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

UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

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:

vertical angles are congruent

follows from 1 and 4

by SSS(2, 4, 5) and also by SAS(2, 1, 4)

by ASA(1,3,5)

if angles, then sides

given

By reflexive property

follows from 3

Did you find an error?

13. Four mark example problems IX