Gina plotted the points
(−3,4), (4, 4), (−3,−2), and (4,−2) on the coordinate plane.
A. Determine the height of the quadrilateral.
B. Determine the length of the quadrilateral.
C. Gina said the points formed a square. Is she correct? Explain your reasoning.
Since you have a graph of the 4 points, and the numbers are integers and
rather small, you can answer your question by simply counting the spaces between the points.
Adellina, please don't include your school's name in the space for your name. It's unsafe.
ahh sorry !!
Its not letting me post the link to the graph.
Thank you.
To determine the height and length of the quadrilateral plotted by Gina, we can use the distance formula between two points in a coordinate plane.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
A. To find the height of the quadrilateral, we need to calculate the distance between the points (-3,4) and (-3,-2). Using the formula:
height = sqrt((-3 - (-3))^2 + (4 - (-2))^2)
= sqrt(0 + 36)
= sqrt(36)
= 6
Hence, the height of the quadrilateral is 6 units.
B. To find the length of the quadrilateral, we need to calculate the distance between the points (-3,4) and (4,4). Using the distance formula:
length = sqrt((4 - (-3))^2 + (4 - 4)^2)
= sqrt(49 + 0)
= sqrt(49)
= 7
So, the length of the quadrilateral is 7 units.
C. Now, to determine if the points form a square, we need to consider if the height and length are equal. In this case, the height is 6 units and the length is 7 units, so the quadrilateral cannot be a square. A square has equal sides and angles, implying that the height and length are equal. Since the height and length of this quadrilateral are not equal, Gina's claim that the points form a square is incorrect.