AlaijahN32799 AlaijahN32799
  • 25-10-2022
  • Mathematics
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Given: SQ bisects RQT and RST Prove: QRS is congruent to QTS

Given SQ bisects RQT and RST Prove QRS is congruent to QTS class=

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AldrichN35789 AldrichN35789
  • 25-10-2022

Provide a reason for each given statement:

Reason 1:

Given

Reason 2:

SQ bisects the angle RQT.

Reason 3:

SQ bisects the angle RST

Reason 4:

Reflexive property of the congruence

Reason 5:

ASA criterion.

Notice that since two angles form the triangles are congruent, then RQS and TQS are similar triangles. Then, it is enough to show that they have one congruent side to prove that they are in fact more than similar, but congruent.

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