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Honors Geometry Section 8.5 Indirect Measurement & Additional Similarity Theorems

Honors Geometry Section 8.5 Indirect Measurement & Additional Similarity Theorems

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## Honors Geometry Section 8.5 Indirect Measurement & Additional Similarity Theorems

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**Honors Geometry Section 8.5Indirect Measurement &**Additional Similarity Theorems**Similar triangles can be used to find the height of objects.****Proportional Altitudes TheoremIf two triangles are similar,**thencorresponding altitudes are proportional to a pair of corresponding sides.**Let’s think about why this theorem is true. Assume**, why is ?**Proportional Medians Theorem If two triangles are**similar, then corresponding medians are proportional to a pair of corresponding sides.**Proportional Angle Bisectors TheoremIf two triangles are**similar, then corresponding angle bisectors are proportional to a pair of corresponding sides.**Proportional Segments TheoremAn angle bisector of a triangle**divides the opposite side into segments which are proportional to the remaining two sides.