The set of points (2, 3), (9, 3), (9, 2), and (2, 2) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
parallelogram
square
rectangle
trapezoid
chart out a graph and see what shape it makes! If you still don't know I will give you the answer. :)
What is the area fo a quadrilateral with vertices (1,2) (1,4) (2,2) (2,4)?
To determine the most specific description for the given set of points, we need to analyze the characteristics of each type of quadrilateral.
1. Parallelogram:
A parallelogram is a quadrilateral with opposite sides that are parallel. To check if the given set of points forms a parallelogram, we need to see if the slopes of opposite sides are equal.
Using the slope formula:
Slope = (change in y-coordinates) / (change in x-coordinates)
Slope of side (2, 3) to (9, 3):
= (3 - 3) / (9 - 2)
= 0 / 7
= 0
Slope of side (9, 3) to (9, 2):
= (2 - 3) / (9 - 9)
= -1 / 0
(Since the denominator is 0, the slope is undefined)
Since the slopes are not equal, the points do not form a parallelogram.
2. Square:
A square is a quadrilateral with four equal sides and four right angles. Checking for equal sides, we find that the given set of points does not have four equal sides. Therefore, it is not a square.
3. Rectangle:
A rectangle is a quadrilateral with four right angles. Checking for right angles, we can see that the given set of points does not have four right angles. Hence, it is not a rectangle.
4. Trapezoid:
A trapezoid is a quadrilateral with one pair of opposite sides parallel. Checking for parallel sides, we can see that side (2, 3) to (9, 3) and side (2, 2) to (9, 2) are both horizontal, indicating parallel sides.
Therefore, the most specific description for the given set of points is a trapezoid.