Question

The point P (a,b) is first reflected in the origin and then reflected in the y axis to P'. If P' has co-ordinates (4,6); evaluate a and b

Answer 1

the coordinate of p = 4,-6
it is because, we see that coordinate of p'=(4,6)
and we also know that
in 1st ordinate =+,+
2nd ordinate =-,+
3rd ordinate =-,-
4th ordinate =+,-
so cmordinate of p lie in 4th ordinate and coordinate of p' lie in 1st ordinate .
so coordinate of p =4,-6.

Answer 2

Answer:

a=4

b=-6;

Step-by-step explanation:

p(a,b) reflected through origin gives us coordinates as (-a,-b)

then (-a,-b) is reflected through y-axis which then gives us coordinates as

(a,-b)

the coordinates of p'=(4,6) , therefore coordinates of P = (4,-6)

therefore;

a=4

b=-6;