MathDB

7

Part of 2016 Junior Balkan Team Selection Tests - Moldova

Problems(1)

DF= CG wanted, perpendiculars inside a square

Source: Moldova JBMO TST 2016 2.3

7/10/2020
Let ABCDABCD ba a square and let point EE be the midpoint of side ADAD. Points GG and FF are located on the segment (BE)(BE) such that the lines AGAG and CFCF are perpendicular on the line BEBE. Prove that DF=CGDF= CG.
geometryperpendicularsquareequal segments