Here we are going to see how to graph  the triangles and quadrilaterals.

(i)  Mark the given points on the graph sheet one by one.

(x, y)  ==>  Choose the first quadrant

(-x, y)  ==> Choose the second quadrant

(-x, -y)  ==> Choose the third quadrant

(x, -y)  ==> Choose the fourth quadrant

(ii)  Join the marked points.

(iii) Name the vertices.

Let us look into some example problems based on the above concept.

Example 1 :

Graph the triangle with vertices (2, -3), (-6, -7) and aaaa(-8, -3)

Solution :

(2, -3) ===> (x, -y)  ===> lies in the fourth quadrant

(-6, -7)  ===> (-x, -y)  ===> lies in the third quadrant

(-8, -3)  ===> (-x, -y)  ===> lies in the third quadrant

By plotting the given points, we got above triangle ABC.

Example 2 :

Graph the vertices(-7, -5), (-4, 3), (5, 6) and (2, –2) and name the quadrilateral so formed.

Solution :

(-7, -5) ===> (-x, -y)  ===> lies in the third quadrant

(-4, 3)  ===> (-x, y)  ===> lies in the second quadrant

(5, 6)  ===> (x, y)  ===> lies in the first quadrant

(2, -2)  ===> (x, -y)  ===> lies in the fourth quadrant

By plotting the given points, we got above parallelogram ABCD.

Hence ABCD is a parallelogram.

Example 3 :

Graph the vertices (0, 0), (3, 4), (0, 8) and (-3, 4) and name the quadrilateral so formed.

Solution :

(0, 0)  ===> Origin

(3, 4)  ===> (x, y)  ===> lies in the first quadrant

(0, 8)  ===> (0, y)  ===> lies on the y-axis

(-3, 4)  ===> (-x, y)  ===> lies in the second quadrant

By plotting the given points, we got above rhombus ABCD.

Hence ABCD is a rhombus.

Example 4 :

Graph the vertices (8, 3), (0, -1), (-2, 3) and (6, 7) and name the quadrilateral so formed.

Solution :

(8, 3)  ===> (x, y) ===> lies in the first quadrant

(0, -1)  ===> (0, -y) ===> lies on the y-axis

(-2, 3)  ===> (-x, y) ===> lies in the second quadrant

(6, 7)  ===> (x, y)  ===> lies in the first quadrant

By plotting the given points, we got above rectangle ABCD.

Hence ABCD is a rectangle.

After having gone through the stuff given above, we hope that the students would have understood "Graph triangles and quadrilaterals".

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