Posted by **Shadi** on Thursday, June 10, 2010 at 4:17pm.

If [angle]D is a right angle and lines PN, FG, and BD are parallel to each other, prove

[angle]SPN ~ [angle]SFG ~ [angle]SBD

- Geometry -
**Izzy**, Friday, June 13, 2014 at 3:15pm
They are all using angle S, which means it doesn't matter how long you extend the top and bottom lines they will always be the same triangle. All three corresponding angles are the same, which makes all three triangles similar.

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