Page 63 - Mathematics_Form_Two

Similarity

Revision exercise 3 6. Name a triangle which is similar to

1. In the following figure determine  ABC in the following figure.
the pairs of equal angles and the
proportional sides which make

 AEB ~ DEC.
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Mathematics for Secondary Schools

7. Use similarity to find the value of
2. Name two triangles similar to ED in the following figures.

 ABC in the following figure.

8. If PQR ~ LMN  , PR = 20 dm,

3. If  LMN ~ PQR and NL = 10 dm, NM = 12 dm and
∆PQR~∆ABC, mention equal LM = 9 dm, find the lengths of the
angles in ABC and LMN, hence other sides of PQR.
mention all proportional sides in 9. Prove that any two equilateral
 PQR and ABC. Find the ratio triangles are similar.
of proportionality for the similarity 10. In PMT and QNS,
ˆ
ˆ
ˆ
ˆ
of PQR and ABC. PMT = QSN = MTP = QNS. Prove
4. A triangle ABC is such that CA is that PM × NS = QS × MT
extended to X and BA is extended 11. Study the following figure, where
to Y so that XY / /BC. Prove that DE is parallel to BC. Answer the
AX = XY . questions that follow.
AC CB

5. A trapezium PQRS is such that
PQ / /RS. If the diagonals intersect
at X, prove that PX = QX .
RX SX

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Student's Book Form Two

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MATHEMATIC F2 v5.indd 57