Page 34 - Mathematics_Form_Two

Congruence

4. Use the following figure to prove 10. A circle ABCD is centered at O.

ˆ
ˆ
that ADB = BCA, given AC = BD If ACand BD are diameters

ˆ
ˆ
and BAC = ABD. of the circle and line segments
are drawn, prove
that AD = BC. ˆ
FOR ONLINE READING ONLY
11. Find the measure of ADC in the
Mathematics for Secondary Schools 5. Consider a quadrilateralABCD
following figure.

such that AB = DC and AC bisects
ˆ
DAB. Prove that AD = BC. Angle-Angle-Side (AAS) postulate

6. Use the following figure to prove Two triangles are congruent if the angles
in any two pairs of corresponding angles
that XZ AY.= are equal and the lengths of a pair of
corresponding sides are equal.
Figure 2.5 illustrates the postulate.
A

7. Consider a quadrilateral ABCD
with two line segments DC

and AB drawn apart such that B C
ˆ
ˆ
AB = DC and ABD = BDC. Prove P

ˆ
ˆ
that DAB = BCD.
8. A triangle ABC is such that

AC = BC and DC is the bisector
ˆ
ˆ
ˆ
of BCA. Prove that ADC = BDC.
9. If O is the centre of a circle ACB
ˆ
ˆ
and AOC = COB, prove that Q R
AC = CB. Figure 2�5: Two congruent figures by AAS
postulate

28
Student's Book Form Two

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MATHEMATIC F2 v5.indd 28
MATHEMATIC F2 v5.indd 28 11/10/2024 20:11:20