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5.4 Properties of Midsegments - Investigation 1: Triangle Midsegment Properties

Triangle Midsegment

Three Midsegments Conjecture

The three midsegments of a triangle divide it into four congruent triangles.

Triangle MIdsegment - Re-drawn

Step 4 - Question

What conclusion can you make about a midsegment and the large triangle's third side? The midsegment is half the size of the larger third side.

Step 5 - Question

How do they relate? The midsegment is half the largest side. If you multipled 3.92 times 2 it would equal 7.84.

Triangle Midsegment Conjecture

A midsegment of a triangle is parallel to the third side and half the length of the third side.