Page 41 - Mathematics_Form_Two

Congruence

8. In the following figure, prove that
BD = DC.

FOR ONLINE READING ONLY

4. In the following figure, prove that
ˆ
ˆ
ACD = BDC.
9. Prove that the bisector of the vertical Mathematics for Secondary Schools
angle of an isosceles triangle is
perpendicular to the base at its mid-
point.
10. In the following figure AB = HB
5. Use the following figure to prove and RB = BF. Prove that:
ˆ
ˆ
ˆ
that BMA = CMA = 90 .°, given that (a) RAB = FHB (b) AM = HM
ˆ
AB = AC, .

11. Use the following figure to prove
ˆ
that AP bisects LAM. , given that
6. If ABCD is a square and AR = BR, ∆ALP ≅ ∆AMP.
prove that R is the midpoint of DC.

12. Prove that the perpendicular from
7. Prove that the line segment from the vertex to the base of an isosceles
the vertical angle of an isosceles triangle bisects the base and the
triangle to the mid-point of its base
is perpendicular to the base. vertical angle.

35
Student's Book Form Two

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MATHEMATIC F2 v5.indd 35