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CBSE Class 10 Maths (Basic) 2020 · Paper 430/2/1 · Question 33

Coordinate Geometry 3 marks Medium
In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 3. 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.
123 456 789 100 012 345 678 9 Rows Columns A B C D
Fig. 3: Seat positions A(3,4), B(6,7), C(9,4), D(6,1) on the classroom grid.

Answer

All sides and both diagonals , so ABCD is a square — Champa is correct.

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