Math  /  Geometry

QuestionWhat must be true about segment MNM N ?

Studdy Solution
Since the ratios are equal, segment MN MN divides AMC \triangle AMC into two similar triangles, AMN \triangle AMN and MNC \triangle MNC . Therefore, the segments MN MN and AC AC are proportional and MN MN is a midsegment of AMC \triangle AMC .
The conclusion is that segment MN MN is a midsegment of AMC \triangle AMC , which implies that MN MN is half the length of AC AC .

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