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Place them on each other and they should have the same lengths and angles.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Congruent shapes simply means both shape are identical, therefore to find two right-angled triangles are congruent you:Use a tracing paper and trace the right-angled triangle (A) and see if it matches with the other right-angled triangle (B).Another way is to find the positions or measure the triangles, if the match then viola! they're the same.
aa. If the angles are equal and the triangles are right triangles, then all three angles are equal, but the sides can grow or shrink, as long as they remain proportional.
The checking for right-angled triangles is RHS:Right angle - they both haver a right angleHypotenuse - the hypotenuse of the triangles are congruentSide - a corresponding side of the triangles are congruent.