Four mark example problems IX — task. Mathematics State Board, Class 8.

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$\angle YTB \equiv \angle YBT$ 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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13. Four mark example problems IX