Similar Lengths Flashcards

All 4 cards in this deck

In a 'split' triangle where $BE$ is parallel to $CD$ ($ABC$ and $AED$ straight lines), which sides correspond?

$AB$ with $AC$, $AE$ with $AD$, and $BE$ with $CD$ — the two similar triangles are $ABE$ and $ACD$.

True or false? In a split triangle with $BE$ parallel to $CD$, the side $AB$ corresponds to the part $BC$.

False. $AB$ corresponds to the whole side $AC$, measured from the common vertex $A$.

True or false? The scale factor between two similar shapes must be greater than 1.

False. Going from the larger shape to the smaller one gives a scale factor between $0$ and $1$, e.g. $0.25$.

For two similar solids, what is true of corresponding lengths?

Every corresponding length is in the same ratio — multiply by the linear scale factor.
e.g. with scale factor $3$, the height, width and radius all treble.