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Mathematics [4 marks sum]

Reflection · ICSE STD 10 (ICSE - English Medium). 6 questions.

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[4 marks sum]

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6 questions · timed · auto-graded

Question 14 Marks
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 $AA ^{\prime}$.
Answer
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Question 24 Marks
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 $x=1$.
Answer
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Question 34 Marks
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 $x=-1$.
Answer
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Question 44 Marks
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.
Answer
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Question 54 Marks
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 $P ^{\prime \prime}$.
Answer
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Question 64 Marks
Plot the point $A (2,-3), B (-1,2)$ and $C (0,-2)$ on the graph paper. Draw the triangle formed by reflecting these points in the $x$-axis. Are the two triangles congruent?
Answer
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[4 marks sum] - Mathematics STD 10 Questions - Vidyadip