Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 2

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10th ICSE

IMPORTANT

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Point $(3, 0)$ and $(- 1, 0)$ are invariant points under reflection in the line $L_{1}$ ; points $(0, - 3)$ and $(0, 1)$ are invariant points on reflection in line $L_{2}$ .

State or describe a single transformation that maps $P'$ onto $P "$ .

Important Questions on Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 3

Point

P (a, b)

is reflected in the x- axis to

P' (5, - 2)

. Write down the values of

a

and

b

.

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 3

P "

is the image of

P

when reflected in the y-axis. Write down the co-ordinates of

P "

.

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 3

Name a single transformation that maps

P'

and

P "

.

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 4

The point $(- 2, 0)$ on reflection in a line is mapped to $(2, 0)$ and the point $(5, - 6)$ on reflection in the same line is mapped to $(- 5, - 6)$ .

State the name of the mirror line and write its equation.

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 4

The point $(- 2, 0)$ on reflection in a line is mapped to $(2, 0)$ and the point $(5, - 6)$ on reflection in the same line is mapped to $(- 5, - 6)$ .

State the co-ordinates of the image of $(- 8, - 5)$ in the mirror line .

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10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 5

The points

P (4, 1)

and

Q (- 2, 4)

are reflected in line

y = 3

. Fine the coordinates of

P'

, the image of

P

and

Q'

, the image of

Q

.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 6

A point

P (- 2, 3)

is reflected in line

x = 2

to point

P'

. Find the co-ordinates of

P'

.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 12 - Reflection (In x-axis, y-axis, x = a, y = a and the Origin; Invariant Points)>EXERCISE>Q 7

A point

P (a, b)

is reflected in the

x -

axis to

P' (2, - 3)

. Write down the values of

a

and

b

.

P "

is the image of

P

, reflected in the

y -

axis. Write down the co-ordinates of

P "

. Find the co-ordinates of

P'''

, when

P

is reflected in the line, parallel to

y -

axis, such that

x = 4

.