CK12 - Trigonometry

Recallthat thesetrianglesare consideredto be similarbecausethey havethreepair of congruentangles.
This is just one of threewaysto determinethat two trianglesare similar. The tablebelowsummarizescriteria
for determiningif two trianglesare similar.

Criteria Description Example

Two trianglesare similarof

they havethreepair of con-

gruentangles

AAA

Two trianglesare similarif

all threepair of correspond-

ing sidesare in the same

proportion

SSS

Two trianglesare similarif

two pair of corresponding

sidesare in the samepropor-

tion, and the includedangles

are congruent.

SAS

A specialcaseof SSS is “HL,”or “hypotenuseleg.” This is the caseof two right trianglesbeingsimilar. This
caseis examinedin example5 below.

Example5:Determineif the trianglesare similar.