WISKUNDE
GRAAD 10
NOG OEFENINGE
Driehoeke en hoeke.
MATHEMATICS
GRADE 10
MORE EXERCISES
Triangles and angles.
1. Bereken die waarde van elke letter en
die grootte van die hoek in elk van die
figure hieronder :
1. Calculate the value of each letter and
the size of the angle in every figure below :
2. Bereken, met redes, die waarde van x
en die grootte van die hoek in elk van die
hoek in elk van die figure hieronder :
2. Calculate, giving reasons, the value of x
and the size of the angle in every
figure below :
In meegaande skets is ΔABC se sy BC
verleng na D en E. ∠A = r; ∠ABD = p;
∠ABC = s; ∠ACB = t en ∠ACE = q
Gebruik die figuur en bewys, met redes, dat
p + q = 180° + r
In the accompanying diagram BC of ΔABC is
produced to D and E. ∠A = r; ∠ABD = p;
∠ABC = s; ∠ACB = t en ∠ACE = q
Use the diagram to prove, giving reasons, that
p + q = 180° + r
In vierhoek ABCD is AB = CD en AD = BC.
Bewys, met redes, dat
4.1 ΔABD ≅ ΔCDB
4.2 ∠B
1 = ∠D
2
4.3 AD || BC
In quadrilatral ABCD AB = CD and AD = BC.
Prove, giving reasons, that
4.1 ΔABD ≅ ΔCDB
4.2 ∠B
1 = ∠D
2
4,3 AD || BC
Antwoord / Answer 4
In vierhoek ABCD is AB = BC en AD = CD.
Bewys, met redes, dat
5.1 ∠B
1 = ∠B
2
5.2 AE = EC
5.3 BD ⊥ AC
In quadrilatral ABCD AB = BC and AD = CD.
Prove, stating reasons, that
5.1 ∠B
1 = ∠B
2
5.2 AE = EC
5.3 BD ⊥ AC
Antwoord / Answer 5
P, Q, R en S is punte op die omtrek van
sirkel O en ∠O
1 = ∠O
3
Bewys, met redes, dat
6.1 PQ = RS
6.2 ∠P = ∠S
P, Q, R and S are points on the
circumference of circle O
and ∠O
1 = ∠O
3
Prove, stating reasons, that
6.1 PQ = RS
6.2 ∠P = ∠S
Antwoord / Answer 6
In ΔKLN is KL = KN en
KM halveer ∠LKN.
Bewys, met redes, dat
7.1 LM = MN
7.2 KM ⊥ LN
In ΔKLN KL = KN and
KM bisects ∠LKN.
Prove, stating reasons, that
7.1 LM = MN
7.2 KM ⊥ LN
Antwoord / Answer 7
In vierhoek KLMN halveer KM ∠LKN
en ∠L = ∠N.
Bewys, met redes, dat
8.1 ΔKLM ≡ ΔKNM
8.2 LM ⊥ NM
In quadrilateral KLMN KM bisects ∠LKN
and ∠L = ∠N.
Prove, stating reasons, that
8.1 ΔKLM ≡ ΔKNM
8.2 LM ⊥ NM
Antwoord / Answer 8
In meegaande diagram is ∠P
1 = ∠Q
1,
en ∠R = ∠S.
Bewys, met redes, dat
8.1 ΔPQR ≡ ΔPQS
8.2 RT = ST
In the accompanying diagram ∠P
1 = ∠Q
1
and ∠R = ∠S.
Prove, stating reasons, that
8.1 ΔPQR ≡ ΔPQS
8.2 RT = ST
Antwoord / Answer 9