Special Case When X = a = 0

Q. If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?

Q. The point A(2, -4) is reflected about the line x = 0 . Which of the following points could be its image?

1. 
2. 
3. 
4. 

Q.

The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6).

(a) Name the line of reflection.

(b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).

Q.

The image of the point (-7, -9) when refleceted in the Y axis is ___

1. (-9, -7)

2. (-7, 9)

3. (7, -9)

4. (7, 9)

Q.

Reflection of the point $(1,-2)$ in the x-axis is $(-1,2)$. State whether true or false.

1. False

2. True

Q.

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

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

Q.

Reflection of the point $(-1,15)$ in the y-axis is ____________

1. (1, 15)

2. (15, 1)

3. (-1, -15)

4. (1, -15)

Q.

Reflection of the point $(1,-2)$ in the x-axis is $(-1,2)$.

1. True

2. False

Q.

The image of a point P(x, y) when reflected in the Y axis is ___

1. (-x, y)

2. (x, -y)

3. (x, 0)

4. (-x, 0)

Q.

The reflection of the point (4, 5) in the line X+ 2 = 0 is

1. (-6, 5)

2. (-8, 5)

3. (-7, 5)

4. (-10, 5)

Q.

A point P (x, y) is reflected in the Y axis and its image is (6, 3), the value of x and y is ____

1. (6, 3)

2. (6, -3)

3. (-6, -3)

4. (-6, 3)

Q. Use graph paper for this question.
(Take $2cm=1$ unit along both $x$ and $y$ axis).
Plot the point $O(0,0),A(-4,4),B(-3,0)$ and $C(0,-3)$.
Reflect points $A$ and $B$ on the $y$-axis and name them $A^{\prime }$ and $B^{\prime }$ respectively. Write down their coordinates

Q. The symbol '$\ge$' used in relations is know .............symbol.

1. transitive
2. symmetric
3. asymmetric
4. reflective

Q. A circle with centre $(1,1)$ intersects X axis at $(1,0)$ and Y axis at $(0,1)$. Find the centre of the circle when reflected through Y axis.

1. $(-1,1)$
2. $(-1,-1)$
3. $(1,0)$
4. $(-1,0)$

Q. Use a graph paper for this question taking $1cm=1$ unit along both the $x$ and $y$ axis :
(i) Plot the points $A(0,5),B(2,5),C(5,2),D(5,-2),E(2,-5)$ and $F(0,-5)$
(ii) Reflect the points $B,C,D$ and $E$ on the $y$-axis and name them respectively as $B^{\prime },C^{\prime },D^{\prime }$ and $E^{\prime }$.
(iii) Write the coordinates of $B^{\prime },C^{\prime },D^{\prime }$ and $E^{\prime }$.
(iv) Name the figure formed by $BCDE{E}^{\prime }{D}^{\prime }{C}^{\prime }{B}^{\prime }$.
(v) Name a line of symmetry for the figure formed.

Q.

Reflection of the point (1, 2) in the y-axis is (-1, 2). State whether true or false.

1. False

2. True

Q. The L-shape ABCDF is the image of the L-shape ABCDEF after reflection in which of the following lines?

1. The line x = 2
2. The line y = x
3. The x axis
4. The line y = 2

Q. When $ABCD$ is reflected over the $y$-axis to $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ , what can be the coordinates of $D^{\prime }$ given that D lies in the $1^{st}$ quadrant?

1. $(-12,1)$
2. $(-12,-1)$
3. $(12,-1)$
4. $(1,12)$
5. $(1,-12)$

Q.

The coordinates of the vertices of a triangle are (4, 5) (2, 3) (7, 2). The corresponding images when reflected in the X axis are

1. (4, 5) (2, -3) (7, -2)

2. (4, -5) (2, -3) (7, -2)

3. (-4, 5) (2, -3) (7, -2)

4. (-4, 5) (-2, 3) (7, -2)