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Invariant Points

Points (-5,0)...

Question

Points (-5,0) and (4,0) are invariant points under reflection in the y-axis.

A

False

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B

True

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$(- 13, 0)$ is an invariant point under the reflection on the x-axis.

Q. Which of the following points will be invariant under reflection in the x axis?

$(- 13, 0)$ is an invariant point under the reflection in the x-axis. State whether true or false.

(- 5, 0)

(4, 0)

are invariant points under reflection in the line

L_{1}

(0, - 6)

(0, 5)

are invariant on reflection in the line

L_{2}

.
(a) Name or write equations for the lines

L_{1}

L_{2}

.
(b) Write down the images of

P (2, 6)

Q (- 8, - 3)

on reflection in

L_{1}

. Name the images as

P^{'}

Q^{'}

respectively.
(c) Write down the images of

P

Q

on reflection in

L_{2}

. Name the images as

P^{''}

Q^{''}

respectively.
(d) State or describe a single transformation that maps

Q^{'}

Q^{''}

.

Q. The points (1,0), (-4,0) and (5,0) lie on the ___ axis.

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