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Standard X

Mathematics

Reflection

Attempt this ...

Question

Attempt this question on graph paper.

(a) Plot A (3, 2) and B (5, 4) on graph paper.

(b) Reflect A and B in the x-axis to A' and B' respectively. Plot these points also on the same graph paper.

(c) Write down :

(i) the geometrical name of the figure ABB' A';

(ii) the measure of angle ABB';

(iii) the image A" of A, when A is reflected in the origin.

(iv) the single transformation that maps A' to A".

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Solution

(c)

(i) From graph, it is clear that ABB’A’ is an isosceles trapezium.

(ii) The measure of angle ABB’ is 45°.

(iii) A” = (-3, -2)

(iv) Single transformation that maps A’ to A” is the reflection in y-axis.

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Similar questions

(i) Plot the points A (3, 5) and B (-2, -4). Use 1 cm = 1 unit on both the axes.

(ii) A' is the image of A when reflected in the x-axis. Write down the co-ordinates of A' and plot it on the graph paper.

(iii) B' is the image of B when reflected in the y-axis, followed by reflection in the origin. Write down the co-ordinates of B' and plot it on the graph paper.

(iv) Write down the geometrical name of the figure AA'BB'.

(v) Name two invariant points under reflection in the x-axis.

Q. Use graph paper to answer this question :
(i) Plot the points A(4,6) and B(1,2).
(ii) A' is the image of A when reflected in X-axis.
(iii) B' is the image of B when B is reflected in the line AA'.
(iv) Give the geometrical name for the figure AB A'B'.

(i) Point P (a, b) is reflected in the x-axis to P' (5, -2). Write down the values of a and b.

(ii) P" is the image of P when reflected in the y-axis. Write down the co-ordinates of P".

(iii) Name a single transformation that maps P' to P".

Q. Using graph paper, (take

2 c m = 1

unit on both axis), plot

A (- 4, 2)

and

B (2, 4)

A^{'}

is the image of

A

when reflected in the

y

-axis. Plot it on the graph paper and write the coordinates of

A^{'}

B^{'}

is the image of

B

when reflected about the line

A A^{'}

. Join

A - B - A^{'} - B^{'}

and name the quadrilateral.

Q. 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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(c) (i) From graph, it is clear that ABB’A’ is an isosceles trapezium. (ii) The measure of angle ABB’ is 45°. (iii) A” = (-3, -2) (iv) Single transformation that maps A’ to A” is the reflection in y-axis.

(c)

(i) From graph, it is clear that ABB’A’ is an isosceles trapezium.

(ii) The measure of angle ABB’ is 45°.

(iii) A” = (-3, -2)

(iv) Single transformation that maps A’ to A” is the reflection in y-axis.