Class 09 To find a hidden picture by plotting and joining the various points with given coordinates in a plane.

 Activity 12

OBJECTIVE                                                                    

To find a hidden picture by plotting and joining the various points with given coordinates in a plane.

 MATERIAL REQUIRED

Cardboard, white paper, cutter, adhesive, graph paper/squared paper, geometry box, pencil.

METHOD OF CONSTRUCTION

1.   Take a cardboard of a convenient size and paste a white paper on it.

2.   Take a graph paper and paste it on the white paper.

3.   Draw two rectangular axes X′OX and Y′OY as shown in Fig. 1.

4.   Plot the points A, B, C, ... with given coordinates (a, b), (c, d), (e, f), ..., respectively as shown in Fig. 2.

Join the points in a given order say A→B→C→D→.....→A [see Fig. 3]

DEMONSTRATION

By joining the points as per given instructions, a ‘hidden’ picture of an ‘aeroplane’ is formed.

OBSERVATION

In Fig. 3:

Coordinates of points A, B, C, D, .......................

are ........, ........, ........, ........, ........, ........, ........

Hidden picture is of ______________.

APPLICATION

This activity is useful in understanding the plotting of points in a cartesian plane which in turn may be useful in preparing the road maps, seating plan in the classroom, etc.