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love history [14]
3 years ago
14

Translate the triangle. Then enter the new coordinates. A(-3, 4) A'([?], [?]) B'([ ], [ ] C([],[]) B(0, 1) C(-4,1)

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0

Answer:

The new coordinates are A'(x,y) = (3, 0), B'(x,y) = (6, -3) and C'(x,y) = (2, -3).

Step-by-step explanation:

Vectorially speaking, the translation of a point can be defined by the following expression:

V'(x,y) = V(x,y) + T(x,y) (1)

Where:

V(x,y) - Original point.

V'(x,y) - Translated point.

T(x,y) - Translation vector.

If we know that A(x,y) = (-3,4), B(x,y) = (0,1), C(x,y) = (-4,1) and T(x,y) = (6, -4), then the resulting points are:

A'(x,y) = (-3, 4) + (6, -4)

A'(x,y) = (3, 0)

B'(x,y) = (0,1) + (6, -4)

B'(x,y) = (6, -3)

C'(x,y) = (-4, 1) + (6, -4)

C'(x,y) = (2, -3)

The new coordinates are A'(x,y) = (3, 0), B'(x,y) = (6, -3) and C'(x,y) = (2, -3).

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