# Question-1

**Plot the following points in rectangular coordinates system. In which quadrant do they lie?**

(i) (4, 5) (ii) (4, -5) (iii) (-10, 2)

(iv) (-10, -2) (v) (-7, 5) (vi) (9, -3)

(i) (4, 5) (ii) (4, -5) (iii) (-10, 2)

(iv) (-10, -2) (v) (-7, 5) (vi) (9, -3)

**Solution:**

(i) First

(ii) Fourth

(iii) Second

(iv) Third

(v) Second

(vi) Fourth

# Question-2

**Plot the points (-1, 0), (1, 0), (1, 1), (0, 2), (-1, 1) and join them in order. What figure do you get?**

**Solution:**

The figure so formed is a pentagon.

# Question-3

**In which quadrant will the point lie, if**

(i) the ordinate is 3 and the abscissa is -4?

(ii) the abscissa is -5 and the ordinate is -3?

(iii) the ordinate is 4 and the abscissa is 5?

(iv) the ordinate is 4 and the abscissa is -4?

(i) the ordinate is 3 and the abscissa is -4?

(ii) the abscissa is -5 and the ordinate is -3?

(iii) the ordinate is 4 and the abscissa is 5?

(iv) the ordinate is 4 and the abscissa is -4?

**Solution:**

(i) The point whose ordinate is 3 and the abscissa is -4 lies in II Quadrant.

(ii) The point whose abscissa is -5 and the ordinate is -3 lies in III Quadrant.

(iii) The point whose ordinate is 4 and the abscissa is 5 lies in I Quadrant.

(iv) The point whose ordinate is 4 and the abscissa is -4 lies in II Quadrant.

# Question-4

**Draw the quadrilateral whose vertices are**

(i) (1, 1), (2, 4), (8, 4) and (10, 1)

(ii) (-2, -2), (-4, 2), (-6, -2) and (-4, -6).

Name the type of quadrilateral so formed in each case.

(i) (1, 1), (2, 4), (8, 4) and (10, 1)

(ii) (-2, -2), (-4, 2), (-6, -2) and (-4, -6).

Name the type of quadrilateral so formed in each case.

**Solution:**

The quadrilateral so formed is a trapezium.

(ii) (-2, -2), (-4, 2), (-6, -2) and (-4, -6).

The quadrilateral so formed is a rhombus.