Question

in the following diagram, angle ABC has been transformed into angle A''B'' C'' by the use of a sequence of transformations. Give one such sequence of transformations that would map angle ABC to angle A''B'' C''

Answer 1

In the following diagram, angle ABC has been transformed into angle A''B'' C'' by the use of a sequence of transformations.

Give one such sequence of transformations that would map angle ABC to angle A''B'' C''​

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Sequence of transformations

First

For example

Reflection y = -3

A (2,1) ; A' (2, -7)

B (4,-3) ; B'(4,-3)

C (9,-3) ; C' (9,-3)

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Final points

A'' (-5,-8)

B'' (-3,-4)

C'' (2,-4)

From

A' (2, -7)

B'(4,-3)

C' (9,-3)

To the final points with the translation (x-7, y-1)

A' (2, -7); A'' (2-7, -7-1)= (-5,-8)

B'(4,-3); B'' (4-7, -3-1) = (-3, -4)

C' (9,-3); C'' (9-7, -3-1) = (2, -4)

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Answer

Reflection y = -3 and Translation (x-7, y-1)

ºT(x-7, y-1) ºR y=-3

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