6-5 Similar Polygons notes
6-5 Similar Polygons notes
6-5 Similar Polygons notes
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Integrated I6-5 <strong>Similar</strong> <strong>Polygons</strong>Properties of similar triangles• Must have at least 2 pairs of corresponding angles that are congruent (thesame)…more specifically, corresponding angles are congruent.• Corresponding sides are in proportion. Their lengths have the same ratio.Example 1Trapezoid LMNP ~ trapezoid QRSTUse the figures to find each measure.1. LP 2. QR 3. ∠ MSolution1. Use a proportion involving LP and QT, the lengths of the side corresponding toLP . Look at the trapezoids for corresponding sides whose lengths are know suchas NP and ST.LP NP= ← Set up ratios to correspond. Here the lengths from the largerQT ST trapezoid are on the top and those of the smaller trapezoid areLet x = LPx 8 =2 66x = 16x = 2 2/3So, LP = 2 2/3 or 2.67 units6-5 <strong>Similar</strong> <strong>Polygons</strong>
Change language