Joel is constructing a line perpendicular to BW←→−. He has already constructed three arcs as shown. He moves his compass point to W to construct a fourth arc.

What must be true about the width of Joel’s compass opening before he draws the arc?

It must be wider than it was when constructing the arc above P.

It must be narrower than it was when constructing the arc above P.

It must be the same as it was when constructing the arc above P.

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c