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Standard X

Mathematics

Special Case When X = a = 0

Use graph pap...

Question

Use graph paper for this question.
(Take $2 c m = 1$ unit along both $x$ and $y$ axis).
Plot the point $O (0, 0), A (- 4, 4), B (- 3, 0)$ and $C (0, - 3)$ .
Reflect points $A$ and $B$ on the $y$ -axis and name them $A^{'}$ and $B^{'}$ respectively. Write down their coordinates

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(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. For each of the following write true or false
(i) The point (4, 0) lies in quadrant I.
(ii) The ordinate of a point P is −3 and its abscissa is −4. The point is P(−3, −4).
(iii) The points A(1, −1) and B(−1, 1) both lies in quadrant IV.
(iv) A point lies on y-axis at a distance of 3 units from x-axis. Its coordinates are (3, 0).
(v) The point C(0, −5) lies on y-axis.
(vi) The point O(0, 0) lies on x-axis as well as y-axis.

Q. Use graph paper for this question (Take

2

=

1

unit along both x and y axis). ABCD is a quadrilateral whose vertices are

A (2, 2), B (2, - 2), C (0, - 1)

and

D (0, 1)

. Write down the coordinates of A' and B'.

Q. Use a graph paper for this question taking

1 c m = 1

unit along both the

x

and

y

axis :
(i) Plot the points

A (0, 5), B (2, 5), C (5, 2), D (5, - 2), E (2, - 5)

and

F (0, - 5)

(ii) Reflect the points

B, C, D

and

E

on the

y

-axis and name them respectively as

B^{'}, C^{'}, D^{'}

and

E^{'}

.
(iii) Write the coordinates of

B^{'}, C^{'}, D^{'}

and

E^{'}

.
(iv) Name the figure formed by

B C D E E^{'} D^{'} C^{'} B^{'}

.
(v) Name a line of symmetry for the figure formed.

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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Use graph paper for this question.(Take 2 cm=1 unit along both x and y axis).Plot the point O(0,0),A(−4,4),B(−3,0) and C(0,−3).Reflect points A and B on the y-axis and name them A′ and B′ respectively. Write down their coordinates

Use graph paper for this question.
(Take $2 c m = 1$ unit along both $x$ and $y$ axis).
Plot the point $O (0, 0), A (- 4, 4), B (- 3, 0)$ and $C (0, - 3)$ .
Reflect points $A$ and $B$ on the $y$ -axis and name them $A^{'}$ and $B^{'}$ respectively. Write down their coordinates