PDF chapter test TRY NOW

1. Is \(\triangle PRQ \equiv \triangle QSP\)? Why?
 
YCIND_230118_4962_TN_GEO8_ST_53.png
 
Proof:
 
 StatementsReason
(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 \(\triangle MUG \equiv \triangle TUB\).
 
YCIND_230118_4962_TN_GEO8_ST_46.png
 
Proof:
 
 StatementsReason
(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