The coordinates of a triangle's vertices are A(2, 4), B(3, 1), and C(5, 5). The triangle undergoes a translation 4 units to the left and 5 units down. Which statement describes the effect(s) of the translation?

south west

Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)

Apply to every vertices coordinates(x - 4, y - 5)

New coordinates

A(-2, -1)
B(-1, -4)
C(1,0)

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Adetunmbiadekunle Adetunmbiadekunle · Answer 2 · 2021-10-22T15:11:27+02:00

If the coordinates of a triangle's vertices A(2, 4), B(3, 1), and C(5, 5) undergo a translation 4 units to the left and 5 units down, the coordinates of the vertices of the image will be A'(-2, -1), B'(-1, -4), and C'(1, 0)

For a point (x, y) is translated "a" units to the left, and "b" units down, the rule of translation is:

(x, y) >>>>> (x-a, y-b)

The coordinates of a triangle's vertices are A(2, 4), B(3, 1), and C(5, 5)

Since the vertices A(2, 4), B(3, 1), and C(5, 5) of the triangle ABC undergo a translation 4 units to the left and 5 units down, the coordinates of the new vertices will become:

A'(2-4, 4-5) = A'(-2, -1)

B'(3-4, 1-5) = B'(-1, -4)

C'(5-4, 5-5) = C'(1, 0)

Therefore, if the coordinates of a triangle's vertices A(2, 4), B(3, 1), and C(5, 5) undergo a translation 4 units to the left and 5 units down, the coordinates of the vertices of the image will be A'(-2, -1), B'(-1, -4), and C'(1, 0)

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