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

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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If \(\angle YTB \equiv \angle YBT\) 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