jim_thompson5910

|dw:1437183096084:dw|

- jim_thompson5910

|dw:1437183138336:dw|

- jim_thompson5910

|dw:1437183151297:dw|

- jim_thompson5910

both points are the same distance away from the line

- anonymous

ok

- anonymous

I need to form a paragraph

- anonymous

@jim_thompson5910

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