Coordinate Geometry Exercise 1A

Question 1

(i) (0, 5)

In point (0, 5), 0 is abscissa.

(ii) (3, 7)

In point (3, 7), 3 is abscissa.

(iii) (-2, 4)

In point (-2, 4), -2 is abscissa.

(iv) (6, -3)

In point (6, -3), 6 is abscissa.

Question 2

(i) (4, 0)

In point (4, 0), 0 is ordinate.

(ii) (5, 2)

In point (5, 2), 2 is ordinate.

(iii) (1, -4)

In point (1, -4), -4 is ordinate.

(iv) (-10, -7)

In point (-10, -7), -7 is ordinate.

Question 3

(i) A (5, 3)
(iii) C (-5, 3)
(v) E (-3, -2)
(vii) G (3, -4)
(ix) I (0, 6)
(xi) K (0, -2)

(ii) B (6, 2)
(iv) D (4, -6)
(vi) F (-4, 4)
(viii) H (5, 0)
(x) J (-3, 0)
(xii) O (0, 0)

Diagram for Question 3: Plotting Points

Question 4

(i) (-6, 3) ⇒ 2nd quadrant

(ii) (-5, -3) ⇒ 3rd quadrant

(iii) (11, 6) ⇒ 1st quadrant

(iv) (1, -7) ⇒ 4th quadrant

(v) (-7, -4) ⇒ 3rd quadrant

(vi) (4, -1) ⇒ 4th quadrant

(vii) (-3, 8) ⇒ 2nd quadrant

(viii) (3, -8) ⇒ 4th quadrant

Question 5

(i) (2, 0) ⇒ X axis

(ii) (0, -5) ⇒ Y axis

(iii) (-4, 0) ⇒ X axis

(iv) (0, -1) ⇒ Y axis

Question 6

(ii) B(4,0) lies on x-axis

(iv) D(-6,0) lies on x-axis

(vii) G(-1,0) lies on x-axis

Question 7- graph in book

(i) (2, 1) = E

(ii) (0, 5) = B

(iii) (2, 0) = G

and coordinates of:

A = (4, 5)

F = (5.5, 0)

Question 8-graph in book

Coordinates:

A(4, 7), B(7, 4), C(4, 1), D(1, 4), E(3, 5), F(5, 5), G(5, 3), H(3, 3), I(4, 5), J(5, 4), K(4, 3), L(3, 4)

Question 10

(i) A(4, 0), B(4, 2), C(4, 2.5) and D(4, 6)

Diagram for Question 10 (i)

(ii) P(1, 1), Q(2, 2), R(3, 3) and S(4, 4)

Diagram for Question 10 (ii)

Question 12

Area = ½ × Base × Height = ½ × 6 × 3 = 9 sq. units

Diagram for Question 12

Question 14

In order ABCD, D = (3, 0)

Diagonals AC = 4 units, BD = 4 units. They are equal.

Diagram for Question 14