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

Answer:

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

Step-by-step 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).