Question

The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1). Find the new coordinates of the vertices after the given translation.

Answer 1

A'(-2,0) , B'(0.5,6) and C'(3,0)

Explanation:

The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1).

The given translation of vertices,

(x, y) → (x + 3, y − 1)

This translation shows shift x-coordinate 3 unit right and y-coordinate 1 unit down.

• First translate vertices A(-5,1)

`A(-5,1)\rightarrow A'(-5+3,1-1)`

New vertices A'(-2,0)

• Now vertices B(-2.5,7)

`B(-2.5,7)\rightarrow B'(-2.5+3,7-1)`

New vertices B'(0.5,6)

• Now vertices C(0,1)

`C(0,1)\rightarrow C'(0+3,1-1)`

New vertices C'(3,0)

Hence, the new coordinate of the vertices are A'(-2,0) , B'(0.5,6) and C'(3,0)