Given: triangleGRA triangleERT angleGRA and angleERT are vertical. RE=2AR RT=2GR Prove: triangleGRA~triangleERT

glamrockqueen7

glamrockqueen7

Answered question

2021-08-10

Given:
GRA
ERT
GRAandERT are vertical.
RE=2AR
RT=2GR
Prove:
GRAERT

Answer & Explanation

okomgcae

okomgcae

Skilled2021-08-11Added 93 answers

We are given that GRAandERT are vertical, therefore:
GRA=TRE
We are also given that RE=2AR and RT=2GR, so
REAR=RTGR
Since two pairs of legs are proportional and their included angles are congruent, it's proven that GARTER by the SAS~Theorem.

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