Image of a Point W.R.T the Line Y=A

Q.

The reflection of the point Q (8, 7) in the x-axis is ___ .

1. (-8, -7)

2. (-8, 7)

3. (8, -7)

4. (0, 7)

Q.

The point (4, 1) and (- 2, 4) are reflected in the y axis. Find the coordinates of their images.

1. $(-4,1),(-2,2)$

2. $(-4,1),(2,4)$

3. $(-4,-1),(2,-4)$

4. $(4,5),(-2,-2)$

Q. The point (4, 1) and (- 2, 4) are reflected in the line y = 3. Find the coordinates of their images.

1. $(4,5),(-2,-2)$
2. $(-4,-1),(2,-4)$
3. $(-4,1),(-2,2)$
4. $(4,5),(-2,1)$

Q.

The reflection point of A(2, 5) in the y axis is (k, m). The value of k + m is ___.

1. 4

2. -3

3. -4

4. 3

Q. A triangle $ABC$ where $A(-2,3),B(4,-4)C(6,-7)$ is reflected in the x- axis onto $△A^{\prime }{B}^{\prime }{C}^{\prime }$ and then is reflected in the origin onto $△A"B"C"$.Write down the co-ordinates of (i) $A^{\prime },B^{\prime },C^{\prime }$ and (ii) $A",B",C"$.

1. $A‘(-2,-3),B‘(-4,-4),C‘(6,7)$;
   $A^{\prime \prime }(2,3),B^{\prime \prime }(4,4),C^{\prime \prime }(6,7)$
2. $A‘(-2,-3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(2,3),B^{\prime \prime }(-4,-4),C^{\prime \prime }(-6,-7)$
3. $A‘(2,3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(-2,-3),B^{\prime \prime }(-4,-4),C^{\prime \prime }(-6,-7)$
   
   
4. $A‘(-2,-3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(-2,-3),B^{\prime \prime }(-4,4),C^{\prime \prime }(-6,7)$

Q. A triangle $ABC$ where $A(-2,3),B(4,-4)C(6,-7)$ is reflected in the x- axis onto $△A^{\prime }{B}^{\prime }{C}^{\prime }$ and then is reflected in the origin onto $△A"B"C"$. Write down the co-ordinates of (i) $A^{\prime },B^{\prime },C^{\prime }$ and (ii) $A",B",C"$.

1. $A‘(-2,-3),B‘(-4,-4),C‘(6,7)$;
   $A^{\prime \prime }(2,3),B^{\prime \prime }(4,4),C^{\prime \prime }(6,7)$
2. $A‘(2,3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(-2,-3),B^{\prime \prime }(-4,-4),C^{\prime \prime }(-6,-7)$
   
   
3. $A‘(-2,-3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(2,3),B^{\prime \prime }(-4,-4),C^{\prime \prime }(-6,-7)$
4. $A‘(-2,-3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(-2,-3),B^{\prime \prime }(-4,4),C^{\prime \prime }(-6,7)$

Q. The reflection point of A (2, 5) in the y-axis is (k, m). Find the value of (k + m).

Q. P(3, 3), Q(7, 6) and R(3, 6) are the coordinates of a triangle. A, B and C are the reflection points of P, Q and R respectively about Y = 0. The area of the triangle formed by the points B, C and D(3, -9) is ___ square units.

Q. The reflection point of A(2, 5) about X = 0 is (k, m). The value of k+m is ___.

1. 4
2. 3
3. -3
4. -4

Q. If the image of the point (2, 1) with respect to a line mirror is (5, 2), find the equation of the mirror.

Q. P(3, 3), Q(7, 6) and R(3, 6) are the coordinates of a triangle. A, B and C are the reflection points of P, Q and R respectively about Y = 0. The area of the triangle formed by the points B, C and D(3, -9) is ___.

Q. The point (4, 1) and (- 2, 4) are reflected in the line y = 3. Find the coordinates of their images.

1. $(-4,1),(-2,2)$
2. $(-4,-1),(2,-4)$
3. $(4,5),(-2,-2)$
4. $(4,5),(-2,2)$

Q. The reflection point of A(-6, 10) about Y = 2 is (c, d). The value of c+d is ___.

1. (-6, -6)
2. (6, 6)
3. (6, -10)
4. (-6, -10)