Worksheet: Orienting Yourself: The Use of Coordinates - 2

Q1: Which point lies in Quadrant III?
 (a) (2,5)
 (b) (−3,4)
 (c) (−2,−7)
 (d) (6,−1)

Q2: The ordinate of (8,−6) is:
 (a) 8
 (b) -6
 (c) 2
 (d) 14

Q3: Distance between (0,2) and (0,−5) is:
 (a) 3
 (b) 5
 (c) 7
 (d) 10

Q4: Two points P(a,b) and Q(b,a) are the same point if and only if:
 (a) a>b
(b) a<b​
(c) a=b​​
(d) a=0​

Q5: State whether the following statement is True or False:
 “The point (5,0) lies on the y-axis.”

Q6: State whether the following statement is True or False:
“The quadrants of the Cartesian plane are numbered I to IV in a clockwise direction starting from the top-right region.”

Q7: In Quadrant II, the x-coordinate is __________.

Q8: A point TT lies in Quadrant IV. If its ordinate is 
-7, then the sign of its abscissa must be __________.

Q9: Fill in the blanksBased on the above cartesian planes:
(i) The co-ordinates of point A are   ………..
(ii) The co-ordinates of point B are   ………..
(iii) The co-ordinates of point C are   ………..
(iv) The co-ordinates of point D are   ………..
(v) The co-ordinates of point E are   ………..
(vi) The co-ordinates of point F are   ………..
(vii) The co-ordinates of point G are   ………..

Q10: In the following figure, what are the coordinates of: (i) A, (ii) B, (iii) origin?

Q11: A drone moves from (−1,4) to (5,4). How far does it travel?

Q12: On a city map, a hospital is located at H(-2,3) and a bus stop is at B(4,3). Each unit represents 500 m. Find the straight-line distance between the hospital and the bus stop in kilometres.

Q13: Triangle ABC has vertices A(0, 0), B(4, 0), and C(2, 3). Find the lengths of all three sides and determine whether the triangle is isosceles.

Q14:  Plot A(1,1), B(4,1), C(4,5), D(1,5). Name the shape formed and find AB.

Q15:  Plot P(−3,2), Q(2,2), R(2,−2). Identify quadrants of points and find QR.