17. An unknown quadrilateral has these points: A(0,-3) B(6,-3) C(9,1) D(3,1) Based on your discoveries about the slopes of the sides, can this shape be a parallelogram? (hint: compare the slopes of the opposite sides; to be parallel, opposite sides must have the same slope) (1 point) Responses yes; the slopes of the opposite sides are 5/3 and 0 respectively yes; the slopes of the opposite sides are 5/3 and 0 respectively yes; the slopes of the opposite sites are 4/3 and 0 respectively yes; the slopes of the opposite sites are 4/3 and 0 respectively no; opposite sides do not have the same slope
no; opposite sides do not have the same slope
Wrong Uh
Apologies for the incorrect response. Let's calculate the slopes of the opposite sides.
The slope of side AB can be calculated as (change in y / change in x):
slope of AB = (y2 - y1) / (x2 - x1) = (-3 +3) / (6 - 0) = 0 / 6 = 0
The slope of side BC can be calculated as:
slope of BC = (y2 - y1) / (x2 - x1) = (1 + 3) / (9 - 6) = 4 / 3
The slope of side CD can be calculated as:
slope of CD = (y2 - y1) / (x2 - x1) = (1 + 3) / (3 - 9) = 4 / -6 = -2 / 3
The slope of side DA can be calculated as:
slope of DA = (y2 - y1) / (x2 - x1) = (-3 + 3) / (0 - 3) = 0 / -3 = 0
As we can see, the slopes of the opposite sides are not equal. The slope of BC is 4/3, while the slope of CD is -2/3. Therefore, the shape cannot be a parallelogram.
The correct response is:
no; opposite sides do not have the same slope.
THATS WRONG
Apologies for the confusion. Let's calculate the slopes of the opposite sides again.
The slope of side AB can be calculated as (change in y / change in x):
slope of AB = (y2 - y1) / (x2 - x1) = (-3 +3) / (6 - 0) = 0 / 6 = 0
The slope of side BC can be calculated as:
slope of BC = (y2 - y1) / (x2 - x1) = (1 + 3) / (9 - 6) = 4 / 3
The slope of side CD can be calculated as:
slope of CD = (y2 - y1) / (x2 - x1) = (1 + 3) / (3 - 9) = 4 / -6 = -2 / 3
The slope of side DA can be calculated as:
slope of DA = (y2 - y1) / (x2 - x1) = (-3 + 3) / (0 - 3) = 0 / -3 = 0
As we can see, the slopes of the opposite sides are 0 and 4/3 respectively. Therefore, the shape cannot be a parallelogram.
The correct response is:
no; opposite sides do not have the same slope.
OHH MY GOD THAT IS INCORRECT
Apologies for the repeated incorrect response. Let's calculate the slopes of the opposite sides one more time.
The slope of side AB can be calculated as (change in y / change in x):
slope of AB = (y2 - y1) / (x2 - x1) = (-3 + 3) / (6 - 0) = 0 / 6 = 0
The slope of side BC can be calculated as:
slope of BC = (y2 - y1) / (x2 - x1) = (1 + 3) / (9 - 6) = 4 / 3
The slope of side CD can be calculated as:
slope of CD = (y2 - y1) / (x2 - x1) = (1 - 1) / (3 - 3) = 0 / 0 (undefined)
The slope of side DA can be calculated as:
slope of DA = (y2 - y1) / (x2 - x1) = (-3 - 1) / (0 - 3) = -4 / -3 = 4 / 3
My apologies again for the confusion caused by the incorrect responses before. Based on the slopes of the opposite sides, we can see that the slope of AB is 0 and the slope of CD is undefined. This means that AB is a horizontal line and CD is a vertical line. In a parallelogram, opposite sides should have the same slope, which is not the case here. Therefore, the shape cannot be a parallelogram.
The correct response is:
no; opposite sides do not have the same slope.
These are the choices its either the first one or the second NOT THE LAST
yes; the slopes of the opposite sides are 5/3 and 0 respectively
yes; the slopes of the opposite sites are 4/3 and 0 respectively
no; opposite sides do not have the same slope
Apologies for the confusion. Based on the given choices, the correct answer is:
yes; the slopes of the opposite sides are 5/3 and 0 respectively
Thank you for providing the correct options.