Everything Maths Grade 12

CHAPTER 9. GEOMETRY 9.2

∴ the assumption that thecircle does not pass through P , must be false, and A, B, P and Q lie on the
circumference of a circle and ABPQ is a cyclic quadrilateral.

Exercise 9 - 4

Find the values of the unknown letters.

X Y

Z

W

a

b

106 ◦^87

◦

P O� Q

S R

U

V

W

X

H

I

J

K

L

1. 2.

3. 4.

a

b

c

34 ◦

114 ◦

a

57 ◦

a

86 ◦

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(1.) 0222 (2.) 0223 (3.) 0224 (4.) 0225

Theorem 9. Two tangents drawn toa circle from the same point outside the circle are equal in length.

Proof: