Using Cartesian Coordinates we mark a point on a graph by how far along and how far is. The left-right (horizontal) direction is commonly called X-axis. The up-down (vertical) direction is commonly called Y-axis. When we include negative values, the x and y axes
18 Case study-based-2
up it
divide
the space up into 4 pieces. Read the following passage and answer the questions that follow the above information: In a classroom, four students Sita, Gita, Rita and Anita are sitting at A (3,4), B (6,7), C (9.4), D (6,1) respectively. Then a new student Anjali joins the class.
10
9 8
7
6
Rows
3
2
1
D
4 5 6 7 Columns
Teacher tells Anjali to sit in the middle of the four students. Find the coordinates of the
i) Position where she sits.
a. (2,4)
b. (4,4)
(ii) The distance between Sita and Anita is3v3 units
(i) Which two students
b. 3√2 units
are equidistant from Gita
a. Anjali and Anita b. Anita and Rita c. Sita and Anita
(IV) The geometrical figure formed after joining the ABCD is a
a. Square
b. Rectangle
(v) The distance between Sita and Rita is
a. 4 units
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