Question

Question No. 7: (10 marks)
The diagram shows the points A (1, 2), B (4, 6) and D(-5, 2).
• B(4,6)
OX-5,2)
4(1.27
(a) Find the coordinates of the midpoint of AB,
(b) Calculate the length of AB.
(c) Calculate the gradient of the line AB.
(d) Find the equation of the line AB.
(c) The triangle ADC has line of symmetry x = 4.
Find the coordinates of C.​

Answer 1

Step-by-step explanation:

Given: (x

1

,y

1

)=(2,3) and (x

2

,y

2

)=(4,7)

Mid-point =(

2

x

1

+x

2

,

2

y

1

+y

2

)

=(

2

2+4

,

2

3+7

)

=(

2

6

,

2

10

)

=(3,5).