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Standard X

Mathematics

Reflection in the Origin

Using graph p...

Question

Using graph paper and taking $1 c m = 1$ unit along both $x$ -axis and $y$ -axis.
(i) Plot the points $A (- 4, 4)$ and $B (2, 2)$
(ii) Reflect $A$ and $B$ in the origin to get images $A^{'}$ and $B^{'}$ respectively.
(iii) Write down the co-ordinates of $A^{'}$ and $B^{'}$ .
(iv) Give the geometrical name for the figure $A B A^{'} B^{'}$
(v) Draw and name its lines of symmetry.

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Solution

(i) $A (- 4, 4), B (2, 2)$

(ii) Reflection of $A$ and $B$ in the origin is $A^{'} (4, - 4)$ and $(B^{'} (- 2, - 2)$

(iii) Coordinates are $A^{'} (4, - 4)$ and $(B^{'} (- 2, - 2)$

(iv) Geometrical name: Rhombus (All side is equal to $\sqrt{40}$ cm).

(v) Four lines of symmetry possible.

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(i) A(−4,4),B(2,2)(ii) Reflection of A and B in the origin is A′(4,−4) and (B′(−2,−2)(iii) Coordinates are A′(4,−4) and (B′(−2,−2)(iv) Geometrical name: Rhombus (All side is equal to √40 cm).(v) Four lines of symmetry possible.

(i) $A (- 4, 4), B (2, 2)$

(ii) Reflection of $A$ and $B$ in the origin is $A^{'} (4, - 4)$ and $(B^{'} (- 2, - 2)$

(iii) Coordinates are $A^{'} (4, - 4)$ and $(B^{'} (- 2, - 2)$

(iv) Geometrical name: Rhombus (All side is equal to $\sqrt{40}$ cm).

(v) Four lines of symmetry possible.