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

my teacher says i need the congruence rule to prove it

Answer 2

The mid-segment theorem states:
In a triangle, the mid-segment that joins the midpoints of two sides is parallel to and half the length of the third side of the triangle.

Answer 3

i think i have that listed but im not sure

Answer 4

That means in the triangle above, since DE is a mid-segment, DE is parallel to BC and DE is half the length of BC.

Answer 5

Now let's draw the other two mid-segments as you drawing shows.