Aparallelogram has coordinates a(1, 1), b(5, 4), c(7, 1), and d(3, -2). what are the coordinates of parallelogram a′b′c′d′ after a 180° rotation about the origin and a translation 5 units to the right and 1 unit down?

Identify the converse of the following conditional: if a point is in the first quadrant, then its coordinates are positive. if the coordinates of a point are not positive, then the point is not in the first quadrant. if the coordinates of a point are positive, then the point is in the first quadrant. if a point is in the first quadrant, then its coordinates are positive. if a point is not in the first quadrant, then the coordinates of the point are not positive.

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.