Similarity and Congruence

104.
In the diagram, triangle PRT is similar to triangle QRS.
P Q R S T 6 3 4 NOT TO SCALE

QS=3 cm, QR=4 cm and PT=6 cm.
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Paper 1
114.
The diagram shows triangle LMN. MN is parallel to HL. MT and NB intersect at P.
MN = 12 cm, NT = 16 cm, TL = 8 cm and RL = 10 cm.
L R T M N P 10 cm 8 cm 16 cm 12 cm NOT TO SCALE

(a) Name the triangle which is similar to triangle LRT.
(b) Calculate the length of MR.
(c) MP = 18 cm. Calculate the length of PT.
(d) Write one word to describe the relationship between angle TRM and angle NMR.
(a) ......................... [1] (b) ......................... [1] (c) ......................... [1] (d) ......................... [3]
Paper 1