Question

#6 What would be the coordinates of AR'U'N' under the rule (x,y) → (x + 5, y - 3) given ARUN withpoints R(-4, 8); U(-6, 0); and N(-3,-6)A. Point R'(1, 11); Point U'(-1, 3); andPoint N' (2, -3)B. Point R'(1, 5); Point U'(-1, - 3); andPoint N'(2, -9)C. Point R'(1,5); Point U'(-1, -3); andPoint N'(2,3)D. Point R'(1,5); Point U'(1, - 3); andPoint N'(2, -3)

Answer 1

Given:

The coordinates of the each variable in the word △RUN are,

$\begin{gathered} R(-4,8) \\ U(-6,0) \\ N(-3,-6) \end{gathered}$

The transformation rule of each coordinate is,

$(x,y)=(x+5,y-3)$

The objective is to find the coordinates of △R'U'N' under the rule.

Explanation:

By applying the transformation for each coordinate,

$\begin{gathered} R^{\prime}=(-4+5,8-3)=(1,5) \\ U^{\prime}=(-6+5,0-3)=(-1,-3)_{} \\ N^{\prime}=(-3+5,-6-3)=(2,-9) \end{gathered}$

Thus, the new coordinates are R'(1,5), U'(-1,-3) and N'(2,-9).

Hence, option (B) is the correct answer.