Could δjkl be congruent to δxyz? explain. yes, if jl ≅ xz. yes, if xz = 10. no, because the hypotenuse of one triangle is equal in length to the leg of the other triangle. no, because the leg of one triangle is equal in length to the leg of the other triangle.

No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Explanation

Two triangles are congruent if their corresponding sides are congruent.

In this case one leg of the ΔXYZ measures 10 (XY=10), then its hypotenuse (the largest side in a rectangle side) must measure more than 10.

The hypotenuse of the two triangles are different: hypotenuse of  ΔJKL measures (KL=10) and the hypotenuse of  ΔXYZ measures more than 10 (YZ>10), then they are not congruent and the triangles are not congruent

ΔJKL is not congruent to ΔXYZ because the hypotenuse of one triangle is equal in length to the leg of the other triangle

Two triangles are said to be congruent if they have the same shape and all the sides are equal.

Two right angled triangles are congruent if the hypotenuse and one leg is equal to that of the other triangle.

ΔJKL is not congruent to ΔXYZ because the hypotenuse of one triangle is equal in length to the leg of the other triangle

Find out more on Congruent triangles at: link

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