Question

The triangle is rotated 180° about the origin. Give the coordinates of the points in the image:INB5472NO25c2-5AYBECOBlank 1:Blank 2Blank 3:BlankBlanks:Blank 6

Answer 1

Ok, so

We got the following figure here below:

We're going to rotate this triangle 180° about the origin.

For this, remember that the rule for a rotation by 180° about the origin is given by the formula:

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

We got these points:

$\begin{gathered} A(0,4) \\ B(2,3) \\ C(-1,-1) \end{gathered}$

If we rotate the figure 180° about the origin, we obtain the following coordinates:

$\begin{gathered} A^{\prime}(0,-4) \\ B^{\prime}(-2,-3) \\ C^{\prime}(1,1) \end{gathered}$

And the figure will look like this: