Question

Mei has a large triangular stone that she wants to divide into four smaller triangular stepping stones in a pathway. Explain why cutting along each mid segment creates four congruent stepping stones.

Answer 1

@shubhamsrg

Answer 2

So starting with this one

Answer 3

Each is cut through the mid point. Hence bases of all the 4 triangles are equal. Then each has 1 angle common i.e. 90 degrees.
Also, another angle is equal in each triangle since there are many pairs of parallel sides which correspond to corresponding triangles.

Answer 4

Thus the 4 triangles are congruent by AAS