Reflection on coordinate axis - class-X

Questions about geometric reflections on coordinate axes, including properties of mirror images, coordinate transformations, and symmetry in the XY plane

15 Questions Published

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Questions

Question 1 Multiple Choice (Single Answer)

If P is (-3, 4) and My Mx (P) shows the reflection of the point P in the x"axis and then the reflection of the image in the y"axis, then My Mx (P) is

(3, 4)
(- 3, - 4)
(`3, 4)
(3, - 4)

Question 2 Multiple Choice (Single Answer)

When an object is reflected in the mirror, the corresponding lengths and angles of the object and the image

remain same
increase in the image
decrease in the image
cannot be determined

Question 3 Multiple Choice (Single Answer)

If a boy, standing in front of a mirror has his right hand in the pocket, then in his mirror reflection, it will appear as

his left hand in the pocket
missing hand
his right hand in the pocket
can't say

Question 4 Multiple Choice (Single Answer)

A ray of light passing through the point $(1, 2)$ is reflected on the $x$-axis at a point $P$ and passes through the point $(5, 3)$. The abscissa of the point $P$ is

$3$
$\dfrac {13}{3}$
$\dfrac {13}{5}$
$\dfrac {13}{4}$

Question 5 Multiple Choice (Single Answer)

The coordinates of a point P are $(2, 5).$ Given that the image of P under a reflection in the 'x-axis is P, find the coordinates of P.

$(-2,-5)$
$(-2, 5)$
$(2,-5)$
$(-5, 2)$

Question 6 Multiple Choice (Single Answer)

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?

$\left( -12,1 \right) $
$\left( -12,-1 \right) $
$\left( 12,-1 \right) $
$\left( 1,12 \right) $
$\left( 1,-12 \right) $

Question 7 Multiple Choice (Single Answer)

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.

$(-1,1)$
$(-1,-1)$
$(1,0)$
$(-1,0)$

Question 8 Multiple Choice (Single Answer)

State whether true/false:

The size of the figure after reflection changes but the lines and angles remains the same.

True
False

Question 9 Multiple Choice (Single Answer)

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 X axis.

$(1,-1)$
$(1,1)$
$(-1,-1)$
None of the above

Question 10 Multiple Choice (Single Answer)

State whether true/false:

A shape is symmetrical if both sides of it are the same when a mirror line is drawn.

True
False

Question 11 Multiple Choice (Single Answer)

A circle with centre $(0,0)$ and of radius $2$ cm is plotted in the XY plane. Take the part of circle in first quadrant and find its reflection through X axis.

The reflected image will form in $3rd$ quadrant.
The reflected image will form in $1st$ quadrant.
The reflected image will form in $2nd$ quadrant.
The reflected image will form in $4rth$ quadrant.

Question 12 Multiple Choice (Single Answer)

A circle with centre $(0,0)$ and of radius $2$ cm is plotted in the XY plane. Take the part of circle in first quadrant and find its reflection through Y axis.

The reflected image would get formed in $1st$ quadrant.
The reflected image would get formed in $2nd$ quadrant.
The reflected image would get formed in $4rth$ quadrant.
None of these

Question 13 Multiple Choice (Single Answer)

Line symmetry and mirror reflection are naturally related to each other.

True
False

Question 14 Multiple Choice (Single Answer)

The distance of the object from the mirror line is ____ the distance of the image from the mirror line.

same as
greater than
less than
None of the above

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