163k views
2 votes
efgh is rotated 90 degrers clockwise about the origin and then translate it 3 units down if the coordinates of a resultant point is 1,-4 what were the coordinates original point?A. 2,5B.4,5C.3,1D.1,1

User Ndugger
by
8.0k points

1 Answer

7 votes

90-degree clockwise rotation transforms the coordinates the following way:


(x,y)\rightarrow(y,-x)

Now, after performing 90-degree clockwise rotation, we also move our point 3 units down, meaning, the final coordinates of the point are


(y,-x-3)

Now we are told that the coordinates of the resultant point are


(1,-4)

meaning


\begin{gathered} y=1 \\ -x-3=-4 \\ \end{gathered}

Solving for x gives


\begin{gathered} y=1 \\ x=1 \end{gathered}

Hence, the coordinates of the original point are


(1,1)

which is choice D.

User Guna
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.