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Proportionality Theorems - Big Ideas Learning

Section Proportionality Theorems 445 Proportionality QuestionEssential Question What Proportionality relationships exist in a triangle intersected by an angle bisector or by a line parallel to one of the sides? Discovering a Proportionality RelationshipWork with a partner. Use dynamic geometry software to draw any Construct DE parallel to BC with endpoints on AB and AC , Compare the ratios of AD to BD and AE to CE. c. Move DE to other locations parallel to BC with endpoints on AB and AC , and repeat part (b).

equally. So, AJ = JK = KL = LB. Point L divides directed line segment AB in the ratio 3 to 1. A E C B D Q N S R P 50 90 72 40 Constructing a Point along a Directed Line Segment Construct the point L on AB — so that the ratio of AL to LB is 3 to 1. SOLUTION hhs_geo_pe_0804.indd 447s_geo_pe_0804.indd 447 11/19/15 12:25 PM/19/15 12:25 PM

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