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geometry mod2 tA/B

QuestionAnswer
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
Created by: user-1550741
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