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Mathematics

Grade9

Easy

Question

The true statement among the following is__(Remember, order matters)

$Δ FGH ≅ Δ VHW$
$Δ HFG ≅ Δ HWV$
$Δ HGF ≅ Δ VHW$
$Δ FGH ≅ Δ VWH$

hint Hint:

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule. Also check the order of Congruence to match with diagram and property.

The correct answer is: $capital delta FGH approximately equal to capital delta VWH$

Given, As per diagram
∠F = ∠V (the given notation in diagram indicates both angles are equal)
FG = VW (the given notation indicates both sides are equal)
∠G = ∠W (the given notation in diagram indicates both angles are equal)
Here, two angles and side included between the angles of ΔFGH triangle are equivalent to the corresponding two angles and side included between the angles of the ΔVWH triangle
By ASA rule ,
ΔFGH ≅ ΔVWH (Here, The order of sides and angles must coincide with order of ΔFGH ≅ ΔVWH )

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