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zubka84 [21]
3 years ago
12

"Name the postulate or theorem you can use to prove triangle SUR=TVR

Mathematics
2 answers:
Reil [10]3 years ago
8 0
SAS Postulate, as that is what SUR and TVR give. 
Nastasia [14]3 years ago
7 0

Answer with explanation:

In Δ S RT and Δ V RU

ST ║ UV

→ ∠U RV = ∠S RT⇒Vertically opposite angles

→∠RST=∠RVU→→Alternate interior angles as, ST ║ UV.

Also, ∠RU V=∠ R T S→→Alternate interior angles as, ST ║ UV.

Δ S RT ~ Δ V RU⇒[AAA]

When triangles are similar their sides are proportional.

\frac{SR}{RV}=\frac{TR}{RU}

In Δ S RU and ΔTR V

∠ S RU = ∠TR V⇒Vertically opposite angles

\frac{SR}{RV}=\frac{TR}{RU}

≡ Δ S RU ~ ΔTR V→→[S A S]

So,  ΔS UR=ΔT V R , by SAS postulate

Option B

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3 years ago
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