Question

If point X (-4,5) was rotated 180 Degreescounterclockwise around the origin, what would thecoordinates of X' be?

Answer 1

Step 1:

In this question, we are given the following:

If point X (-4,5) was rotated 180 Degrees

counterclockwise around the origin, what would the coordinates of X' be?

Step 2:

The details of the solution are as follows:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

`\begin{gathered} So,\text{ we have that:} \\ X\text{ \lparen -4 , 5 \rparen} \\ Then,\text{ we have that:} \\ X^I\text{ \lparen-- 4, -5 \rparen= X}^{I\text{ }}(\text{ 4, -5 \rparen} \end{gathered}`

CONCLUSION:

The final answer is:

`X^I(\text{ 4, - 5 \rparen}`