5.2.1 Coordinates, PT3 Focus Practice


5.2.1 Coordinates, PT3 Focus Practice

Question 1
:
In diagram below, Q is the midpoint of the straight line PR.

The value of is

Solution
:
2 + m 2 = 5 2 + m = 10 m = 8


Question 2:
In diagram below, P and Q are points on a Cartesian plane.
 
 
If M is the midpoint of PQ, then the coordinates of M are

Solution:
P( 4,8 ), Q( 6,2 ) Coordinates of M =( 4+6 2 , 8+( 2 ) 2 ) =( 1,3 )


Question 3:
Find the distance between (–4, 6) and (20, –1).

Solution
:
Distance of PQ = ( 420 ) 2 + [ 6( 1 ) ] 2 = ( 24 ) 2 + 7 2 = 576+49 = 625 =25 units

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