In pair of triangle in the following figure, parts bearing identical marks are congruent. State the test and correspondence if vertices by which triangle in each pair are congurent.

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Solution

Consider the triangles $Δ X W Z$ and $Δ Y X Z$
Here $W X = W Y$ (Given )
$W Z = W Z$ (common side )
$∠ X W Z = ∠ Y W Z$ (Given)
So, by $S A S$ criteria
The trriangles are congruent

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In pair of triangle in the following figure, parts bearing identical marks are congruent. State the test and correspondence if vertices by which triangle in each pair are congurent.

Consider the triangles ΔXWZ and ΔYXZHere WX=WY (Given )WZ=WZ (common side )∠XWZ=∠YWZ (Given)So, by SAS criteria The trriangles are congruent

Consider the triangles $Δ X W Z$ and $Δ Y X Z$
Here $W X = W Y$ (Given )
$W Z = W Z$ (common side )
$∠ X W Z = ∠ Y W Z$ (Given)
So, by $S A S$ criteria
The trriangles are congruent