Page 43 - Mathematics Class - X

PROCEDURE Y
1. Paste a chart paper on a cardboard of 6
suitable size. 5
2. Paste the graph paper on the chart paper.
4
3. Draw the axes X′OX and YOY ′ on the
graph paper as shown in Fig. (c). 3
2

1
X' O X
–5 –4 –3 –2 –1 0 1 2 3 4 5 6 7
–1
–2
Y'
Fig. (c)

4. Take two points A (a, b) and B (c, d) on the graph paper (see Fig. (d)).

5. Join A to B to get the line segment AB. Y
6. Calculate distance between A and B using 6
distance formula. 5
7. Measure distance between A and B using 4 A (a, b)
the ruler.
3

2
1

X' 0 X
–6 –5 –4 –3 –2 –1 1 2 3 4 5 6
–1

–2
B (c, d)
Y'
Fig. (d)
OBSERVATIONS

Actual measurements:

1. Coordinates of point A are __________.
2. Coordinates of point B are __________.

INFERENCE
The distance calculated by distance formula and distance measured by the ruler are same.

EXTENDED TASK

Find the distance between points (2, 5) and (4, 5) by using graphical method.

APPLICATION
Distance formula is used in proving a number of results in geometry.

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