Page 37 - Mathematics_Form_Two

Congruence

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7. In the following figure, AC is the 11. Find the value of YZC in the
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bisector of BAD and B and D are following figure.
the feet of the perpendiculars from
C. Prove that AB = AD.

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Mathematics for Secondary Schools

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8. In the following figure, ABC = ACB, Right angle-Hypotenuse-Side (RHS)
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BX bisects ABC and CY bisects postulate
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ACB, . Prove that BX = CY. Two right-angled triangles are congruent
if their hypotenuses have equal length
and a pair of the corresponding sides have
equal length. Figure 2.7 illustrates the
postulate.

9. Use the following figure to prove
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ˆ
that BC = AD , if ABC = BAD and
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BCA = ADB.

10. Consider a quadrilateral ABCD
such that AD is parallel to BC and
O is the point of intersection of the

diagonals. If AD = BC, prove that Figure 2�7: Two congruent right-angled
 AOD  COB. triangles with RHS postulate

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Student's Book Form Two

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