Reasons for Similar Triangles

When proving these triangles similar, what would you write in for the missing reason?

• Math

• Corresponding sides are proportional

• Corresponding sides are congruent

• SSS similarity postulate

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

What reasons complete the proof?

• Given, AA Similarity Postulate

• Vertical Angle Theorem, AA Similarity Postulate

• Reflexive Property, SAS Similarity Postulate

• Definition of Angle Bisector, SSS Similarity Postulate

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

• similar by SSS~

• ΔQNP

• similar by AA~

• similar by SAS~

• not similar

• ΔPNQ

• ΔNPQ

• ΔNQP

• none of these

• similar by SSS~

• similar by AA~

• not similar

• similar by SAS~

• ΔPZL

• none of these

• ΔPLZ

• ΔZPL

• ΔZLP

• ΔLPZ

• similar by SSS~

• none of these

• similar by AA~

• similar by SAS~

• not similar

• ΔXWT

• ΔXTW

• ΔWXT

• ΔWTX

• ΔTXW

• similar by SSS~

• similar by AA~

• not similar

• similar by SAS~

• ΔCDE

• ΔDCE

• none of these

• ΔDEC

• ΔEDC

• ΔCED

• similar by SSS~

• none of these

• similar by AA~

• similar by SAS~

• ΔLMK

• not similar

• ΔMLK

• ΔKLM

• ΔMKL

• ΔKML

• similar by SSS~

• ΔQNP

• similar by AA~

• similar by SAS~

• not similar

• ΔPNQ

• ΔNPQ

• ΔNQP

• none of these