In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion. If congruent, write the congruence of the two triangles in symbolic form.

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Solution

In $Δ S T U$ and $Δ X Z Y$ , TU = ZY = 4 cm (0.5 mark)
TS = ZX = 3 cm (0.5 mark)
$∠ S T U = ∠ X Z Y = 30^{\circ}$ (0.5 mark)
By SAS congruence criterion, $Δ S T U ≅ Δ X Z Y$ (0.5 mark)

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In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion. If congruent, write the congruence of the two triangles in symbolic form.

In ΔSTU and ΔXZY, TU = ZY = 4 cm (0.5 mark) TS = ZX = 3 cm (0.5 mark) ∠STU=∠XZY=30∘ (0.5 mark) By SAS congruence criterion, ΔSTU≅ΔXZY (0.5 mark)

In $Δ S T U$ and $Δ X Z Y$ , TU = ZY = 4 cm (0.5 mark)
TS = ZX = 3 cm (0.5 mark)
$∠ S T U = ∠ X Z Y = 30^{\circ}$ (0.5 mark)
By SAS congruence criterion, $Δ S T U ≅ Δ X Z Y$ (0.5 mark)