Page 42 - Mathematics_Form_Two

Congruence

13. Use the following figure to prove 17. If PQR is an equilateral triangle
ˆ
ˆ
that BAD = BCD.
such that PQ is extended to S so that
QS QR.= Calculate the measure of
ˆ
QRS.
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18. Use the following figure to find the
Mathematics for Secondary Schools 14. If PA bisects the angle BAC and
values of a, b, c, and d.
ˆ

Q is the point on AB such that
QP / /AC. Prove that AQ QP.=

19. If AB // CD, prove that

ˆ
15. Given the trapezium ABCD such that PQB CRS.= ˆ
ˆ
ˆ
DAX = CBX and CX is drawn
parallel to AD as shown in the
following figure. Prove that BXC
is an isosceles triangle.

20. Prove that a quadrilateral in which
16. If AB = AC, use appropriate its diagonals bisect each other is a
congruence postulate to find the value parallelogram.
ˆ
of AXB in the following figure. 21. Prove that a quadrilateral in which
both pairs of opposite angles are
equal is a parallelogram.
22. Prove that the base angles of an
isosceles triangle are congruent.

36
Student's Book Form Two

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MATHEMATIC F2 v5.indd 36