The coordinates of a triangle are (-1, 1) (3,0) (1, -4) , and . The coordinates of the translated triangle are (0,4) (4, 3) and (2, -1) . Find the translation vector. A. (-1, -3…

Question

asked Jun 6, 2022 147k views

1 Answer

ColemanTO · Answer 1 · 2022-06-12T10:45:03+0000

Answer:

D.
(1,3)

Explanation:

Given

A = (-1,1)

B = (3,0)

C =(1,-4)

A' = (0,4)

$B'=(4,3)\\$

C = (2,-1)

Required

The translation vector

Represent the translation vector with
(x,y)

Taking points A and A' as points of reference, we have:

$A + (x,y) \to A'$ ---- The translation

This gives:

$(-1,1) + (x,y) \to (0,4)$

Collect like terms

$(x,y) \to (0,4) -(-1,1)$

Rewrite as:

$(x,y) \to (0 - -1,4-1)$

$(x,y) \to (1,3)$

Hence, the translation vector is
(1,3)