Two mark exercise problems — task. Mathematics State Board, Class 8.

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1. Is

$\triangle PRQ \equiv \triangle QSP$ ? Why?

Proof:

	Statements	Reason
(i)	$\angle PRQ = \angle PSQ = 90^{\circ}$
(ii)	$PR = QS = 3 \ cm$
(iii	$PQ = PQ = 5 \ cm$
(iv)	$\triangle PRQ \equiv \triangle QSP$

2. In the figure, given that

$\angle 1 \equiv 2$ and

$\angle 3 \equiv \angle 4$ . Prove that

$\triangle MUG \equiv \triangle TUB$ .

Proof:

	Statements	Reason
(i)	$MU = TU$	Since $\angle 3 = \angle 4$ then
(ii)	$UG = UB$	Since $\angle 1 = \angle 2$ then
(iii)	$\angle GUM = \angle BUT$
(iv)	$\triangle MUG \equiv \triangle TUB$	(1, 2, 3)

Answer variants:

vertically opposite angles

common

by SSS congruence

given

opposite sides of equal angles are equal

by RHS congruence

by SAS congruence

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4. Two mark exercise problems