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geometry mod2 tA/B
| Question | Answer |
|---|---|
| dilation theorem | if a dilation with center O and scale factor r sends point P to P' and Q to Q' then |P'Q'| = r |PQ|. |
| side splitter | a line segment CD is said to split the sides of triangle OAB proportionally if C is a point on OA, D is a point on OB, and OA OB ----- = ------- OC OD we call line segment CD a side splitter |
| triangle side splitter theorem | a line segment splits two sides of a triangle proportionally if and only if it is parallel to the third side. |
| angle theorem | a dilation from center O ad scale factor r maps an angle to an angle of equal measure |
| dilation thorium for circles | a dilation maps a circle to circle, and maps the center to the center |
| dilation theorem for lines | a dilation maps a line to a line. |
| dilation theorem for rays | a dilation maps a ray to a ray sending the endpoint to the endpoint |
| dilation theorem for segments | a dilation maps a line segment PQ to a line segment P'Q" sending the endpoints to the endpoints to the endpoints so that P'Q"= rPQ |