Page 59 - Mathematics_Form_Two

Similarity

(c) 6. Identify similar triangles with
justifications from the following figure.

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Mathematics for Secondary Schools

(d)
Side-Angle-Side (SAS) similarity theorem

The SAS similarity theorem states that,
two triangles are similar if two pairs of
their corresponding sides are proportional
and one pair of corresponding angles
(e)
(formed by these sides) are equal. Figure
3.5 describes the SAS theorem.

4. It is given that AB = 2 XY, Figure 3�5: Similar triangles by
3 Side-Angle-Side theorem
2
2
BC = YZ, BC = YZ and
3 3 In Figure 3.5, if
AC = 2 XZ, show that AB AC
ˆ
3 PQ = PR and BAC QPR,= ˆ the
ΔABC ∼ ΔXYZ.

5. Show that XYZ∆  ∆ YZX.  ABC ~ PQR.

Therefore,
ˆ
ˆ
ABC = PQR and
ˆ
ˆ
ACB = PRQ.

53
Student's Book Form Two

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MATHEMATIC F2 v5.indd 53