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

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Page 1: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

7.5 PARTS OF SIMILAR TRIANGLESSpecial Segments of Similar Triangles

Page 2: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

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

Page 3: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

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!

Page 4: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

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

Page 5: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

SCALE FACTOR = NEW LENGTH / OLD LENGTH

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

Example:

Page 6: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

Try another:

Page 7: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

EXAMPLE:

Page 8: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

THEOREM 7.11 TRIANGLE ANGLE BISECTOR

Page 9: 7.5 P ARTS OF SIMILAR TRIANGLES Special Segments of Similar Triangles

MORE PRACTICE: