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Transcript
Geometry 6.3 Notes
Name__________________________
Date ___________________ Hr____
1. Two polygons are _____similar_____ polygons if corresponding angles are
___congruent__ and corresponding side lengths are ____proportional______.
2. If two polygons are ______similar______, then the ratio of the lengths of two
corresponding sides is called the ______scale factor______.
3. Theorem 6.1 __________Perimeters of Similar Polygons____________________:
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of
their corresponding side lengths.
4. ___________Corresponding Lengths in Similar Polygons______________: If two
polygons are similar, then the __ratio__ of any two corresponding ___lengths___ in
the polygons is equal to the _____scale factor______ of the similar polygons.
EXAMPLE 1
In the diagram, RST  XYZ.
1. List all pairs of congruent angles.
2. Write the ratios of the corresponding side lengths in a
a statement of proportionality.
3. Find the scale factor of RST to XYZ.
4. Find the value of a.
EXAMPLE 2
In the diagram, LMNOP  RSTUV.
1. Find the scale factor of RSTUV to LMNOP.
2. Find the perimeter of RSTUV.
3. Find the length of diagonal MO.