7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles.

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7.5 PARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

Transcript of 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles.

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7.5 PARTS OF SIMILAR TRIANGLESSpecial Segments of Similar Triangles

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REVIEW

Triangle Similarity Postulates AA SAS SSS

Proportionality—similar figures are proportional Same scale factor applies to all corresponding

sides Scale Factor—new length / old length Side Splitter Theorem (Theorem 7.5) Midsegment Theorem

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REVIEW SCALE FACTOR WITH SCALE ELLA

Let’s watch this short video to review scale factor:

http://mathsnacks.com/scaleella.php Complete the worksheet

Be prepared to share out your responses!

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7.5 PARTS OF SIMILAR TRIANGLES

If two triangles are similar some of their special segments are also proportional

Recall these Special Triangle Segments: Altitude Angle bisector Median

page 501

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SCALE FACTOR = NEW LENGTH / OLD LENGTH

We can use this to help us set up problems with special segments.

Example:

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Try another:

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EXAMPLE:

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THEOREM 7.11 TRIANGLE ANGLE BISECTOR

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MORE PRACTICE: