Class 10 Reflection Mock Test (ICSE)

Topics in Reflection

• Reflection in the x-axis and y-axis
• Reflection in the origin
• Reflection in lines x = a and y = b
• Invariant points
• Figures formed by reflected points

Reflection practice questions with answers

1. Q1Multiple choice·1 mark
   Which of the following points remains invariant when reflected in the $y$-axis?

   1. (a)(0, -3)
   2. (b)(2, 2)
   3. (c)(4, 0)
   4. (d)(-5, 0)
   Show answer and step marks

   1. Correct option: (a) (0, -3)+1

   Answer: (a)
2. Q2Multiple choice·1 mark
   If the points $A(2, 3)$, $B(-2, 3)$, $C(-2, -3)$ and $D(2, -3)$ are plotted and joined sequentially, the geometric figure formed is a:

   1. (a)Square with each side measuring $4$ units
   2. (b)Rectangle with sides $3$ units and $2$ units
   3. (c)Square with each side measuring $6$ units
   4. (d)Rectangle with sides $6$ units and $4$ units
   Show answer and step marks

   1. Correct option: (d) Rectangle with sides $6$ units and $4$ units. $AB = 2 - (-2) = 4$ and $BC = 3 - (-3) = 6$; the sides are parallel to the axes, so every angle is a right angle, and adjacent sides are unequal, so it is not a square.+1

   Answer: (d)
3. Q3Multiple choice·1 mark
   The coordinates of the point $(3, 5)$ under reflection in the line $x = 1$ are:

   1. (a)(-1, 5)
   2. (b)(5, 5)
   3. (c)(-3, 5)
   4. (d)(1, 5)
   Show answer and step marks

   1. Correct option: (a) (-1, 5)+1

   Answer: (a)
4. Q4Multiple choice·1 mark
   The image of a point $P(4, -6)$ when reflected in the $x$-axis is reflected again in the $y$-axis. The coordinates of the final image are:

   1. (a)(6, -4)
   2. (b)(-4, 6)
   3. (c)(4, 6)
   4. (d)(-4, -6)
   Show answer and step marks

   1. Correct option: (b) (-4, 6)+1

   Answer: (b)

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