Question

If triangle XYZ’s points are X (-2, 1), Y (-4,-3), and Z (0,-2) what are the new coordinates of X’, Y’, and Z’ if the triangle is transformed using the rule (x - 1, y + 3) to form triangle X’Y’Z’.

Answer 1

The coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).

Explanation:

The vertices of triangle XYZ are X(-2,1), Y(-4,-3) and Z(0,-2).

It is given that the triangle translated by rule

`(x,y)\rightarrow (x-1,y+3)`

The coordinates of image of XYZ are

`X(-2,1)\rightarrow X'(-2-1,1+3)`

`X(-2,1)\rightarrow X'(-3,4)`

`Y(-4,-3)\rightarrow Y'(-4-1,-3+3)`

`Y(-4,-3)\rightarrow Y'(-5,0)`

`Z(0,-2)\rightarrow Z'(0-1,-2+3)`

`Z(0,-2)\rightarrow Z'(-1,1)`

Therefore coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).