Question

Find the transformation of a triangle with coordinates a(1,0) b(0,1) and c(1,1) by rotating 450 about the origin and then translating two units in x and y direction.

Answer 1

Answer:

The transformation of a triangle with coordinates a(1,0) b(0,1) and c(1,1) by rotating 450 about the origin and then translating two units in x and y direction.

Answer 2

Answer:

The final coordinates after tranformation by rotating 45` about origin and then translating two units in x and y direction are  $(2+\frac{1}{\sqrt{2} } ,2+\frac{1}{\sqrt{2} } )$, $(2-\frac{1}{\sqrt{2} } ,2+\frac{1}{\sqrt{2} } )$, $(2,4)$.

Step-by-step explanation:

Firstly transforming the coordinate by rotating 45' about origin, so the coordinate will change to,

   (1,0)                ---->                  $(\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} } )$

   (0,1)                ---->                  $(-\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} } )$

   (1,1)                 ---->                  $(0,2)$

Then translating the points, 2 units in x and y direction.

So the final coordinates will be

   (1,0)               ---->                   $(2+\frac{1}{\sqrt{2} } ,2+\frac{1}{\sqrt{2} } )$

   (0,1)               ---->                   $(2-\frac{1}{\sqrt{2} } ,2+\frac{1}{\sqrt{2} } )$

   (1,1)                ---->                    $(2,4)$