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
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