Translate the triangle ABC 3 units left and 5 units up.

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25-08-2022
Mathematics

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Translate the triangle ABC 3 units left and 5 units up.

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MrRoyal MrRoyal · Answer 1 · 2022-08-27T11:46:42+02:00

The coordinates of the image of the triangle ABC, when translated 3 units left and 5 units up are A' = (-3, 9), B' = (-6, 3) and C = (0, 3)

How to translate the triangle ABC 3 units left and 5 units up?

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From the figure, the coordinates of the triangle are given as:

A = (0, 4)

B = (-3, -2)

C = (3, -2)

The translation is given as:

A translation by 3 units left and 5 units up

This is represented by

(x, y) = (x - 3, y + 5)

So, we have:

A' = (-3, 9)

B' = (-6, 3)

C = (0, 3)

Hence, the coordinates of the image of the triangle ABC, when translated 3 units left and 5 units up are A' = (-3, 9), B' = (-6, 3) and C = (0, 3)