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Given the coordinates, determine whether PQR & XYZ are congruentP(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)PQ=XY=QR=YZ=PR=XZ= Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.

Answer :

At first, we will use the rule of distance to find the sides of the 2 triangles

[tex]d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]

If PQ = XY,

QR = YZ

PR = XZ

Then the 2 triangles are congruent using SSS postulate of congruency

If any two sides not equal, then

Triangles are not congruent

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