Question 12 — IGCSE 0580 May/June 2023 Paper 21
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Vectors · Vectors (basic). Worth 4 marks.
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Question text
12 (a)
A
NOT TO
SCALE
O
C
B
AO, OB and OC are all radii of the circle.
AB = BC.
Therefore triangle AOB is congruent to triangle COB.
Draw a ring around the correct criterion for this statement.
SAS RHS SSS ASA
[1]
(b)
S
P
O
NOT TO
SCALE
R
4422°°
T Q U
P, Q, R and S are points on the circle and TQU is a tangent to the circle at Q.
PR and SQ intersect at the centre of the circle, O, and PQ is parallel to SR.
Angle RQU = 42°.
Calculate
(i) angle QSR
Angle QSR = ................................................ [1]
(ii) angle PQS
Angle PQS = ................................................ [1]
(iii) angle POS.
Angle POS = ................................................ [1]
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