Short Answer Type Questions: Coordinate Geometry

Question 1. What are the coordinates of A, B, C and D in the following figure?

Solution: The coordinates of A are (-4, 3).
The coordinates of B are (4, 2).
The coordinates of C are (-3, -2).
The coordinates of D are (4, -2).
 

Question 2. Look at the following figure and answer the following:
(i) What is the abscissa of P?
(ii) What is the ordinate of Q?
(iii) What is the ordinate of R?
(iv) What is the abscissa of S?

Solution: (i) The abscissa of P is -3.
(ii) The ordinate of Q is -2.
(iii) The ordinate of R is 2.
(iv) The abscissa of S is -5.
 

Question 3. Look at the following figure and answer the following:

(i) Which point is having its ordinate as (-5)?
(ii) Which point is having abscissa as 4?
(iii) What are the coordinates of origin?
(iv) Which point is having abscissa as (-3)?
Solution: (i) The point B is having its ordinate as (-5).
(ii) The point C is having its abscissa as 4.
(iii) The coordinates of O are (0, 0).
(iv) The point A is having abscissa as (-3).

Question 4. Look at the following figure and answer the following:
(i) Which two points have the same abscissa?

(ii) Which two points have the same ordinate?

Solution: (i) ∵ The abscissa of the point Q is 6.  
The abscissa of the point R is 6.
∴The points Q and R have the same abscissa.
(ii) ∵ The ordinate of P is (-3).  
The ordinate of R is (-3).
∴ The points P and R have the same ordinate.

Question 5. Read the coordinates of the vertices of the triangle ABC in the following figure:

Solution: The vertices of the triangle are A, B and C.
The coordinates of A are (-6, 4).
The coordinates of B are (-3, -3).
The coordinates of C are (2, 2).
 

Question 6. Write the coordinates of quadrilateral PQRS as shown in the following figure:

Solution: The vertices of the quadrilateral are P, Q, R and S.
The coordinates of P are (-4, 4).
The coordinates of Q are (8, 2).
The coordinates of R are (6, -3).
The coordinates of S are (-2, -2).
 

Question 7. Write the vertices of the following quadrilateral OBCD.

Solution: The vertices of the quadrilateral are O, B, C and D.
The coordinates of O are (0, 0).
The coordinates of B are (4, 2).
The coordinates of C are (8, 0).
The coordinates of D are (4, -2).