2.10: Line $AB$ ; show angle $ADC$ is a right angle

0606/22/M/J/17 — Question 8 · 7 marks

Solutions to this question by accurate drawing will not be accepted.

The points

A

and

B

are

(-8, 8)

and

(4, 0)

respectively. The point

C

(0, 7)

and

D

is the mid-point of

AB

(i)

Find the equation of the line

AB

[2]

(ii)

Calculate the length of

AB

[2]

(iii)

Show that angle

ADC

is a right angle.

[3]

2.10: Line ABABAB; show angle ADCADCADC is a right angle