Write the converse of the conditional statement. determine whether the converse is true or false. if it is false, find a counterexample. collinear points are on the same line. a. if the points are on the same line, then the points are collinear. true. b. if the points are collinear, then the points are on the same line. true. c. if the points are on the same line, then the points are on the same line. true. d. collinear points are on the same line. true. select the best answer from the choices provided a b c d

a. is True.

Step-by-step explanation:

Collinear points are on the same line.

The converse is:

If the points are on the same line the the points are collinear. This is True.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is