Page 31 - Mathematics_Form_Two

Congruence

Exercise 2�2 6. Use the following figure to prove
ˆ
ˆ
1. Use the following figure to prove that if AC = BD, then ACB = BDA.

ˆ
ˆ
that ABC= ADC.
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7. Two circles with centres at A and
B, respectively intersect at points P
2. In the following figure, AD and BC ˆ Mathematics for Secondary Schools
bisect each other at O. Prove that and Q. Prove that AB bisects PAQ
AB is parallel to CD. (Hint: use triangles APB and AQB ).
8. In the following figure, AD= AB
and CD=CB , prove that AC

bisects DÂB and DĈB.

3. In the following figure, AB CD= and
ABCD is a straight line. Prove that
ˆ
BAF CDE.= ˆ 9. In the following figure, AD BC=
and AC BD.= Prove that
 ABD  BAC.

4. If OAB is a triangle in which 10. In the following figure AD = BC
ˆ
ˆ
OA = OB, and N is the mid-point and AB=CD, prove that BAD = DCB.
ˆ
of AB, . Prove that ONA ONB.= ˆ (Hint: Join B and D)
5. If AB and CD are two equal
parallel chords of a circle with
ˆ
centre O, prove that AOB COD.= ˆ

25
Student's Book Form Two

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MATHEMATIC F2 v5.indd 25
MATHEMATIC F2 v5.indd 25 11/10/2024 20:11:16