Answered

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State whether the triangles are similar. If they are, write a similarity statement and the postulate or theorem you used.
Given: m∠R = 29° and m∠T = 29°

State Whether The Triangles Are Similar If They Are Write A Similarity Statement And The Postulate Or Theorem You Used Given MR 29 And MT 29 class=

Sagot :

JeanaShupp

Answer: Correct option: B. ΔQRS ≈ ΔUTV, SAS

Step-by-step explanation:

IN the given triangles (ΔQRS and ΔUTV),

m∠R = 29° and m∠T = 29°  (given)

[tex]\dfrac{QR}{UT}=\dfrac{16}{8}=2\\\\\dfrac{SR}{VT}=\dfrac{64}{32}=2\\\\\therefore\dfrac{QR}{UT}=\dfrac{SR}{VT}[/tex]

By SAS similarity rule , ΔQRS ≈ ΔUTV .

Correct option: B. ΔQRS ≈ ΔUTV, SAS

  • The SAS similarity theorem says that if 2 sides in a triangle are proportional to 2 sides in another triangle and the included angle in both are congruent, then the 2 triangles are similar.

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