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 characteristics if you drew the line segment connecting Y with the reflecting line and then Y’ with the reflecting line? How do you know? (10 points)

Reflection Rule over line y = x: (x,y) >>>> (y,x)

Then if you determine the points coordinates of X, Y and Z, they will be

(1,0), (1,-1), and (0,-1) respectively, and by reflection across y=x we will find the new coordinates would be for X'm Y' and Z' as follows: (0,1), (-1,1) and (-1,0).

For the line segments that match the original and the reflected triangles to the reflection line y=x (the mirror), there are found to be equal in lengths and normal to the reflection line.

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