S1 12.4 Transformation of Points (2)

P(3, -1) is reflected with respect to the y-axis to Q, then Q is rotated about the origin through 180 degree to R, and finally R is translated leftwards by 2 units to S. Find the area of quadrilateral PQSR.

• 8 sq. units

• 10 sq. units

• 12 sq. units

• 16 sq. units

Point A is reflected with respect to the x-axis, and then rotated anticlockwise about the origin through 90 to A'(-1, -3). Find the coordinates of A.

• (-3, -1)

• (-3, 1)

• (-1, 3)

• (1, 3)

Let a and b be positive numbers. The point (a, -b) is rotated anticlockwise about the origin through 90 degree, and then reflected with respect to the y-axis. Which quadrant does its final image lie in?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

The point (x, y) is rotated clockwise about the origin through 270 dgree, and then reflected with respect to the x-axis. Find the coordinates of its final image.

• (y, x)

• (y, -x)

• (-y, x)

• (-y, -x)

P(-4, -2) undergoes a rotation to P'(-2, 4). Which of the following is the way of rotation?

• Rotate anticlockwise about the origin through 90 degree

• Rotate clockwise about the origin through 90 degree

• Rotate about the origin through 180 degree

• None of the above

Point F is rotated about the origin through 180 degree to F'(-8, -2). Find the coordinates of F.

• (-2, 8)

• (2, -8)

• (8, 2)

• (8, -2)

Point E is rotated clockwise about the origin through 270 degree to E'(5, 6). Find the coordinates of E.

• (-5, 6)

• (-6, 5)

• (-6, -5)

• (6, -5)

Point D is rotated clockwise about the origin through 90 degree to D'(-7, -4). Find the coordinates of D.

• (-4, -7)

• (-4, 7)

• (7, 4)

• (4, -7)

C(3, -2) is rotated about the origin through 180 degree to C'. Find the coordinates of C'.

• (-3, 2)

• (-3, -2)

• (3, 2)

• (2, -3)

B(-2, -6) is rotated anticlockwise about the origin through 270 degree to B'. Find the coordinates of B'.

• (-6, 2)

• (-1, 2)

• (2, 6)

• (6, -2)