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f(x) Transforms to Its Inverse

Use graph pap...

Question

Use graph paper for this question (Take $2$ cm $=$ $1$ unit along both x and y axis). ABCD is a quadrilateral whose vertices are $A (2, 2), B (2, - 2), C (0, - 1)$ and $D (0, 1)$ . Name the property of A'B'CD.

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Solution

The quadrilaterals ABCD and A'B'CD are both trapeziums. A'B'CD is obtained by reflecting ABCD about CD.

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Q. Use graph paper for the 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)

D (0, 1)

. Reflect quadrilateral ABCD on the y-axis and name it as A'B'CD.

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)

D (0, 1)

. Name two points which are invariant under the above reflections.

Q. Use graph paper for this question.
(Take

2 c m = 1

unit along both

x

y

axis).
Plot the point

O (0, 0), A (- 4, 4), B (- 3, 0)

C (0, - 3)

.
State the line of symmetry of this figure

Use graph paper for this question. Take 1 cm = 1 unit on both axes.

i) Plot the points A (–2, 0), B (4, 0) and C (1, 4) on the graph.

ii) Plot D (–2, 4) and E (4, 4). Assign special name to quadrilateral ABED.

iii) Draw lines of symmetry of quadrilateral ABED, and DABC.

iv) Write the equation of lines of symmetry.

Q. Use graph paper for this question. Take

2 c m = 2

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Solve graphically the following equations:

3 x + 5 y = 12; 3 x - 5 y + 18 = 0

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f(x) Transforms to Its Inverse

Standard XII Mathematics

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