PDF chapter test TRY NOW
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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