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3 years ago

Use the given information to prove that RSU=TSV

Mathematics

1 answer:

RoseWind [281]3 years ago

3 0

Answer:

Statement, Reason

Given segment RV = segment TU, Given

m∠R = m∠T, Given

Segment RS ≅ segment ST, Base angles theorem

ΔRSV ≅ ΔTSU, SAS rule of congruency

Segment SV ≅ segment SU, CPCTC

VU ≅ UV, Reflexive property

RU = RV + VU, TV = TU + UV, Addition of segments

RV + VU ≅ TU + UV, Addition property of equality

RU ≅ TV, Transitive property of addition

ΔRSU ≅ ΔTSV, SSS rule of congruency

Step-by-step explanation:

Where:

SAS- Side Angle Side

CPCTC -Congruent Parts of Congruent Triangles are Congruent

SSS -Side Side Side

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