Transformation of Points

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 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)

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)

The coordinates of the vertices of triangle ABC are A(-2, 2), B(-4, -1) and C(-1, -3). triangle ABC is reflected with respect to the y-axis to obtain the image triangle A'B'C'. Find the coordinates of the vertices of triangle A'B'C'.

• A'(-2, 2), B'(-4, -1), C'(-1, -3)

• A'(0, 2), B'(3, -1), C'(1, -3)

• A'(2, -3), B'(4, -1), C'(1, 1)

• A'(2, 2), B'(4, -1), C'(1, -3)

L is a vertical line passing through (1, 0). M ' is the reflection image of M(-2, 4) with respect to L. Find the length of MM '.

• 2 units

• 3 units

• 6 units

• 8 units

P'(3, 4) is the reflection image of P(3, -2) with respect to

• a horizontal line passing through (0, 1).

• a horizontal line passing through (0, -3).

• a horizontal line passing through (0, -1).

• the x-axis.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

• Reflection over x-axis, then Rotation of 90 Degrees

• Rotation of -90 Degrees, then Reflection over y-axis

• Reflection over y-axis, then Rotation of -90 Degrees

• Rotation of 90 Degrees, then Reflection over x-axis

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis