Reflection Examples

Perform the following operation and state the single transformation that take place  : 

M_y.M_o on A (-7, 3) 

A point R (3,-2) is reflected in the origin as R'. Point Q (-7, 1) is reflected in the x-axis as Q'. Write down the co-ordinates of R' and Q'. Calculate the distance R' Q'.

Perform the following operation and state the single transformation that take place  : 

M_x .M_y on P (2,-5) 

Perform the following operation and state the single transformation that take place  : 

 M_o.M_y on B (4, 6) 

The points P (1,-1 ), Q ( 4,-1) and R ( 4, 3) are reflected in y-axis. If the images are denoted byP' , Q' , and R' , then 

(i) Find the co-ordinates of P'Q'R' , Q' and R' 

(ii) What kind of figure is formed by RR' Q' Q? 

(iii) Find the perimeter of the figure P'Q'R' 

The triangle A(1, 2), B(4, 4) and C(3, 7) is first reflected in the line y = 0 onto triangle A’B’C’ and then triangle A’B’C’ is reflected in the origin onto triangle A” B” C”. Write down the co-ordinates of:
A',B',C'.

The triangle A(1, 2), B(4, 4) and C(3, 7) is first reflected in the line y = 0 onto triangle A’B’C’ and then triangle A’B’C’ is reflected in the origin onto triangle A” B” C”. Write down the co-ordinates of:
A'',B'',C''.

The point P (a, b) is first reflected in the origin and then reflected on the Y-axis to p’. If P’ has co-ordinates (3, – 4), evaluate a, b.