Fig. 10

shows

a sketch

of

a circle

with

centre

C

(4,

2).

The

circle

intersects

the

x-axis

at

A(l,

0)

and

at

B.

y

C (4, 2)

•

Fig.

10

(i)

Write

down

the

coordinates

ofB.

[l]

(ii)

Find

the

radius

of

the

circle

and

hence

write

down

the

equation

of

the

circle

.

[4]

(iii)

AD

is a diameter

of

the

circle.

Find

the

coordinates

of

D.

[2]

(iv)

Find

the

equation

of

the

tangent

to

the

circle

at

D.

Give

your

answer

in

the

form

y

=

ax+b​

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent? a. use the slope formula to prove the slopes of the opposite sides are the same. b. use the slope formula to prove the slopes of the opposite sides are opposite reciprocals. c. use the distance formula to prove the lengths of the opposite sides are the same. d. use the distance formula to prove the midpoints of the opposite sides are the same.