Let's remember what is similar triangles

1.If the length of their sides are bearing same ratio

This applies in case of question 10

Triangle GHJ THE SIDES MEASURE 15,16.5,18 In triangle FHK corresponding ,sides measure( 15+5 ) ,

(16.5+5.5) ,24

RATIOS ARE 15/20,16.5/22,18/24

THIS WORKS OUT TO BE 3/4 IN ALL THE THREE SIDES, SO THE TRIANGLES ARE SIMILAR

In the case of question12,the rule is side angle side where the ratio of length of the sides containing equal angle is same

so in triangle XYZ,angle 47 degree is contained by sides with length ratio 21/30=7/10

in case of triangle IGJ,angle 47 degree is contained by sides with length ration 35/50=7/10

So they are similar

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