Question

(1) Perform the operations Mx. My and My. Mx
on the point (3,-4). State whether
Mx. My = My. My If 'yes'; then state whether it is
always true.​

Answer 1

Answer:(1) Perform the operations Mx. My and My. Mx

on the point (3,-4). State whether

Mx. My = My. My If 'yes'; then state whether it is

always true.​

Step-by-step explanation:Yes

Answer 2

Answer:

Yes, the equation stands true for any point on coordinate axes.

Step-by-step explanation:

Given point = ( 3 , - 4 )

Mx . My ( 3 , - 4 )

= Mx ( 3 , 4 )

= ( - 3 , 4 )

Again, performing the other operation,

My . Mx ( 3 , - 4 )

= My ( - 3 , - 4 )

= ( - 3 , 4 )

Hence, we see that,

Mx.My = My.Mx

Also, we can write these two reflections as one as follows,

Mx.My = My.Mx = Reflection through origin

Therefore, this equation stands true for any point.