Question

Which set of ordered pairs gives the polygon shown?

Both the x- and y-axes are between negative 1.5 to 1.5, and each interval mark on the axes represents one-fourth of unit. A polygon is drawn on the grid with the:
· First vertex located four interval marks to the left of the y-axis and two interval marks above the x-axis.
· Second vertex located on the y-axis five interval marks above the x-axis.
· Third vertex located three interval marks to the right of the y-axis and three interval marks below the x-axis.

A.
(–1, 0.5), (1.25, 0), (0.75, –0.75)

B.
(0.75, –0.75), (–1, 0.5), (0, 1.25)

C.
(–0.75, 0.75), (0.5, –1), (0, 1.25)

D.
(–1, 0.75), (0, 1.5), (0.75, –0.75)

Answer 1

The correct answer is B.

Explanation
Since each interval mark is 1/4 of a unit, we will write this as 0.25.  For the first point, 4 interval marks to the left of the y-axis makes it a negative number; 4(0.25) = 1; this makes the x-coordinate of this point -1.  2 interval marks above the x-axis makes it positive; 2(0.25) = 0.5; this makes the y-coordinate 0.5.  This makes the first ordered pair (-1, 0.5).

The second point is on the y-axis.  This makes the x-coordinate 0.  It is 5 intervals above the x-axis; this makes it positive.  5(0.25) = 1.25 will be the y-coordinate, making the point (0, 1.25).

The third point is 3 intervals to the right of the y-axis; this makes it positive, and 3(0.25)=0.75 for the x-coordinate.  It is 3 intervals below the x-axis; this makes it negative, and 3(0.25) = 0.75, making the y-coordinate -0.75.  This puts the third point at (0.75, -0.75).

Answer 2

Answer:

b

Step-by-step explanation: