# Proportional parts in triangles and parallel lines answers

## 7-Proportional Parts in Triangles and Parallel Lines - Kuta Software Proportional Parts in Triangles and Parallel Lines Leave your answer as a fraction in simplest form. x 2. 6 Round your answers to the nearest hundredth.

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If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar. If a line is drawn in a triangle so that it is parallel to one of the sides and it intersects the other two sides then the segments are of proportional lengths:. Parts of two triangles can be proportional; if two triangles are known to be similar then the perimeters are proportional to the measures of corresponding sides. Continuing, if two triangles are known to be similar then the measures of the corresponding altitudes are proportional to the corresponding sides.

We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you! Published by MargaretMargaret King Modified over 3 years ago. If a line intersects 2 sides of a triangle and separates the sides into corresponding segments of proportional lengths, then the line is parallel to the 3 rd side. If 3 or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.

In the Triangle Proportionality Theorem , we have seen that parallel lines cut the sides of a triangle into proportional parts.
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Parallel lines may seem boring, but they have their uses. One of their uses appears in the Triangle Proportionality Theorem , which uses a line constructed parallel to one side of a triangle to establish proportions for the other two sides. First, let's briefly cover parallel lines. Two lines are parallel if they do not intersect. Portions of those lines, such as rays and line segments, are also parallel. In the drawing below, line segment W O is parallel to line segment L F :.

## Proportional Parts in Triangles and Parallel Lines: Find the missing length indicated

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. ## How Do You Use the Triangle Proportionality Theorem to Find Missing Lengths in a Diagram?

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Answers to HW Proportional Parts in Triangles and Parallel Lines (ID: 1). 1) 6. 5) 1. 9) 3. 13) 2) 4. 6) 8. 10) 6. 14) 7. 3) 7) 8. 11) 15) 4) 8. 8)
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Triangle Proportionality Theorem (Video & Examples) // iammrfoster.com

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Name___________________________________. Period____. Date________________. Proportional Parts in Triangles and Parallel Lines. Find the missing.

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