Similarity and congruenceIB MYP Maths Extended: Mind map

Exam questions on Similarity and congruence

1. Triangle $ABC$ has $AB=7$ cm, $BC=9$ cm and $CA=6$ cm. Triangle $DEF$ has $DE=6$ cm, $EF=7$ cm and $FD=9$ cm.
   A pupil says: 'Any two triangles with the same three angles must be congruent.' Explain why the pupil is wrong, giving an example.2 marks
2. Two rectangles are similar. The smaller rectangle is $6$ cm long and $4$ cm wide. The larger rectangle is $15$ cm long.
   Find the area scale factor from the smaller rectangle to the larger rectangle.2 marks
3. A model car is made to a scale of $1:25$ of a real car. The real car is $4.5$ m long.
   Find the length of the model car in centimetres.3 marks