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8.1 Open the folder downloaded from page vii for extra
questions of Mastery Q 8.1.
1. Determine whether each of the following statements is TRUE or FALSE.
(a) A reflex angle is greater than the angle on a straight line.
(b) The sum of an obtuse angle and an acute angle yields a reflex angle.
(c) Two adjacent angles on a straight line are supplementary angles.
(d) The sum of two conjugate angles is the angle of one whole turn.
(e) If m and n are conjugate angles, then either m or n is a reflex angle but not both
of them.
2. It is given that p and q are congruent angles and also complementary angles. State
the values of p and q.
3. It is given that PQ = 7 cm. If PQ and RS are congruent line segments, state the length
of line segment RS.

4. If p and q are supplementary angles and the difference between p and q is 30°, find
the values of p and q such that p . q.
5. If p and q are conjugate angles and the size of q is four times that of p, find the
values of p and q.

6. (a) Using only a ruler and a pair of compasses,
(i) copy the given line segment PQ and construct a triangle PQR beginning
from the line PQ such that QR = 6 cm and ∠RPQ = 60°,
CHAPTER
8 (ii) then, construct the perpendicular line to PR passing through point Q.
(b) Based on your construction in (a), measure the perpendicular distance from Q to
line PR.

P Q

7. The diagram shows a triangle ABC. Using only a ruler C
and a pair of compasses,
7 cm
(a) copy the given line segment AB and construct
triangle ABC according to the given measurements
beginning from straight line AB. 30°
A B

A B

(b) then, construct the perpendicular bisector of line AC. The perpendicular bisector
intersects line AC at point P and intersects line BC at point Q. Measure ∠PQC.

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Chapter 8

08 TB Math F1.indd 184 11/10/16 12:17 PM