draw the trapezium polygon on the cartesion plane and write the coordinates of their vertices
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Answer:
A coordinate grid is a grid in which points are graphed. It usually has two or more intersecting lines which divide a plane into quadrants, and in which ordered pairs, or coordinates, are defined. It usually has four quadrants, or sections, to it.
The origin is the place where the two lines intersect. Its coordinates are defined as (0,0).
The x-axis is the line running from left to right that has the numbers defined on it and is usually labeled with an "x". The x-coordinate of an ordered pair is found with relation to it. All the points located on the x-axis have a y-coordinate of 0.
The y-axis is the central line that runs up-down and is labeled with a "y". Y-coordinates are plotted in reference to this axis. Again, all the x-coordinates of points located on the y-axis are 0.
An ordered pair is a list of two numbers in parenthesis, separated by a comma like this: (5,-3). It tells where a point is located on the coordinate plane. The first number is the x-coordinate. It tells you where to go on the x-axis. If it is positive, you go to the right. If it is negative, you go to the left. The second number is the y-coordinate. It tells you where to go on the y-axis. If it is positive, you go up. If it is negative, you go down.
The vertex of a shape is the place where two sides of the shape come together. In general, when a shape is defined inside of a coordinate plane, it is defined by the vertices, and then the lines are drawn to connect them.
A polygon is any shape made up of rectilineal, or straight, lines. The smallest polygon is a triangle, which has three sides. A five-sided figure is a pentagon. And many polygons with more sides than five are also named.
A right angle is an angle that looks like where the axes on the coordinate plane meet.
Parallel lines are lines that will go on forever but will never converge.
The category of four-sided polygons includes:
the square, which has four sides of equal length and its angles are all right angles;
the rhombus which, like the square, has four equal sides, but is "tilty";
the rectangle which has two pairs of sides which are equal and all its angles are right angles;
the trapezoid which may have no equal sides, but it has two lines which are parallel; and
the parallelogram which has two sets of parallel lines which are equal in length to each other (but like the rhombus, it is "tilty").
In order to graph a figure in the coordinate plane, you just graph each of the vertices and then connect them with straight lines so that none of the lines cross. The number of sides you have is the same as the number of vertices. So a triangle, for example, is defined with three vertices.
Here is an example.
Graph a figure with the coordinates . When finished, name the figure that has been drawn on the grid.
First, plot each point on the coordinate grid and then connect the lines.
Next, in order to determine what kind of shape it is, first count the number of vertices.
This figure has four, so it is one of the four-sided shapes.
Then, look to see how many of the sides are equal.
In this case, side AB=DC and AD=BC. Since there are two sets of equal sides, this is either a rectangle or a parallelogram.
Finally, check the angles.
In this shape, the angles are right angles, so this is a rectangle.
Here is another example.
Graph and name the following figure with these coordinates