Place them on each other and they should have the same lengths and angles.
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You could prove two triangles are congruent by measuring each side of both triangles, and all three angles of each triangle. If the lengths of the sides are the same, and so are the angles, then the triangles are congruent... if not, then the triangles are not congruent. If the triangles have the exact same size and shape then they are congruent.
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Because Corresponding Parts of Congruent Triangles, there are five ways to prove that two triangles are congruent. Show that all sides are congruent. (SSS) Show that two sides and their common angle are congruent. (SAS) Show that two angles and their common side are congruent. (ASA) Show that two angles and one of the non common sides are congruent. (AAS) Show that the hypotenuse and one leg of a right triangle are congruent. (HL)
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.