The point `p(3,4)` undergoes a reflection in the X-axis followed by a reflection in the y-axis. Show that their combined effect is the same as the single reflection of p(3,4) in the orign.

Let m ,n are integers with 0

Name two invariant points under reflection in the x-axis.

Find the reflection of the point P(-1,3) in the line x = 2

Let m ,n are integers with 0ltnltm . A is the point (m ,n) on the Cartesian plane. B is the reflection of A in the line y=x . C is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection of D in the y-axis. The area of the pentagon A B C D E is a. 2m(m+n) b. m(m+3n) c. m(2m+3n) d. 2m(m+3n)

Consider a point A(m,n) , where m and n are positve intergers. B is the reflection of A in the line y=x , C is the reflaction of B in the y axis, D is the reflection of C in the x axis and E is the reflection of D is the y axis. The area of the pentagon ABCDE is a. 2m (m+n) b. m (m+3n) c. m(2m+3n) d. 2m(m+3n)

Write the coordinates the reflections of point (3,\ 5) in X and Y -axes.

Let P be the point (3, 2). Let Q be the reflection of P about the x-axis. Let R be the reflection of Q about the line y=-x and let S be the reflection of R through the origin, PQRS is a convex quadrilateral . Find the area of PQRS.

A point (1, 1) undergoes reflection in the x-axis and then the coordinates axes are rotated through an angle of pi/4 in anticlockwise direction. The final position of the point in the new coordinate system is

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.

P'' is the image of P(3, -5) when reflected in the y-axis. Write down the co-ordinates of P'' .