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Honors Geometry Section 8.5 Indirect Measurement & Additional Similarity Theorems.

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Presentation on theme: "Honors Geometry Section 8.5 Indirect Measurement & Additional Similarity Theorems."— Presentation transcript:

1 Honors Geometry Section 8.5 Indirect Measurement & Additional Similarity Theorems

2 Similar triangles can be used to find the height of objects.

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5 Proportional Altitudes Theorem If two triangles are similar, then corresponding altitudes are proportional to a pair of corresponding sides.

6 Let’s think about why this theorem is true. Assume, why is ?

7 Proportional Medians Theorem If two triangles are similar, then corresponding medians are proportional to a pair of corresponding sides.

8 Proportional Angle Bisectors Theorem If two triangles are similar, then corresponding angle bisectors are proportional to a pair of corresponding sides.

9 The triangles shown are similar. Solve for x.

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11 Proportional Segments Theorem An angle bisector of a triangle divides the opposite side into segments which are proportional to the remaining two sides.

12 Solve for y.


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