Similar Figures (part 2) Problem Solving | Beard Squared

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Similar Figures (part 2) Problem Solving

Jason is drawing a scale diagram of his bedroom, which is a rectangle 5.2 m long by 4.6 m wide.
On his diagram he draws his room 8 cm long.
a) How wide will his bedroom be on the diagram?
b) What is the scale factor for the diagram?

A picture x cm by y cm is surrounded by a frame z cm wide, as illustrated. Prove that the rectangles in the figure are similar only if the picture is a square.

In the last example we notice that quadrilaterals that are equiangular are not necessarily similar, and quadrilaterals that have sides in proportion are not necessarily similar.

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