Short Answer TypeFind the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.
Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle.
In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 7.8. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.
Fig. 7.8
![Let A(3, 4), B(6, 7), C(9, 4) and D(6, 1) be the given points. Then]](/application/zrc/images/qvar/MAEN10042038-1.png)
]We see that,
AB = BC = CD = DA
and AC = BD
Therefore, ABCD is a square.
Hence, Champa is correct.
Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(-1, -2), (1, 0), (-1, 2), (-3, 0)
Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(–3, 5), (3, 1), (0, 3), (–1, – 4)
Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(4, 5), (7, 6), (4, 3), (1, 2)
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