(i) The point P \[\left( \mathbf{2},\text{ }\mathbf{4} \right)\]on reflection in the line y = \[1\] is mapped onto P’ Find the co-ordinates of P’. (ii) Find the image of the point P \[\left( \text{ }-\mathbf{3},\text{ }-\mathbf{5} \right)\] in the line y = -2. - Noon Academy

(i) The point P

$\left( \mathbf{2},\text{ }\mathbf{4} \right)$

on reflection in the line y =

$1$

is mapped onto P’ Find the co-ordinates of P’. (ii) Find the image of the point P

$\left( \text{ }-\mathbf{3},\text{ }-\mathbf{5} \right)$

in the line y = -2.

Class 10 | Exercise 1 | ICSE | Maths | ML Aggarwal | Reflection

(i) The point P

$\left( \mathbf{2},\text{ }\mathbf{4} \right)$

on reflection in the line y =

$1$

is mapped onto P’ Find the co-ordinates of P’. (ii) Find the image of the point P

$\left( \text{ }-\mathbf{3},\text{ }-\mathbf{5} \right)$

in the line y = -2.

(i) The steps for finding the co-ordinates are:

(a) Draw axis XOX’ and YOY’ and take

$1$

cm =

$1$

unit.

(b) Plot point P

$\left( \mathbf{2},\text{ }\mathbf{4} \right)$

on it.

(c) Draw a line y =

$1$

, which is parallel to x-axis.

(d) From P, draw a perpendicular on y =

$1$

meeting it at Q.

(e) Produce PQ to P’ such that QP’ = PQ.

Therefore, P’ is the reflection of P whose co-ordinates are

$(2,-2)$

.

(ii) The steps for finding the co-ordinates are:

(a) Draw axis XOX’ and YOY’ and take

$1$

cm =

$1$

unit.

(b) Plot point P

$\left( \text{ }-\mathbf{3},\text{ }-\mathbf{5} \right)$

on it.

(c) Draw a line y =

$-2$

which is parallel to the x-axis.

(d) From P, draw a perpendicular on y =

$-2$

which meets it at Q.

(e) Produce PQ to P’ such that QP’ = PQ.

Therefore, P’ is the image of P, whose co-ordinates are

$(-3,1)$

.

i

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