Page 48 - Mathematics_Form_Two

Similarity

proportionality so that the pair of the
(b) Given that  PQR ~ LMN
and PQR ~ ABC,  identify triangles are similar. In each case,
the corresponding angles and state the pair of similar triangles.
corresponding sides between (a)
ABC and LMN.
 2. (a) One rectangle is 10 cm long
FOR ONLINE READING ONLY
Mathematics for Secondary Schools measures 10 cm in length and
and 5 cm wide, while another

4 cm in width. Determine
whether the two rectangles are
similar or not, and give reasons
for your answer.
(b) A rectangle has a length of
23 cm and width of 16 cm. A
second rectangle has length of
12 cm and width of 9 cm. Are (b)
the two rectangles similar?

Explain your answer.
3. Given that ΔABC and ΔLMN are
ˆ
similar, find the value of ACB, if:
ˆ
(a) ABC = 70° and
ˆ
MNL = 40°.
(b) ABC MLN + ˆ ˆ = 130°
ˆ
ˆ
(c) LNM and BAC are
complementary and
ˆ
NLM = 560 (c)
4. Given that

AB BT TA
= 2, = 2 and = 2, ;
KL LS SK
(a) name the triangles which are
similar.
(b) identify the corresponding
angles.

5. In each of the following figures, 6. Use the vertices A, D, B, C, and E

determine the constant of of the following figure to identify

42
Student's Book Form Two

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MATHEMATIC F2 v5.indd 42
MATHEMATIC F2 v5.indd 42 11/10/2024 20:11:31