UPSKILL MATH PLUS
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Learn moreIf \angle YTB \equiv \angle YBT and \angle BOY \equiv \angle TRY, prove that \triangle BOY \equiv \triangle TRY.

Proof:
Statements | Reasons | |
(i) | \angle BYO \equiv \angle TYR | |
(ii) | \angle YTB \equiv \angle YBT | |
(iii) | BY \equiv TY | |
(iv) | \angle BOY \equiv \angle TRY | |
(v) | \angle OBY \equiv \angle RTY | |
(vi) | \triangle BOY \equiv \triangle TRY |
Answer variants:
given
by ASA(1,3,5)
if angles, then sides
follows from 3
by SSS(2, 4, 5) and also by SAS(2, 1, 4)
By reflexive property
follows from 1 and 4
vertical angles are congruent