| Proposed Problem 3 Are the four triangles obtained by joining the midpoints of the sides of a triangle congruent? Conjecture The four triangles obtained by joining the midpoints of the sides of a triangle are congruent. i.e. △ BED ≡ △ EFD ≡ △ ECF ≡ △ DFA Two triangles are cogruent if the lengths of the sides of the first triangle are equal to their corresponding lengths of the sides of the second triangle. |
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| Use △ XYZ which is a dynamic copy of one of the four triangles to realize that: △ BED ≡ △ EFD ≡ △ ECF ≡ △ DFA |