Sample QuestionsReflection questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Write down the coordinates of the image of the point $(3,-2)$ when :
(a) reflected in $x$-axis.$\quad$(b) reflected in $y$-axis.$\quad$(c) reflected in the origin.
View full solution →A triangle with vertices $A (1,2), B (4,4)$ and $C (3,7)$ is first reflected in the line $y=0$ onto $\Delta A ^{\prime} B ^{\prime} C ^{\prime}$ and then $\Delta A ^{\prime} B ^{\prime} C ^{\prime}$ is reflected in the origin onto $\Delta A ^{\prime \prime} B ^{\prime \prime} C ^{\prime \prime}$. Write down the co-ordinates of (a) $A ^{\prime}, B ^{\prime}$ and $C ^{\prime}$ (b) $A ^{\prime \prime}, B ^{\prime \prime}$ and $C ^{\prime \prime}$.
View full solution →(a) Point $P (a, b)$ is reflected in $x$-axis to $P ^{\prime}(4,-3)$. Write down the values of $a$ and $b$.
(b) $P ^{\prime \prime}$ is the image of P when reflected in $y$-axis. Write down the co-ordinates of $P ^{\prime \prime}$.
(c) Name a single transformation that maps $P ^{\prime}$ to $P ^{\prime \prime}$.
View full solution →The point $A (-6,4)$ on reflection in $y$-axis is mapped as $A ^{\prime}$. Point $A ^{\prime}$ on reflection in the origin is mapped as $A ^{\prime \prime}$.
(a) Find the co-ordinates of $A ^{\prime}$.
(b) Find the co-ordinates of $A ^{\prime \prime}$.
(c) Write down a single transformation that maps $A$ to $A ^{\prime \prime}$.
View full solution →The point $P (a, b)$ is first reflected in the origin and then reflected in the $y$-axis to $P ^{\prime}$. If $P ^{\prime}$ has co-ordinates $(3,-4)$, evaluate $a, b$.
View full solution →Use a graph paper for this question taking $1 cm=1$ unit along both the $x$ and $y$-axis :
(a) Plot the points $A (0,5), B (2,5), C (5,2), D (5,-2), E (2,-5)$ and $F (0,-5)$.
(b) Reflect the points $B , C , D$, and $E$ on the $y$-axis and name them respectively as $B ^{\prime}, C ^{\prime}, D ^{\prime}$ and $E ^{\prime}$.
(c) Write the coordinates of $B ^{\prime}, C ^{\prime}, D ^{\prime}$ and $E ^{\prime}$.
(d) Name the figure formed by $BCDEE ^{\prime} D ^{\prime} C ^{\prime} B ^{\prime}$.
View full solution →Use graph paper to answer the following question. (Take $2 cm=1$ unit on both axis)
(a) Plot the points $A (-4,2)$ and $B (2,4)$.
(b) $A ^{\prime}$ is the image of A when reflected in the $y$-axis. Plot it on the graph paper and write the coordinates of $A ^{\prime}$.
(c) $B ^{\prime}$ is the image of B when reflected in the line $AA ^{\prime}$. Write the coordinates of $B ^{\prime}$.
(d) Write the geometric name of the figure $ABA ^{\prime} B$.
View full solution →Using a graph paper, plot the points $A (6,4)$ and $B (0,4)$.
(a) Reflect A and B in the origin to get the image $A ^{\prime}$ and $B ^{\prime}$.
(b) Write the co-ordinates of $A ^{\prime}$ and $B ^{\prime}$.
(c) State the geometrical name for the figure $ABA ^{\prime} B ^{\prime}$.
(d) Find its perimeter.
View full solution →Use graph paper and take $1 cm=1$ unit along both $x$-axis and $y$-axis:
(a) Plot the point $A (-4,4)$ and $B (2,2)$.
(b) Reflect A and B in the origin to get the image $A ^{\prime}$ and $B ^{\prime}$ respectively.
(c) Write down the co-ordinates of $A ^{\prime}$ and $B ^{\prime}$.
(d) Give the geometrical name for the figure $ABA ^{\prime} B ^{\prime}$.
View full solution →Use a graph paper to answer the following questions. (Take $1 cm=1$ unit on both axes)
(a) Plot $A (4,4), B (4,-6)$ and $C (8,0)$, the vertices of a triangle ABC .
(b) Reflect ABC on the y -axis and name it as $A ^{\prime} B ^{\prime} C ^{\prime}$.
(c) Write the coordinates of the image $A ^{\prime}, B ^{\prime}$ and $C ^{\prime}$.
(d) Give a geometrical name for the figure $AA ^{\prime} C ^{\prime} B ^{\prime} BC$.
View full solution →Use graph paper for this question: Points A and B have coordinates $(2,5)$ and $(0,3)$ respectively. Find
(a) the image $A ^{\prime}$ of $A$ under reflection in $x$-axis.
(b) the image $B ^{\prime}$ of $B$ under reflection in the line $AA ^{\prime}$.
View full solution →Use graph paper for this question :
Find the coordinates of the image of $(3,1)$ under reflection in $x$-axis followed by reflection in the line $x=1$.
View full solution →Use graph paper for this question:
(a) The point $P (2,3)$ is reflected in the line $x=4$ to the point $P ^{\prime}$. Write the coordinates of $P ^{\prime}$.
(b) Find the image of the point $Q (1,-2)$ in the line $x=-1$.
View full solution →Plot the points $A (-2,0), B (4,0), C (1,4)$ and $D (-2,4)$ on a graph paper. Point D is reflected about the line $x=1$ to get the image E. Write the coordinates of E. Name the figure ABED.
View full solution →The points $(3,0)$ and $(-1,0)$ are invariant points under reflection in the line $L _1$, while the points $(0,-3)$ and $(0,1)$ are invariant points under reflection in the line $L _2$.
(a) Name the lines $L _1$ and $L _2$
(b) Write down the images of the points $P (3,4)$ and $Q (-5,-2)$ on reflection in $L _1$. Name the images as $P ^{\prime}$ and $Q ^{\prime}$ respectively.
(c) Write down the images of $P$ and $Q$ on reflection in $L _2$. Name the images as $P ^{\prime \prime}$ and $Q ^{\prime \prime}$ respectively.
(d) State or describe a single transformation that maps $P ^{\prime}$ onto $P ^{\prime \prime}$.
View full solution →Point P is first reflected in $x$-axis to $P ^{\prime} . P ^{\prime}$ is then reflected in $y$-axis to $P ^{\prime \prime}(-2,5)$. The coordinates of P are :
- A
$(2,5)$
- B
$(-2,-5)$
- C
$(2,-5)$
- D
$(-5,2)$
View full solution →Point $(5,0)$ is invariant under reflection in :
View full solution →Point $(0,-2)$ is invariant under reflection in :
View full solution →The reflection of a point P in the $y$-axis is $P ^{\prime}(-4,-2)$. The coordinates of point P are :
- A
$(-4,2)$
- B
$(4,2)$
- C
$(4,-2)$
- D
$(-2,4)$
View full solution →The reflection of the point $(-4,0)$ in the origin is :
- A
$(4,0)$
- B
$(-4,0)$
- C
$(0,-4)$
- D
$(0,4)$
View full solution →Assertion (A) : The reflection of the point $(-4,5)$ in the origin is $(4,-5)$.
Reason (R) : Points of the type $(x, 0)$ are invariant under the reflection in $y$-axis.
View full solution →Assertion (A) : The point $(0,-2)$ is invariant under the reflection in the $y$-axis.
Reason (R) : The point $(a, b)$ is said to be invariant in a given line if its image in that line is still $(a, b)$.
View full solution →Assertion (A) : Reflection of the point $(-2,4)$ in the $x$-axis is $(2,-4)$.
Reason (R) : Reflection of the point $(a, b)$ in the $x$-axis is $(a,-b)$.
View full solution →