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)
B. (-1, -1)
C. (3, 3)
D. (1, 3)
E. (3, 1)
F. (-3, -1)

D.

Step-by-step explanation:

Given

Required

The translation vector

Represent the translation vector with

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

---- The translation

This gives:

Collect like terms

Rewrite as:

Hence, the translation vector is

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

step-by-step explanation:

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