Everything Maths Grade 12

CHAPTER 9. GEOMETRY 9.2

1. 2.

3. 4.

5. 6.

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A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y Z

O

21 ◦

a

15 ◦

b

24 ◦

c

d

17 ◦

45 ◦

35 ◦

12 ◦

e

f

35 ◦

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(1.) 021w (2.) 021x (3.) 021y (4.) 021z (5.) 0220 (6.) 0221

Cyclic Quadrilaterals

Cyclic quadrilaterals arequadrilaterals with all four vertices lying on the circumference of a circle.The
vertices of a cyclic quadrilateral are said to be concyclic.

Theorem 7. The opposite angles ofa cyclic quadrilateral aresupplementary.

Proof: