Similarity and congruenceIB MYP Maths Standard: Flashcards

What these 13 flashcards ask

What does congruent mean?
What does similar mean?
Name the four conditions for congruent triangles.
Is AAA a condition for congruence?
What is the included angle in SAS?
Scale factor of an enlargement?
Length scale factor k: what happens to lengths?
Length scale factor k: what happens to areas?
Length scale factor k: what happens to volumes?
A scale of 1:25 means what?
How do you go from a larger shape back to the smaller?
How many cm^2 are in 1 m^2?
Scale factor 2: area ratio and volume ratio?

Exam questions on Similarity and congruence

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).