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**Question 1. What are the coordinates of A, B, C and D in the following figure?****Solution**: The coordinates of A are (â€“4, 3).

The coordinates of B are (4, 2).

The coordinates of C are (â€“3, â€“2).

The coordinates of D are (4, â€“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 â€“3.

(ii) The ordinate of Q is â€“2.

(iii) The ordinate of R is 2.

(iv) The abscissa of S is â€“5.

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

**(i) Which point is having its ordinate as (â€“5)?****(ii) Which point is having abscissa as 4?****(iii) What are the coordinates of origin?****(iv) Which point is having abscissa as (â€“3)?****Solution: **(i) The point B is having its ordinate as (â€“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 (â€“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) âˆµ The abscissa of the point Q is 6.

The abscissa of the point R is 6.

âˆ´The points Q and R have the same abscissa.

(ii) âˆµ The ordinate of P is (â€“3).

The ordinate of R is (â€“3).

âˆ´ 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 (â€“6, 4).

The coordinates of B are (â€“3, â€“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 (â€“4, 4).

The coordinates of Q are (8, 2).

The coordinates of R are (6, â€“3).

The coordinates of S are (â€“2, â€“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, â€“2).

**Question 8. Draw a figure whose vertices are on the points whose coordinates are (4, 0), (â€“4, 0), (â€“4, 4), (4, 4) and (0, 2). Solution:** Let we draw the coordinate axes XOX' and YOY'. Now plot the points (4, 0), (â€“4, 0), (â€“4, 4), (4, 4) and (0, 2) and joining them, we get a figure as shown in the figure. It is a pentagon with its vertices as A(â€“4, 0), B(â€“4, 4), C(0, 2), D(4, 4) and E(4, 0).

**Question 9. Draw a quadrilateral whose vertices are (3, 2), (2, 3), (â€“4, 5) and (5, â€“4). Solution:** First, we draw the coordinate axes XOX' and YOY'. Now let the vertices of the required quadrilateral are A(3, 2), B(2, 3), C(â€“4, 5) and D(5, â€“4).

Therefore, plot the point A, B, C and D and join them.

We get the quadrilateral ABCD as shown in the following figure.

**Question 10. Draw a quadrilateral whose vertices are the points having coordinates as: (â€“3, 3), (3, 3), (3, â€“3) and (â€“3, â€“3). What is the special name of the quadrilateral so obtained? Solution:** First, we draw the coordinate axes XOX' and YOY'.

Let the points corresponding to the coordinates (â€“3, 3), (3, 3), (3, â€“3) and (â€“3, â€“3) be A, B, C and D respectively. âˆ´ Plot the coordinates of A, B, C and D.

Now, join A, B, C and D.

We obtain a quadrilateral ABCD. The special name of the quadrilateral so obtained is the square ABCD.

**Question 11. Three vertices of a rectangle are (3, 2), (â€“4, 2) and (â€“4, 5). Plot these points and find the coordinates of the fourth vertex. Solution:** Plotting the given points we get the following figure. Name these points as A (3, 2), B (â€“4, 2) and C (â€“4, 5).

Let the rectangle be ABCD.

We have to find its fourth vertex D.

Since, the opposite sides of a rectangle are equal.

âˆ´ The abscissa D should be equal to the abscissa of the vertex A.

â‡’ The abscissa of D is 5 Thus, the coordinates of the fourth vertex D are (3, 5) as shown in the figure.

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