Quiz about S1 12.4 Transformation of Points (2)

Question 1

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.

Accepted Answer

8 sq. units

Answer

10 sq. units

Answer

12 sq. units

Answer

16 sq. units

Question 2

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?

Accepted Answer

Quadrant II

Answer

Quadrant I

Answer

Quadrant III

Answer

Quadrant IV

Question 3

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.

Accepted Answer

(-y, -x)

Answer

(y, x)

Answer

(y, -x)

Answer

(-y, x)

Question 4

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

Accepted Answer

Rotate clockwise about the origin through 90 degree

Answer

Rotate anticlockwise about the origin through 90 degree

Answer

Rotate about the origin through 180 degree

Answer

None of the above

Question 5

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

Accepted Answer

(8, 2)

Answer

(-2, 8)

Answer

(2, -8)

Answer

(8, -2)

Question 6

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

Accepted Answer

(6, -5)

Answer

(-5, 6)

Answer

(-6, 5)

Answer

(-6, -5)

Question 7

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

Accepted Answer

(4, -7)

Answer

(-4, -7)

Answer

(-4, 7)

Answer

(7, 4)

Question 8

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

Accepted Answer

(-3, 2)

Answer

(-3, -2)

Answer

(3, 2)

Answer

(2, -3)

Question 9

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

Accepted Answer

(-6, 2)

Answer

(-1, 2)

Answer

(2, 6)

Answer

(6, -2)

Question 10

A(1, 5) is rotated anticlockwise about the origin through 90 degree to A'. Find the coordinates of A'.

Accepted Answer

(-5, 1)

Answer

(5, -1)

Answer

(1, -5)

Answer

(-1, 5)

Question 11

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'.

Accepted Answer

A'(2, 2), B'(4, -1), C'(1, -3)

Answer

A'(-2, 2), B'(-4, -1), C'(-1, -3)

Answer

A'(0, 2), B'(3, -1), C'(1, -3)

Answer

A'(2, -3), B'(4, -1), C'(1, 1)

Question 12

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 '.

Accepted Answer

6 units

Answer

2 units

Answer

3 units

Answer

8 units

Question 13

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

Accepted Answer

a horizontal line passing through (0, 1).

Answer

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

Answer

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

Answer

the x-axis.

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