translation and rotation

Question

The vertices of ΔABC are A(-1,1), B(0,3), and C(3,4).

 

Translation : (x,y) → (x -3, y-3)

 

Reflection: in the line y = x

 

Is the composition a glide reflection?  yes or no

 

Is the image the same if the order of the transformations is switched? (reflection, then glide)     yes or no

 

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using the above verticies....

 

Rotation:  90 degrees counterclockwise about the orgin

 

Reflection:  in the y-axis

 

 

If the transformations were performed in reverse order (reflection, then rotation), would the final image be the same?   yes or no

 

Would the reflection of ΔABC in the line y = x produced the same final image?  yes or no

 

thank you.

Answer 1

Is the composition a glide reflection? yes

Is the image the same if the order of the transformations is switched? (reflection, then translate) yes

 

 

 

Rotation: 90 degrees counterclockwise about the origin

Reflection: in the y-axis


If the transformations were performed in reverse order (reflection, then rotation), would the final image be the same? No