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Triangle ABC is located at A (-4, 5), B (-4, -1), and C (-1, 1) and is translated 3 units to the left and 2 units down. The translation of the triangle is located at A' (-1, 7), B' (-1, 1), and C' (2, 3).

True

False

1 Answer

2 votes

In translation 'a' units to left means we have subtract 'a' units from the X-coordinates and 'a' units to right that means we have to add 'a' units to X-coordinate.

Translation 'b' units up, that means add 'b' unit to Y-coordinate and translation 'b' unit down that means subtract 'b' unit from Y-coordinate.

Given coordinates are : A (-4, 5), B (-4, -1), and C (-1, 1)

Translated 3 units to the left and 2 units down. So here a = -3 and b =-2

A (-4, 5) -----> A'(-4-3, 5-2 ) -----> A'(-7,3)

B (-4, -1) -----> B'(-4-3, -1-2 ) -----> B'(-7,-3)

C (-1, 1) -----> C'(-1-3, 5-2 ) -----> C'(-4,3)

New coordinates are A'(-7,3), B'(-7,-3) and C'(-4,3)

So the answer is False.

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