Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(a) $(1, 2), (2, 4), (3, 6), (4, 8)$ .
(b) $(1, 1), (1, 2), (2, 1), (2, 2)$ .
(c) $(4, 2), (2, 4), (3, 3), (5, 4)$ .

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Solution

Step 1. Plot the points $(1, 2), (2, 4), (3, 6), (4, 8)$ on a graph sheet.
Plot the given points on the graph and join all the points.
The graph is shown below:
From the graph we can observe that the given points lie in a straight line.
Hence, the points $(1, 2), (2, 4), (3, 6), (4, 8)$ form a straight line.

Step 2. Plot the points $(1, 1), (1, 2), (2, 1), (2, 2)$ on a graph sheet.
Plot the given points on the graph and join all the points.
The graph is shown below:
From the graph, observe that the given points do not lie in a straight line, and form a square as the length of each side is $1 unit$ .
Hence, the points $(1, 1), (1, 2), (2, 1), (2, 2)$ form a square.

Step 3. Plot the points $(4, 2), (2, 4), (3, 3), (5, 4)$ on a graph sheet.
Plot the given points on the graph and join all the points.
The graph is shown below:
From the graph, observe that the given points do not lie in a straight line and form a triangle when $A$ and $D$ are joined.
Hence, the points $(4, 2), (2, 4), (3, 3), (5, 4)$ form a triangle when $A$ and $D$ are joined.

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(a) A (4, 0), B (4, 2), C (4, 6), D (4, 2.5)

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