2 triangles are stated to be similar if their matching angles space congruent and also the corresponding sides room in relationship . In various other words, similar triangles are the exact same shape, yet not necessarily the exact same size.

The triangles room congruent if, in addition to this, their corresponding sides space of equal length.

The side lengths of two comparable triangles room proportional. The is, if Δ U V W is comparable to Δ X Y Z , then the following equation holds:

U V X Y = U W X Z = V W Y Z

This typical ratio is called the scale factor .

The symbol ∼ is provided to show similarity.


Example:

Δ U V W ∼ Δ X Y Z . If U V = 3 , V W = 4 , U W = 5     and also     X Y = 12 , discover X Z and also Y Z .


attract a figure to assist yourself visualize.

*

create out the proportion. Make sure you have actually the matching sides right.

3 12 = 5 X Z = 4 Y Z

The scale element here is 3 12 = 1 4 .

fixing these equations gives X Z = 20 and Y Z = 16 .

The ideas of similarity and scale aspect can be prolonged to other figures besides triangles.


Subjects close to Me
SAT subject Test in World background Courses & Classes exam PA - Predictive Analytics test Prep NNAT test Prep CATIA Tutors Essay composing Tutors CCNA Data center - Cisco Certified Network Associate-Data center Test prep COMLEX process & Classes afri American studies Tutors CLEP College mathematics Courses & Classes molecular Pathology Tutors French process & great CRM - Certified risk Manager process & great Special education Tutors Revit Tutors SAT subject Test in Japanese with Listening check Prep Australian research studies Tutors CLEP Spanish Tutors Police Academy test Tutors Wisconsin Bar exam Test prepare EMT Certification process & classes
Popular Cities
Chicago Tutoring Virginia coast Tutoring Albany Tutoring Seattle Tutoring Cleveland Tutoring Washington DC Tutoring Orlando Tutoring Milwaukee Tutoring Raleigh-Durham Tutoring Syracuse Tutoring
Popular Subjects
French Tutors in Seattle analysis Tutors in Boston computer Science Tutors in Chicago Algebra Tutors in Dallas ft Worth Physics Tutors in Miami biology Tutors in Seattle biological Tutors in new York City Chemistry Tutors in san Diego GRE Tutors in Miami mathematics Tutors in Dallas ft Worth

Download our free learning tools apps and test prep books


Show More


Varsity Tutors
Our Company
Free Resources
Top Subjects
Top Locations
Show legitimate DisclaimerHide legit DisclaimerPrivacy PolicyTerms that UseSitemapSign In

Names of standardization tests are owned through the trademark holders and also are no affiliated through Varsity Tutors LLC.

You are watching: In similar figures, ___ sides are proportional.

*See finish details for much better Score Guarantee.

Media outlet trademarks space owned by the particular media outlets and also are not affiliated through Varsity Tutors.

Award-Winning claim based on CBS Local and Houston press awards.

Varsity Tutors go not have actually affiliation through universities pointed out on its website.

See more: Bra In Novels, Falling Action Is Often Followed By A, Falling Action

Varsity Tutors connects learners with experts. Instructors room independent contractors who keep going their services to each client, using their very own style,methods and materials.